伏格尔法，运输问题详解

短命女 2023-01-17 02:28 306阅读 0赞

伏格尔法又称差值法，该方法考虑到，某产地的产品如不能按最小运费就近供应，就考虑次小运费，这就有一个差额。差额越大，说明不能按最小运费调运时，运费增加越多。因而对差额最大处，就应当采用最小运费调运。同理也适用于产销量分配。

具体步骤如下：

1.计算每行、列中的最小元素和次小元素的差值，标在表的下方（列差）和右方（行差）

2.找出差额最大的列或行，将运输量赋予该列或行的最小元素

3.删掉供需平衡的行或列

4.循环上诉过程

1.示例如下表：

2. 计算步骤

<table> 
 <tbody> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;width:77pt;">第一步</td> 
 <td colspan="7" style="text-align:left;vertical-align:middle;">列出每行和每列的最小差额</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">11</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">8</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;width:77pt;">第二步</td> 
 <td colspan="7" style="text-align:left;vertical-align:middle;">取差额最大的列或者行，B2列，取最小的数4（A3B2），A3的产量为9，B2的销量为6 （6,9）取最小数，6 ，填入A3B2</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">11</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">8</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td colspan="8" style="text-align:left;vertical-align:middle;">同时，B2列的销量剩余为0，A3的产出剩余为3，B2列，产销平衡，划去B2列。</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">8</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;"> 　 </td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;width:77pt;">第三步</td> 
 <td colspan="7" style="text-align:left;vertical-align:middle;">列出每行和每列的最小差额，红色的部分</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">8</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;width:77pt;">第四步</td> 
 <td colspan="7" style="text-align:left;vertical-align:middle;">取差额最大的列或者行，B4列，取最小的数5（A3B4），A3的产量剩余3，B4的销量剩余为6 （3,6）取最小数，3 ，填入A3B4。</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">8</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td colspan="8" style="text-align:left;vertical-align:middle;">同时，B4列的销量剩余为3，A3的产出剩余为0，A3行，产销平衡，划去A3行。</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">8</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;width:77pt;">第五步</td> 
 <td colspan="7" style="text-align:left;vertical-align:middle;">列出每行和每列的最小差额，红色的部分</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">8</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;width:77pt;">第六步</td> 
 <td colspan="7" style="text-align:left;vertical-align:middle;">取差额最大的列或者行，B1列也可是B4列，此处取B1列，取最小的数1，A2的产量剩余4，B1的销量剩余为3 （3,4）取最小数，3 ，填入A2B1。</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">8</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td colspan="8" style="text-align:left;vertical-align:middle;">同时，B1列的销量剩余为0，A2的产出剩余为1，B1列，产销平衡，划去B1列。</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">8</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;width:77pt;">第七步</td> 
 <td colspan="7" style="text-align:left;vertical-align:middle;">列出每行和每列的最小差额，红色的部分</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">8</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;width:77pt;">第八步</td> 
 <td colspan="7" style="text-align:left;vertical-align:middle;">取差额最大的列或者行，此处取A1行，取最小的数3（A1B3），A1的产量剩余7，B3的销量剩余为5 （5,7）取最小数，5，填入A1B3。</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">8</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td colspan="8" style="text-align:left;vertical-align:middle;">同时，B3列的销量剩余为0，A1的产出剩余为2，B3列，产销平衡，划去B3列。</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>5</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">8</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;width:77pt;">第九步</td> 
 <td colspan="7" style="text-align:left;vertical-align:middle;">列出每行和每列的最小差额，红色的部分</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>5</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">8</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;width:77pt;">第十步</td> 
 <td colspan="7" style="text-align:left;vertical-align:middle;">取差额最大的列或者行，此处取B4列，取最小的数8（A2B4），A2的产量剩余1，B4的销量剩余为3 （1,3）取最小数，1，填入A2B4。</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>5</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">8</td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td colspan="8" style="text-align:left;vertical-align:middle;">同时，B4列的销量剩余为2，A2的产出剩余为0，A2行，产销平衡，划去A2行。</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>5</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>1</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;width:77pt;">第十一步</td> 
 <td colspan="7" style="text-align:left;vertical-align:middle;">列出每行和每列的最小差额，红色的部分</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>5</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>1</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;width:77pt;">第十二步</td> 
 <td colspan="7" style="text-align:left;vertical-align:middle;">取差额最大的列或者行，此处取B4列，取最小的数10（A1B4），A1的产量剩余2，B4的销量剩余为2 （2,2）取最小数，2，填入A1B4。</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>5</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">10</td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>1</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td colspan="8" style="text-align:left;vertical-align:middle;">同时，B4列的销量剩余为0，A1的产出剩余为0，A1行，B4列，产销平衡，划去A1行，B4列。</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">运费</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 <td style="text-align:center;vertical-align:middle;">产量</td> 
 <td style="text-align:center;vertical-align:middle;">产量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">最小行差额1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>5</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>2</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">7</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>1</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">4</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>6</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>　</h3> </td> 
 <td style="text-align:center;vertical-align:middle;"> <h3>3</h3> </td> 
 <td style="text-align:center;vertical-align:middle;">9</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">销量剩余</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">0</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">最小列差额1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 </tr> 
 </tbody> 
</table>

<table style="width:385pt;"> 
 <tbody> 
 <tr> 
 <td colspan="2" style="text-align:center;vertical-align:middle;width:154pt;">伏格尔法的最终结果是</td> 
 <td style="text-align:center;vertical-align:middle;width:77pt;"></td> 
 <td style="text-align:center;vertical-align:middle;width:77pt;"></td> 
 <td style="text-align:center;vertical-align:middle;width:77pt;"></td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">配置</td> 
 <td style="text-align:center;vertical-align:middle;">B1</td> 
 <td style="text-align:center;vertical-align:middle;">B2</td> 
 <td style="text-align:center;vertical-align:middle;">B3</td> 
 <td style="text-align:center;vertical-align:middle;">B4</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A1</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">5</td> 
 <td style="text-align:center;vertical-align:middle;">2</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A2</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">1</td> 
 </tr> 
 <tr> 
 <td style="text-align:center;vertical-align:middle;">A3</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">6</td> 
 <td style="text-align:center;vertical-align:middle;">　</td> 
 <td style="text-align:center;vertical-align:middle;">3</td> 
 </tr> 
 </tbody> 
</table>

<table> 
 <tbody> 
 <tr> 
 <td colspan="2" style="text-align:center;vertical-align:middle;width:154pt;">min运费</td> 
 <td colspan="9" style="text-align:center;vertical-align:middle;">5*3+2*10+3*1+1*8+6*4+3*5=85</td> 
 </tr> 
 </tbody> 
</table>

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