6_7.htm

随着各行各业的发展和生产需要

    <td width="9%">1</td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">z'=10/3</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">-7</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="9%">　</td>
    <td width="9%">　</td>
    <td width="9%">　</td>
    <td width="9%">←λ</td>
  </tr>
</table>
</div>

<p>　</p>
<div align="left">

<table border="1" width="85%">
  <tr>
    <td width="8%">B</td>
    <td width="8%">C<sub>B</sub></td>
    <td width="8%">C<sub>B</sub>B<sup>-1</sup></td>
    <td width="8%">C</td>
    <td width="8%">0</td>
    <td width="8%">0</td>
    <td width="8%">0</td>
    <td width="8%">0</td>
    <td width="9%">0</td>
    <td width="9%">0</td>
    <td width="9%">1</td>
    <td width="9%">β</td>
  </tr>
  <tr>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">P<sub>0</sub></td>
    <td width="8%">P<sub>1</sub></td>
    <td width="8%">P<sub>2</sub></td>
    <td width="8%">P<sub>3</sub></td>
    <td width="8%">P<sub>6</sub></td>
    <td width="9%">P<sub>4</sub></td>
    <td width="9%">P<sub>5</sub></td>
    <td width="9%">P<sub>7</sub></td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="8%">A<sub>4</sub></td>
    <td width="8%">0</td>
    <td width="8%">0</td>
    <td width="8%">0</td>
    <td width="8%">　</td>
    <td width="8%">0</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="9%">1</td>
    <td width="9%">0</td>
    <td width="9%">-2</td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="8%">A<sub>1</sub></td>
    <td width="8%">0</td>
    <td width="8%">0</td>
    <td width="8%">9/7</td>
    <td width="8%">　</td>
    <td width="8%">0</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="9%">0</td>
    <td width="9%">1/7</td>
    <td width="9%">2/7</td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="8%">A<sub>2</sub></td>
    <td width="8%">0</td>
    <td width="8%">0</td>
    <td width="8%">10/21</td>
    <td width="8%">　</td>
    <td width="8%">1</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="9%">0</td>
    <td width="9%">-2/21</td>
    <td width="9%">1/7</td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">z'=0</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">-7</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="9%">　</td>
    <td width="9%">　</td>
    <td width="9%">　</td>
    <td width="9%">←λ</td>
  </tr>
</table>
</div>

<p>第二阶段计算结果如下：<br>
</p>

<p>　</p>
<div align="left">

<table border="1" width="85%">
  <tr>
    <td width="6%">B</td>
    <td width="7%">C<sub>B</sub></td>
    <td width="11%">C<sub>B</sub>B<sup>-1</sup></td>
    <td width="8%">C</td>
    <td width="8%">0</td>
    <td width="8%">0</td>
    <td width="8%">0</td>
    <td width="9%">0</td>
    <td width="8%">0</td>
    <td width="9%">0</td>
    <td width="9%">1</td>
    <td width="9%">β</td>
  </tr>
  <tr>
    <td width="6%">　</td>
    <td width="7%">　</td>
    <td width="11%">　</td>
    <td width="8%">P<sub>0</sub></td>
    <td width="8%">P<sub>1</sub></td>
    <td width="8%">P<sub>2</sub></td>
    <td width="8%">P<sub>3</sub></td>
    <td width="9%">P<sub>6</sub></td>
    <td width="8%">P<sub>4</sub></td>
    <td width="9%">P<sub>5</sub></td>
    <td width="9%">P<sub>7</sub></td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">A<sub>4</sub></td>
    <td width="7%">0</td>
    <td width="11%">0</td>
    <td width="8%">0</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">13</td>
    <td width="9%">(2)</td>
    <td width="8%">1</td>
    <td width="9%">0</td>
    <td width="9%">-2</td>
    <td width="9%">0</td>
  </tr>
  <tr>
    <td width="6%">A<sub>1</sub></td>
    <td width="7%">2</td>
    <td width="11%">4/21</td>
    <td width="8%">9/7</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">-2</td>
    <td width="9%">-3/7</td>
    <td width="8%">0</td>
    <td width="9%">1/7</td>
    <td width="9%">2/7</td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">A<sub>2</sub></td>
    <td width="7%">1</td>
    <td width="11%">5/7</td>
    <td width="8%">10/21</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">-1/3</td>
    <td width="9%">-1/21</td>
    <td width="8%">0</td>
    <td width="9%">-2/21</td>
    <td width="9%">1/7</td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">　</td>
    <td width="7%">　</td>
    <td width="11%">z'=64/21</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">-19/21</td>
    <td width="9%">19/21</td>
    <td width="8%">　</td>
    <td width="9%">　</td>
    <td width="9%">　</td>
    <td width="9%">←λ</td>
  </tr>
</table>
</div>

<p>　</p>
<div align="left">

<table border="1" width="85%">
  <tr>
    <td width="6%">B</td>
    <td width="7%">C<sub>B</sub></td>
    <td width="11%">C<sub>B</sub>B<sup>-1</sup></td>
    <td width="8%">C</td>
    <td width="8%">0</td>
    <td width="8%">0</td>
    <td width="8%">0</td>
    <td width="9%">0</td>
    <td width="8%">0</td>
    <td width="9%">0</td>
    <td width="9%">1</td>
    <td width="9%">β</td>
  </tr>
  <tr>
    <td width="6%">　</td>
    <td width="7%">　</td>
    <td width="11%">　</td>
    <td width="8%">P<sub>0</sub></td>
    <td width="8%">P<sub>1</sub></td>
    <td width="8%">P<sub>2</sub></td>
    <td width="8%">P<sub>3</sub></td>
    <td width="9%">P<sub>6</sub></td>
    <td width="8%">P<sub>4</sub></td>
    <td width="9%">P<sub>5</sub></td>
    <td width="9%">P<sub>7</sub></td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">A<sub>6</sub></td>
    <td width="7%">0</td>
    <td width="11%">19/21</td>
    <td width="8%">0</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="9%">1</td>
    <td width="8%">1/2</td>
    <td width="9%">0</td>
    <td width="9%">-1</td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">A<sub>1</sub></td>
    <td width="7%">2</td>
    <td width="11%">4/21</td>
    <td width="8%">9/7</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="9%">0</td>
    <td width="8%">3/14</td>
    <td width="9%">1/7</td>
    <td width="9%">-1/7</td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">A<sub>2</sub></td>
    <td width="7%">1</td>
    <td width="11%">-14/21</td>
    <td width="8%">10/21</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="9%">0</td>
    <td width="8%">1/21</td>
    <td width="9%">-2/21</td>
    <td width="9%">2/21</td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">　</td>
    <td width="7%">　</td>
    <td width="11%">z'=64/21</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="9%">　</td>
    <td width="8%">　</td>
    <td width="9%">　</td>
    <td width="9%">　</td>
    <td width="9%">←λ</td>
  </tr>
</table>
</div>

<p>所以问题的解是：x<sub>1</sub>＝9/7，x<sub>2</sub>＝10/21，maxz＝64/21.<br>
</p>

<p><strong>２．用大M法求解．<br>
</strong>设max z’＝2x<sub>1</sub>＋x<sub>2</sub>＋x<sub>3</sub>－6x<sub>7</sub>，M＝－6<br>
结果如下表．．．<br>
</p>

<p>　</p>
<div align="left">

<table border="1" width="85%">
  <tr>
    <td width="6%">B</td>
    <td width="7%">C<sub>B</sub></td>
    <td width="11%">C<sub>B</sub>B<sup>-1</sup></td>
    <td width="8%">C</td>
    <td width="8%">2</td>
    <td width="8%">1</td>
    <td width="8%">1</td>
    <td width="9%">0</td>
    <td width="8%">0</td>
    <td width="9%">0</td>
    <td width="9%">-6</td>
    <td width="9%">β</td>
  </tr>
  <tr>
    <td width="6%">　</td>
    <td width="7%">　</td>
    <td width="11%">　</td>
    <td width="8%">P<sub>0</sub></td>
    <td width="8%">P<sub>1</sub></td>
    <td width="8%">P<sub>2</sub></td>
    <td width="8%">P<sub>3</sub></td>
    <td width="9%">P<sub>6</sub></td>
    <td width="8%">P<sub>4</sub></td>
    <td width="9%">P<sub>5</sub></td>
    <td width="9%">P<sub>7</sub></td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">A<sub>4</sub></td>
    <td width="7%">0</td>
    <td width="11%">0</td>
    <td width="8%">8</td>
    <td width="8%">4</td>
    <td width="8%">6</td>
    <td width="8%">3</td>
    <td width="9%">0</td>
    <td width="8%">1</td>
    <td width="9%">0</td>
    <td width="9%">0</td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">A<sub>5</sub></td>
    <td width="7%">0</td>
    <td width="11%">0</td>
    <td width="8%">1</td>
    <td width="8%">(3)</td>
    <td width="8%">-6</td>
    <td width="8%">-4</td>
    <td width="9%">-1</td>
    <td width="8%">0</td>
    <td width="9%">1</td>
    <td width="9%">0</td>
    <td width="9%">1/3</td>
  </tr>
  <tr>
    <td width="6%">A<sub>7</sub></td>
    <td width="7%">-6</td>
    <td width="11%">-6</td>
    <td width="8%">4</td>
    <td width="8%">2</td>
    <td width="8%">3</td>
    <td width="8%">-5</td>
    <td width="9%">-1</td>
    <td width="8%">0</td>
    <td width="9%">0</td>
    <td width="9%">1</td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">　</td>
    <td width="7%">　</td>
    <td width="11%">z'=-24</td>
    <td width="8%">　</td>
    <td width="8%">14</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="9%">　</td>
    <td width="8%">　</td>
    <td width="9%">　</td>
    <td width="9%">　</td>
    <td width="9%">←λ</td>
  </tr>
</table>
</div>

<p>　</p>
<div align="left">

<table border="1" width="85%">
  <tr>
    <td width="6%">B</td>
    <td width="7%">C<sub>B</sub></td>
    <td width="11%">C<sub>B</sub>B<sup>-1</sup></td>
    <td width="8%">C</td>
    <td width="8%">2</td>
    <td width="8%">1</td>
    <td width="8%">1</td>
    <td width="9%">0</td>
    <td width="8%">0</td>
    <td width="9%">0</td>
    <td width="9%">-6</td>
    <td width="9%">β</td>
  </tr>
  <tr>
    <td width="6%">　</td>
    <td width="7%">　</td>
    <td width="11%">　</td>
    <td width="8%">P<sub>0</sub></td>
    <td width="8%">P<sub>1</sub></td>
    <td width="8%">P<sub>2</sub></td>
    <td width="8%">P<sub>3</sub></td>
    <td width="9%">P<sub>6</sub></td>
    <td width="8%">P<sub>4</sub></td>
    <td width="9%">P<sub>5</sub></td>
    <td width="9%">P<sub>7</sub></td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">A<sub>4</sub></td>
    <td width="7%">0</td>
    <td width="11%">0</td>
    <td width="8%">20/3</td>
    <td width="8%">0</td>
    <td width="8%">14</td>
    <td width="8%">　</td>
    <td width="9%">　</td>
    <td width="8%">1</td>
    <td width="9%">-4/3</td>
    <td width="9%">0</td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">A<sub>1</sub></td>
    <td width="7%">2</td>
    <td width="11%">14/3</td>
    <td width="8%">1/3</td>
    <td width="8%">1</td>
    <td width="8%">-2</td>
    <td width="8%">　</td>
    <td width="9%">　</td>
    <td width="8%">0</td>
    <td width="9%">1/3</td>
    <td width="9%">0</td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">A<sub>7</sub></td>
    <td width="7%">-6</td>
    <td width="11%">-6</td>
    <td width="8%">10/3</td>
    <td width="8%">0</td>
    <td width="8%">(7)</td>
    <td width="8%">　</td>
    <td width="9%">　</td>
    <td width="8%">0</td>
    <td width="9%">-2/3</td>
    <td width="9%">1</td>
    <td width="9%">10/21</td>
  </tr>
  <tr>
    <td width="6%">　</td>
    <td width="7%">　</td>
    <td width="11%">z'=-58/3</td>
    <td width="8%">　</td>
    <td width="8%">　</td>
    <td width="8%">47</td>
    <td width="8%">　</td>
    <td width="9%">　</td>
    <td width="8%">　</td>
    <td width="9%">　</td>
    <td width="9%">　</td>
    <td width="9%">←λ</td>
  </tr>
</table>
</div>

<p>　</p>
<div align="left">

<table border="1" width="85%">
  <tr>
    <td width="6%">B</td>
    <td width="7%">C<sub>B</sub></td>
    <td width="11%">C<sub>B</sub>B<sup>-1</sup></td>
    <td width="8%">C</td>
    <td width="8%">2</td>
    <td width="8%">1</td>
    <td width="8%">1</td>
    <td width="9%">0</td>
    <td width="8%">0</td>
    <td width="9%">0</td>
    <td width="9%">-6</td>
    <td width="9%">β</td>
  </tr>
  <tr>
    <td width="6%">　</td>
    <td width="7%">　</td>
    <td width="11%">　</td>
    <td width="8%">P<sub>0</sub></td>
    <td width="8%">P<sub>1</sub></td>
    <td width="8%">P<sub>2</sub></td>
    <td width="8%">P<sub>3</sub></td>
    <td width="9%">P<sub>6</sub></td>
    <td width="8%">P<sub>4</sub></td>
    <td width="9%">P<sub>5</sub></td>
    <td width="9%">P<sub>7</sub></td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">A<sub>4</sub></td>
    <td width="7%">0</td>
    <td width="11%">0</td>
    <td width="8%">0</td>
    <td width="8%">　</td>
    <td width="8%">0</td>
    <td width="8%">　</td>
    <td width="9%">(2)</td>
    <td width="8%">1</td>
    <td width="9%">0</td>
    <td width="9%">-2</td>
    <td width="9%">0</td>
  </tr>
  <tr>
    <td width="6%">A<sub>1</sub></td>
    <td width="7%">2</td>
    <td width="11%">4/21</td>
    <td width="8%">9/7</td>
    <td width="8%">　</td>
    <td width="8%">0</td>
    <td width="8%">　</td>
    <td width="9%">-3/7</td>
    <td width="8%">0</td>
    <td width="9%">1/7</td>
    <td width="9%">2/7</td>
    <td width="9%">　</td>
  </tr>
  <tr>
    <td width="6%">A<sub>2</sub></td>