在如下线性约束条件下：2x+3y＜=30；x+2y>=10；x>=y；x>=5；y>=0，目标函数2x+3y的极小值为（ ）。
- A.16.5
- B.17.5
- C.20
- D.25
正确答案及解析
正确答案
解析
根据题意，画出可行区域，如图虚线阴影部分。
显然，x=5与x+2y=10相交处时有最小值，联立得x=5，y=2.5，因此2x+3y最小值为25+32.5=17.5。
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