已知z=2x-y,式中x,y满足 则z最大值为__________。

作者: tihaiku 人气: - 评论: 0
问题 已知z=2x-y,式中x,y满足 则z最大值为__________。
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解析 可行域如图,z=2x-y是斜率为2的平行线族,其在x轴截距为,因此其在x轴截距最大时z取得最大值,在可行域中,该平行线族中经过x=2与x+y=1交点(2,-1)的直线在x轴截距最大,因此z的最大值为
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