设x,y满足约束条件则目标函数z=x+y的最大值是（A）3

设x,y满足约束条件则目标函数z=x+y的最大值是

（A）3 （B） 4 （C） 6 （D）8

答案

【解析】不等式表示的区域是一个三角形，3个顶点是，目标函数在取最大值6。

【规律总结】线性规划问题首先作出可行域，若为封闭区域（即几条直线围成的区域）则区域端点的值是目标函数取得最大或最小值，求出直线交点坐标代入目标函数即可求出最大值.

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设x,y满足约束条件则目标函数z=x+y的最大值是 （A）3

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