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Question

Maximize Z=3x+4y
subject to the constraints: x+y4,x0,y0

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Solution

The feasible region determined by the constraints x+y4,x0,y0 is as follows.
The corner points of the feasible region are O(0,0),A(4,0) and B(0,4).
The values of z at these points are as follows.
Corner point Z=3x+4y
O(0,0) 0
A(4,0)12
B(0,4)16
Maximum
Therefore, the maximum value of Z is 16 at the point B(0,4)
386370_422900_ans_a4b236fd13c348d6a4680f7d77ba0ed3.png

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