Question

Maximise Z=3x+4y
Subject to the constrains:x+y≤4,x≥0,y≥0.

Answer 1

The feasible region determined by the constraints x+y≤4,x≥0,y≥0, 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.

Therefore, the maximum value of Z is 16 at point B(0,4).