Question

Find the maximum value of Z = 7X + 7Y, subject to the constraints. 

x ≥ 0, y ≥ 0, x + y ≥ 2 and 2x + 3y ≤ 6.

Answer 1

The feasible region determined by the constraints x ≥ 0, y ≥ 0, x + y ≥ 2, 2x + 3y ≤ 6 is given by

The corner points of the feasible region is A(0,2),B(2,0),C(3,0). 

The values of Z at the following points is

The maximum value of Z is 21 at point C(3,0) .