Find the maximum value of Z = 7X + 7Y, subject to the constraints.
x _≥ 0, y _≥ 0, x + y _≥ 2 and 2x + 3y _≤ 6.

Question

Find the maximum value of Z = 7X + 7Y, subject to the constraints. x ≥ 0, y ≥ 0, x + y ≥ 2 and 2x + 3y ≤ 6.

Philoid · Accepted Answer

The feasible region determined by the constraints x , ,

x + y , 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) .

Find the maximum value of Z = 7X + 7Y, subject to the constraints.x ≥ 0, y ≥ 0, x + y ≥ 2 and 2x + 3y ≤ 6.