Linear Programming Question 62

Question: The point at which the maximum value of $ (x+y) $ , subject to the constraints $ x+2y\le 70,\ 2x+y\le 95 $ , $ x,\ y\ge 0 $ is obtained, is

Options:

A) (30, 25)

B) (20, 35)

C) (35, 20)

D) (40, 15)

Show Answer

Answer:

Correct Answer: D

Solution:

The shaded region represents feasible region hence

Max $ z=x+y $ .

Obviously it is maximum at (40, 15).