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).