Linear Programming Question 52

Question: The maximum value of $ z=4x+2y $ subject to the constraints $ 2x+3y\le 18,\ x+y\ge 10 $ ; $ x,\ y\ge 0 $ , is

[MP PET 2001]

Options:

A) 36

B) 40

C) 20

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

After drawing the graph, we get the points on the region are (9, 0), (0, 6), (10, 0), (0, 10) and (12, -2).

But there is no feasible point as no point satisfying all the in equations simultaneously.