Linear Programming Question 109

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

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 as (9, 0), (0, 6), (10, 0), (0, 10) and (12, -2) But there is no feasible point as no point satisfy all the in equations simultaneously.