Linear Programming Question 125

Question: On maximizing $ z=4x+9y $ subject to $ x+5y\le 200, $ $ x+5y\le 200,\ \ 2x+3y\le 134 $ and $ x,\ y\ge 0 $ , $ z= $

Options:

A) 380

B) 382

C) 384

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Here, $ A=( 0,40 ),B=(67,0) $ and $ C=(10,38) $ Maximum for $ C $ i.e., z = 40 + 342 = 382.