Linear Programming Question 58

Question: The maximum value of $ 10x+5y $ under the constraints $ 3x+y\le 15,\ x+2y\le 8, $

$ x,\ y\ge 0 $ is

Options:

A) 20

B) 50

C) 53

D) 70

Show Answer

Answer:

Correct Answer: C

Solution:

Max $ z=10x+5y $ is at $ ( \frac{22}{5},\frac{9}{5} ) $ i.e. 53.