Linear Programming Question 51

Question: The maximum value of $ P=x+3y $ such that $ 2x+y\le 20 $ , $ x+2y\le 20 $ , $ x\ge 0,\ y\ge 0 $ , is

[MP PET 1995]

Options:

A) 10

B) 60

C) 30

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Obviously, $ P=x+3y $ will be maximum at (0, 10). \ $ P=0+3\times 10=30 $ .