question_answer

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

A) 10

B) 60

C) 30

D) None of these

Correct Answer: C

Solution :

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