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              [MP PET 1995]

A)                 10          

B)                 60

C)                 30          

D)                 None of these

Correct Answer: C

Solution :

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