question_answer

The point at which the maximum value of \[(3x+2y)\] subject to the constraints \[x+y\le 2,\ x\ge 0,\ y\ge 0\] is obtained, is          [MP PET 1993]

A)                 (0, 0)     

B)                 (1.5, 1.5)

C)                 (2, 0)     

D)                 (0, 2)

Correct Answer: C

Solution :

                Hence maximum z is at (2, 0).