question_answer

The point at which the maximum value of \[(x+y)\], subject to the constraints \[x+2y\le 70,\ 2x+y\le 95\], \[x,\ y\ge 0\] is obtained, is  

A)                 (30, 25)

B)                 (20, 35)

C)                 (35, 20)

D)                 (40, 15)

Correct Answer: D

Solution :

                  The shaded region represents feasible region hence                                 Max\[z=x+y\]. Obviously it is maximum at (40, 15).