question_answer

The point at which the maximum value of \[(x+y)\] subject to the constraints \[2x+5y\le 100\], \[\frac{x}{25}+\frac{y}{49}\le 1\], \[x,\ y\ge 0\] is obtained, is 

A)                 (10, 20)

B)                 (20, 10)

C)                 (15, 15)

D)                 \[\left( \frac{50}{3},\ \frac{40}{3} \right)\]

Correct Answer: D

Solution :

                Since the points given in, and does not satisfy the given inequalities.                           Hence, option  is correct.