Linear Programming Question 56

Question: 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

Options:

A) (10, 20)

B) (20, 10)

C) (15, 15)

D) $ ( \frac{50}{3},\ \frac{40}{3} ) $

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Answer:

Correct Answer: D

Solution:

Since the points given in, and does not satisfy the given inequalities.

Hence, option D is correct.