Linear Programming Question 59

Question: The sum of two positive integers is at most 5. The difference between two times of second number and first number is at most 4. If the first number is x and second number y, then for maximizing the product of these two numbers, the mathematical formulation is

Options:

A) $ x+y\ge 5 $ , $ 2y-x\ge 4,\ \ x\ge 0,\ y\ge 0 $

B) $ x+y\ge 5 $ , $ -2x+y\ge 4,\ \ x\ge 0,\ y\ge 0 $

C) $ x+y\le 5 $ , $ 2y-x\le 4,\ \ x\ge 0,\ y\ge 0 $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Obviously $ x+y\le 5, $

$ 2y-x\le 4,x\ge 0y\ge 0 $ .