Linear Programming Question 98

Question: Shaded region is represented by

[MP PET 1997]

Options:

A) $ 2x+5y\ge 80,\ x+y\le 20,\ x\ge 0,\ y\le 0 $

B) $ 2x+5y\ge 80,\ x+y\ge 20,\ x\ge 0,\ y\ge 0 $

C) $ 2x+5y\le 80,\ x+y\le 20,\ x\ge 0,\ y\ge 0 $

D) $ 2x+5y\le 80,\ x+y\le 20,\ x\le 0,\ y\le 0 $

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Answer:

Correct Answer: C

Solution:

In given all equations, the origin is present in shaded area, answer satisfy this condition.