Linear Programming Question 21

Question: Consider $ \frac{x}{2}+\frac{y}{4}\ge 1 $ and $ \frac{x}{3}+\frac{y}{2}\le 1,x,y\ge 0. $ Then number of possible solutions are:

Options:

A) Zero

B) Unique

C) Infinite

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Consider $ \frac{x}{2}+\frac{y}{4}\ge 1,\frac{x}{3}+\frac{y}{2}\le 1,x,y\ge 0 $ Convert them into equation and solve them and draw the graph of these equations We get y=1 and x=3/2