Linear Programming Question 26

Question: The feasible region for the following constraints $ L_1\le 0,L_2\ge 0,L_3=0,x\ge 0,y\ge 0 $ in the diagram shown is

[Kerala (Engg.) 2005]

Options:

A) Area DHF

B) Area AHC

C) Line segment EG

D) Line segment GI

E) Line segment IC

Show Answer

Answer:

Correct Answer: C

Solution:

The common region $ L_1\le 0,L_2\ge 0,$ is the area $DHF$ as we consider the area above line $L_2=0$ and under the line $L_1=0$

In this area line segment $EG$ is the region which also satisfies $L_3=0$

So, the line segment $EG$ is the right answer.

Hence, option(C) is the correct answer.