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

• A. area $DHF$
• B. area $AHC$
• C. line segment $EG$
• D. line segment $GI$
• E. line segment $IC$

Answer 1

The correct option is C

line segment $EG$

The explanation for the correct answer.

Solve the feasible region of the constraints $L_1\le 0,L_2\ge 0,L_3=0,x\ge 0,y\ge 0$

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.