12th Class Mathematics Linear Programming Question Bank Case Based (MCQs) - Linear Programming

The feasible region for a LPP is shown shaded in the figure. Let \[F=3x-4y\] be the objective function.

Maximum value of F is

A) 0

B) 8

C) 12

D) 18

Correct Answer: A

Solution :

Construct the following table of values of the objective function F:

Corner Points	Value of \[F=3x-4y\]
(0, 0) (6, 12) (6, 16) (0, 4)	\[3\times 0-4\times 0=0\to Maximum\] \[3\times 6-4\times 12=-30\] \[3\times 6-4\times 16=-46\] \[3\times 0-4\times 4=-16\]

Hence, maximum of F =0.