The maximum value of the objective function subject to con…

Maths Binomial Theorem & Mathematical Induction MHT CET Previous Year Question - (Linear Programming) Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 11, 2026

The maximum value of the objective function subject to constraints , and is

Text Solution

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The correct answer is:

: Given inequalities are

and

Corresponding equations are

Now, plotting the graph of using the table

	0	6
	4	0

and using the table

	0	4
	8	0

Intersection point of both lines is .

For inequality by substituting we get , which is true, therefore, shaded region will be towards origin.

Now, for , which is true.

Shaded region will be towards origin.

Required region is having points ,

Max. at

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