Maths Binomial Theorem & Mathematical Induction MHT CET Previous Year Question - (Linear Programming) Single Correct MCQ
Published on: August 14, 2026

The maximum value of subject to and is

A
12
B
11.5
C
10
D
17.33

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Text Solution

Verified by Experts
The correct answer is:
A

: The given L.P.P can be written as,

Maximize :

subject to

Converting the inequations into equations, we obtain the following equations.

or

or

On solving equations of lines we get the point of intersection .

The shaded region represents the feasible region of the given LPP.

The corner points of the feasible region are , and .

The values of the objective function at these points are given in the following table.

Point

Value of objective function

Clearly maximum value of is 12 at .

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