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  • Provide solution for RD Sharma maths Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 8 textbook solution.

Provide solution for RD Sharma maths Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 8 textbook solution.

Answers (1)

Answer : (c) 2 x-y \geq 10

Hint :  Draw the graph and puts points on it

Given : z_{\min }=6 x+10 y subject to the constraints x \geq 6 ; y \geq 2 ; 2 x+y \geq 10 ; x, y \geq 10

Solution :

\begin{aligned} &x \geq 6 ; y \geq 2 ; 2 x+y \geq 10 ; x, y \geq 10 \\ &x=6, y=2,2 x+y=10 \end{aligned}

By the given condition,

The shaded region represent the feasible of the given LPP

We observe that the feasible region is due to constraint x \geq 6 ; y \geq 2

Therefore, the redundant constraint is 2x+y\geq 10

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