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Please solve RD Sharma Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 23 maths textbook solution.

Answers (1)

Answer : (b) quantity in column B is greater

Hint : Putting the corner point in $z=4 x+3 y$

Given :

Corner points of the feasible region determined by the system of linear constraints are

$(0,0),(0,40),(20,40),(60,20),(60,0)$

The objective finction is $z=4 x+3 y$

Solution :

Corner points	$z=4x+3y$
$(0,0)$	$0$
$(0,40)$	$120$
$(20,40)$	$200$
$(60,20)$	$300\; \text {(maximum)}$
$(60,0)$	$240$

$z_{max}=300<325$

So, the correct option is (b) which is quantity in column B is greater

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