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Find the profit function p , in two variable x and y, if it yields the values 23 and 7 at (3,2) and (2,3) respectively .

A

p=11x+5y

B

p=5x+11y

C

p=11x5y

D

p=5x11y

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The correct Answer is:C


Let the profit function be p=ax+by
Given at (3,2) , p attains the value 23.
3a+2b=23 (1)
At (2,3), p attains the value 7..
2a+3b=7 (2)
Solving Eqs. (1) and (2), we get a=11, b=-5
Profit function (p)=11x-5y

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Updated on:21/07/2023

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