Explanation Given Information: The provided expression is ( p + 1 ) q 2 = 10 , 000 when p = 99 . Formula Used: As per the product rule, if two functions are given in the form f ( x ) . g ( x ) , then the derivative is given as: d d x ( f g ) = f d g d x + g d f d x If p = f ( q ) is the demand for the q units and price p, then at the points ( q A , p A ) , then, Elasticity of demand= η = − p q d q d p Calculation: The provided expression is ( p + 1 ) q 2 = 10 , 000 , Put p = 99 in the equation, to get the value of q , ( 99 + 1 ) q 2 = 10 , 000 100 q 2 = 10000 q = 10 Hence, the value of q = 10

MATHMATICAL APPLICATIONS FOR THE MANAGEM

11th Edition

ISBN: 9781305758063

Author: HARSHBARGER

Publisher: CENGAGE C

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Chapter 11, Problem 14T

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To calculate: The rate of change of quantity for (p+1)q2=10,000 at p=99.

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Chapter 11, Problem 13T

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MATHMATICAL APPLICATIONS FOR THE MANAGEM

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The rate of change of quantity for ( p + 1 ) q 2 = 10 , 000 at p = 99 .

Solution Summary: The author explains how to calculate the rate of change of quantity for (p+1)q2=10,000.

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To calculate: The rate of change of quantity for (p+1)q2=10,000 at p=99.

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