Explanation Given information: The function is P ( x ) = − 1 8 x 2 + 7 x + 30 and value of x and Δ x is $24000 and $2000 respectively. Where, . P ( x ) is the difference of Cunningham Realty’s quarterly profits. x is advertising expenditure. Δ x is increase in the advertising expenditure. Formula used: d [ P ( x ) ] = P ′ ( x ) Δ x (1) Where, d [ P ( x ) ] is the difference in Cunningham Realty’s quarterly profits. x is advertising expenditure. P ′ ( x ) is the differential of the function P ( x ) . Δ x is increase in the advertising expenditure. Calculation: The given function is, P ( x ) = − 1 8 x 2 + 7 x + 30 Differentiate above function and get the value of P ′ ( x ) . P ′ ( x ) = d ( − 1 8 x 2 + 7 x + 30 ) d x = − 1 8 d ( x 2 ) d x + 7 d x d</

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Question

Chapter 3.7, Problem 36E

To determine

To calculate: The change in Cunningham Realty’s quarterly profits as advertising expenditure each quarter is increased from 24000$ to 26000$.

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Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

Ch. 3.1 - State the following rules of differentiation in...Ch. 3.1 - Prob. 2CQ Ch. 3.1 - Prob. 3CQ Ch. 3.1 - Prob. 4CQ Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E

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The change in Cunningham Realty’s quarterly profits as advertising expenditure each quarter is increased from 24000$ to 26000$.

Solution Summary: The author calculates the change in Cunningham Realty's quarterly profits as advertising expenditure each quarter is increased from 24000 to 26000.

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To calculate: The change in Cunningham Realty’s quarterly profits as advertising expenditure each quarter is increased from 24000$ to 26000$.

Chapter 3 Solutions