Explanation Given: Revenue generated is related to the amount x spent on advertising by the following equation; R ( x ) = − 3.21 x 3 + 62.14 x 2 + 172.92 x + 48.65 ; ( 0 < x ≤ 14 ) Calculation: The point of diminishing returns occur at the inflection point. Therefore in order to determine the diminishing point, the inflection point should be determined. R ( x ) = − 3.21 x 3 + 62.14 x 2 + 172.92 x + 48.65 ; ( 0 < x ≤ 14 ) Do first derivative of the function. R ′ ( x ) = − 9.63 x 2 + 124.28 x + 172.92 Do second derivative of the function

Mathematics with Applications and Mylab Math with Pearson EText -- Title-Specific Access Card Package

12th Edition

ISBN: 9780134862668

Author: Lial, Margaret L.

Publisher: Pearson Education Canada

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Chapter 12.2, Problem 58E

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To calculate: The point of diminishing returns for the revenue generated from cattle farming.

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Chapter 12.2, Problem 57E

Chapter 12.2, Problem 59E

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Chapter 12 Solutions

Mathematics with Applications and Mylab Math with Pearson EText -- Title-Specific Access Card Package

Ch. 12.1 - Checkpoint 1 For what values of x is the function...Ch. 12.1 - Checkpoint 2 Find all intervals on which is...Ch. 12.1 - Checkpoint 3 Identity the x-values of all points...Ch. 12.1 - Checkpoint 4 Find the critical numbers for each of...Ch. 12.1 - Prob. 5CP Ch. 12.1 - Prob. 6CP Ch. 12.1 - Checkpoint 7 Find the locations of the local...Ch. 12.1 - Prob. 8CP Ch. 12.1 - Checkpoint 9 If a sales function is given by...Ch. 12.1 - Prob. 1E

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