(a) Explanation Given: The profit in dollars from the sale of x drones can be approximated by: P ( x ) = 400 x − 490 x − 600 ( 5 ≤ x ≤ 25 ) . Formula used: If P ( x ) is the profit function, then the marginal profit (rate of change of profit) is given by the derivative P ′ ( x ) . Calculation: Consider the provided profit function: P ( x ) = 400 x − 490 x − 600 ( 5 ≤ x ≤ 25 ) </ (b) To determine To calculate: The marginal profit for x = 15 if the profit in dollars from the sale of x drones can be approximated by P ( x ) = 400 x − 490 x − 600 ( 5 ≤ x ≤ 25 ) .

MyLab Math with Pearson eText -- Standalone Access Card -- for Mathematics with Applications in the Management, Natural, and Social Sciences (12th Edition)

12th Edition

ISBN: 9780134856551

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Question

Chapter 11.5, Problem 48E

(a)

To determine

To calculate: The marginal profit for x=10 if the profit in dollars from the sale of x drones can be approximated by P(x)=400x−490x−600 (5≤x≤25).

(b)

To determine

To calculate: The marginal profit for x=15 if the profit in dollars from the sale of x drones can be approximated by P(x)=400x−490x−600 (5≤x≤25).

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Chapter 11.5, Problem 47E

Chapter 11.5, Problem 46E

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Chapter 11 Solutions

MyLab Math with Pearson eText -- Standalone Access Card -- for Mathematics with Applications in the Management, Natural, and Social Sciences (12th Edition)

Knowledge Booster

The marginal profit for x = 10 if the profit in dollars from the sale of x drones can be approximated by P ( x ) = 400 x − 490 x − 600 ( 5 ≤ x ≤ 25 ) .

Solution Summary: The author calculates the marginal profit for x=10 if the profit in dollars from the sale of drones can be approximated by P(x)

To calculate: The marginal profit for x=10 if the profit in dollars from the sale of x drones can be approximated by P(x)=400x−490x−600 (5≤x≤25).

To calculate: The marginal profit for x=15 if the profit in dollars from the sale of x drones can be approximated by P(x)=400x−490x−600 (5≤x≤25).

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Chapter 11 Solutions