(a) Explanation Given Information: OHaganBooks.com is transferring the interns to its competitor JungleBooks.com for a small fee of $ 400 per intern which is decreasing at a rate of $ 20 per week and transfer 5 students per week which is increasing at a rate of 4 students per week. Formula Used: Marginal cost is basically the derivative of the cost function C ( x ) and is defined by C ′ ( x ) . The revenue of the company is defined as the product of the price of each item to the number of items sold. Calculation: Consider the number of interns transferred per week is, n ( t ) and the cost of each intern is p ( t ) . A number of interns transferred at a time t = 0 are n ( 0 ) = 5 . The rate of increase in the intern transfer is, n ′ ( 0 ) = 4 per week. The charge of each intern at the time t = 0 is p ( 0 ) = 400 . The rate of change of price is p ′ ( 0 ) = − 20 intern per week. Evaluate the revenue, R ( t ) = p ( t ) × n ( t ) Evaluate the revenue at the time t = 0 (b) To determine To calculate: The rate of increase in the transfer of interns in order to increase the revenue at a rate of $ 3900 per week if OHaganBooks.com is transferring the interns to its competitor JungleBooks.com for a small fee of $ 400 per intern which is decreasing at a rate of $ 20 per week and transfer 5 students per week which is increasing at a rate of 4 students per week.

Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th

7th Edition

ISBN: 9781337275972

Author: Waner, Stefan; Costenoble, Steven

Publisher: Cengage Learning

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Chapter 11, Problem 62RE

(a)

To determine

To calculate: The rate of change of weekly revenue of OHaganBooks.com if it is transferring the interns to its competitor JungleBooks.com for a small fee of $400 per intern which is decreasing at a rate of $20 per week and transfer 5 students per week which is increasing at a rate of 4 students per week.

(b)

To determine

To calculate: The rate of increase in the transfer of interns in order to increase the revenue at a rate of $3900 per week if OHaganBooks.com is transferring the interns to its competitor JungleBooks.com for a small fee of $400 per intern which is decreasing at a rate of $20 per week and transfer 5 students per week which is increasing at a rate of 4 students per week.

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Chapter 11, Problem 61RE

Chapter 11, Problem 63RE

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Chapter 11 Solutions

Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th

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The rate of change of weekly revenue of OHaganBooks.com if it is transferring the interns to its competitor JungleBooks.com for a small fee of $ 400 per intern which is decreasing at a rate of $ 20 per week and transfer 5 students per week which is increasing at a rate of 4 students per week.

Solution Summary: The author calculates the rate of change of weekly revenue of OHaganBooks.com if it is transferring the interns to its competitor Jungle Books.

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Chapter 11 Solutions