Explanation Consider the given equation: 2000 R 2 = n 3 Differentiate both sides with respect to time t . d d t ( 2000 R 2 ) = d d t ( n 3 ) 2000 ( 2 R d R d t ) = 3 n 2 d n d t d R d t = 3 n 2 2000 ( 2 ) ( R ) ( d n d t ) Substitute 128 for R , 10 for d n d t and 320 for n

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ISBN: 9780135240687

Author: Lial

Publisher: PEARSON

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Chapter 12.5, Problem 14E

To determine

To calculate: The rate of change of revenue with respect to time for Bank of America, if the company had 320,000 employees, a revenue of $128 billion and was adding employees at the rate of 10,000 employees/year. The relationship between them is given by the following equation:

2000R2=n3 where R is the revenue in billions of dollars and n is the number of employees in thousands.

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Chapter 12.5, Problem 13E

Chapter 12.5, Problem 15E

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Solution Summary: The author calculates the rate of change of revenue with respect to time for Bank of America, if the company had 320,000 employees and was adding 10,000 employees/year.

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