Explanation Given: Rate at which revenue was generated over the time is: f ( t ) = 10 e .1 t ( 7 ≤ t ≤ 17 ) and rate at which cost was incurred is approximated by: g ( t ) = 3 + 2 t ( 7 ≤ t ≤ 17 ) Year 2007 corresponds to t = 7 . Formula used: Area between two curves: If two functions f and g is continuous function and the also f ( x ) ≥ g ( x ) on the interval [ a , b ] then the area between the graph between the interval [ a , b ] is given by following expression: ∫ a b [ f ( x ) − g ( x ) ] d x Definite integral property: ∫ a b f ( x ) d x = F ( b ) − F ( a ) Here, F ( x ) is the antiderivative of f ( x ) . Calculation: The profit will be the area formed between revenue curve to the cost curve in the given time span. The area under the curves are obtained from following expression. Total profit = ∫ 7 17 [ f ( t ) − g ( t ) ] = ∫ 7 17 ( 10 e 0

MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE

11th Edition

ISBN: 9781323751671

Author: Lial

Publisher: PEARSON C

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Chapter 13.6, Problem 3CP

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To calculate: The total profit over the 10-year period start from year 2007 to end of 2016, if the rate at which revenue was generated over the time is f(t)=10e.1t and rate at which cost was incurred is approximated by g(t)=3+2t.

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Chapter 13.6, Problem 2CP

Chapter 13.6, Problem 4CP

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Chapter 13 Solutions

MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE

Ch. 13.1 - Checkpoint 1 Find an antiderivative for each of...Ch. 13.1 - Checkpoint 2 Find each of the...Ch. 13.1 - Prob. 3CP Ch. 13.1 - Prob. 4CP Ch. 13.1 - Prob. 5CP Ch. 13.1 - Prob. 6CP Ch. 13.1 - Prob. 7CP Ch. 13.1 - Checkpoint 8 The marginal cost at a level of...Ch. 13.1 - 1. What must be true of F(x) and G(x) if both are...Ch. 13.1 - 2. How is the antiderivative of a function related...

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The total profit over the 10-year period start from year 2007 to end of 2016 , if the rate at which revenue was generated over the time is f ( t ) = 10 e .1 t and rate at which cost was incurred is approximated by g ( t ) = 3 + 2 t .

Solution Summary: The author calculates the total profit over the 10-year period starting from year 2007 to end of 2016.

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To calculate: The total profit over the 10-year period start from year 2007 to end of 2016, if the rate at which revenue was generated over the time is f(t)=10e.1t and rate at which cost was incurred is approximated by g(t)=3+2t.

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Chapter 13 Solutions