Explanation Given information: The inventory I ( t ) for an item in warehouse is given by I ( t ) = 5000 ( 0.9 ) t Where t is measured in days since June 1. Concept used: Average value of a continued function over the interval [ a , b ] is given by f a v e = 1 b − a ∫ a b f ( t ) d t Value of the integration ∫ a b p t d t is given by [ p a ln p − p b ln p ] . Calculation: We have I ( t ) = 5000 ( 0.9 ) t To determine (b) To sketch: The graph of I ( t ) and illustrate the average value.

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Question

Chapter 5.6, Problem 11P

To determine

(a)

To calculate:

The average inventory in the warehouse during the 90 days after June1.

To determine

(b)

To sketch:

The graph of I(t) and illustrate the average value.

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Chapter 5.6, Problem 10P

Chapter 5.6, Problem 12P

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Chapter 5 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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(a) To calculate: The average inventory in the warehouse during the 90 days after June1.

Solution Summary: The author calculates the average inventory in the warehouse during the 90 days after June1.