I Carry rents trucks for moving and hauling. Each truck costs the company anaverage of $8,000, and the inventory of trucks varies monthly depending on thenumber that are rented out. During the first eight months of last year, I Carry hadthe following ending inventory of trucks on hand:Month Number of Trucks Month Number of TrucksJanuary 26 May 13February 38 June 9March 31 July 16April 22 August 5I Carry uses a 20 percent annual interest rate to represent the cost of capital.Yearly costs of storage amount to 3 percent of the value of each truck, and the costof liability insurance is 2 percent.a. Determine the total handling cost incurred by I Carry during the period Januaryto August. Assume for the purposes of your calculation that the holding costincurred in a month is proportional to the inventory on hand at the end of themonth.b. Assuming that these eight months are representative, estimate the average annual cost of holding trucks

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section3.8: A Multiperiod Production Model
Problem 18P: The Pigskin Company produces footballs. Pigskin must decide how many footballs to produce each...
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I Carry rents trucks for moving and hauling. Each truck costs the company an
average of $8,000, and the inventory of trucks varies monthly depending on the
number that are rented out. During the first eight months of last year, I Carry had
the following ending inventory of trucks on hand:
Month Number of Trucks Month Number of Trucks
January 26 May 13
February 38 June 9
March 31 July 16
April 22 August 5
I Carry uses a 20 percent annual interest rate to represent the cost of capital.
Yearly costs of storage amount to 3 percent of the value of each truck, and the cost
of liability insurance is 2 percent.
a. Determine the total handling cost incurred by I Carry during the period January
to August. Assume for the purposes of your calculation that the holding cost
incurred in a month is proportional to the inventory on hand at the end of the
month.
b. Assuming that these eight months are representative, estimate the average annual cost of holding trucks

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ISBN:
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Cengage,