A bus company believes that it will need the follow- ing numbers of bus drivers during each of the next five years: 60 drivers in year 1; 70 drivers in year 2; 50 drivers in year 3; 65 drivers in year 4; and 75 driv- ers in year 5. At the beginning of each year, the bus company must decide how many drivers to hire or fire. It costs $4000 to hire a driver and $2000 to fire a driver. A driver’s salary is $10,000 per year. At the beginning of year 1, the company has 50 drivers. A driver hired at the beginning of a year can be used to meet the current year’s requirements and is paid full salary for the current year. a. Determine how to minimize the bus company’s sal- ary, hiring, and firing costs over the next five years. b. Use SolverTable to determine how the total number hired, total number fired, and total cost change as the unit hiring and firing costs each increase by the same percentage.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 54P
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A bus company believes that it will need the follow-
ing numbers of bus drivers during each of the next

five years: 60 drivers in year 1; 70 drivers in year 2;

50 drivers in year 3; 65 drivers in year 4; and 75 driv-
ers in year 5. At the beginning of each year, the bus

company must decide how many drivers to hire or
fire. It costs $4000 to hire a driver and $2000 to fire
a driver. A driver’s salary is $10,000 per year. At
the beginning of year 1, the company has 50 drivers.
A driver hired at the beginning of a year can be used
to meet the current year’s requirements and is paid
full salary for the current year.

a. Determine how to minimize the bus company’s sal-
ary, hiring, and firing costs over the next five years.

b. Use SolverTable to determine how the total number
hired, total number fired, and total cost change as
the unit hiring and firing costs each increase by the
same percentage.

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