An auto dealer believes that demand for 2024 model cars will be normally distributed with a mean of 200 and a standard deviation of 30. His cost of receiving a car is $25,000, and he sells the car for $40,000. Half of all cars not sold at full price can be sold for $30,000. He is considering ordering 200, 220, 240, 269, 280, or 300 cars. Which order quantity has the highest expected (average) profit? Which has the lowest standard deviation in profit?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...
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An auto dealer believes that demand for 2024 model cars will be normally distributed with a mean of 200 and a standard deviation of 30. His cost of receiving a car is $25,000, and he sells the car for $40,000. Half of all cars not sold at full price can be sold for $30,000. He is considering ordering 200, 220, 240, 269, 280, or 300 cars. Which order quantity has the highest expected (average) profit? Which has the lowest standard deviation in profit?
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,