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...
icon
Related questions
icon
Concept explainers
Topic Video
Question
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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Inventory management
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,