5-16. A consumer electronics store stocks four alarm clock radios. If it has fewer than four clock radios available at the end of a week, the store restocks the item to bring the in-stock level up to four. If weekly demand is greater than the four units in stock, the store loses sales. The radio sells for $25 and costs the store $15. The manager estimates that the probability distribution of weekly demand for the radio is as follows: Weekly Demand Probability 0.05 0.05 2 0.10 0.20 1.

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter17: Making Decisions With Uncertainty
Section: Chapter Questions
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5-16. A consumer electronics store stocks four alarm clock radios. If it has fewer than four clock
radios available at the end of a week, the store restocks the item to bring the in-stock level up to
four. If weekly demand is greater than the four units in stock, the store loses sales. The radio sells
for $25 and costs the store $15. The manager estimates that the probability distribution of weekly
demand for the radio is as follows:
Weekly Demand
Probability
0.05
1
0.05
2
0.10
0.20
4
0.40
0.10
6.
0.05
0.05
a. What is the expected weekly demand for the alarm clock radio?
b. What is the probability that weekly demand will be greater than the number of available
radios?
c. What is the expected weekly profit from the sale of the alarm clock radio? (Remember:
There are only four clock radios available in any week to meet demand.)
d. On average, how much profit is lost each week because the radio is not available when
demanded?
Transcribed Image Text:5-16. A consumer electronics store stocks four alarm clock radios. If it has fewer than four clock radios available at the end of a week, the store restocks the item to bring the in-stock level up to four. If weekly demand is greater than the four units in stock, the store loses sales. The radio sells for $25 and costs the store $15. The manager estimates that the probability distribution of weekly demand for the radio is as follows: Weekly Demand Probability 0.05 1 0.05 2 0.10 0.20 4 0.40 0.10 6. 0.05 0.05 a. What is the expected weekly demand for the alarm clock radio? b. What is the probability that weekly demand will be greater than the number of available radios? c. What is the expected weekly profit from the sale of the alarm clock radio? (Remember: There are only four clock radios available in any week to meet demand.) d. On average, how much profit is lost each week because the radio is not available when demanded?
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