A barbershop has the following demand for haircuts on Saturday, which is its busiest day of the week. Number of Haircuts                                  Probability20                                                                 .125                                                                  .330                                                                  .435                                                                   .140                                                                     .1a. What is the average demand for haircuts on Saturday?b. If the capacity is 35 haircuts, what is the average utilization of the shop?c. If capacity is 35 haircuts, how much of a capacity cushion does it have?d. If it costs $50 per lost haircut due to customer dissatisfactionand $100 for each unit of capacityprovided, how much capacity should be built tominimizecosts?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A barbershop has the following demand for haircuts on Saturday, which is its busiest day of the week.

Number of Haircuts                                  Probability
20                                                                 .1
25                                                                  .3
30                                                                  .4
35                                                                   .1
40                                                                     .1
a. What is the average demand for haircuts on Saturday?
b. If the capacity is 35 haircuts, what is the average utilization of the shop?
c. If capacity is 35 haircuts, how much of a capacity cushion does it have?
d. If it costs $50 per lost haircut due to customer dissatisfaction
and $100 for each unit of capacity
provided, how much capacity should be built to
minimize
costs?

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 If it costs $50 per lost haircut due to customer dissatisfaction and $100 for each unit of capacity provided, how much capacity should be built to minimize costs?

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