Questions I. Egress management believes that a normal distribution is a reasonable model for the unknown demand in the coming year.What mean and standard deviation should Egress use for the demand distribution? 2. Use a spreadsheet model to simulate 1000 possible outcomes for demand in the coming year. Based on these scenarios, what is the expected profit if Egress produces Q = 7800 ski jackets? What is the expected profit if Egress produces Q = 12,000 ski jackets? What is the standard deviation of profit in these two cases? 3. Based on the same 1000 scenarios, how many ski jackets should Egress produce to maximize expected profit? Call this quantity Q. 4. Should Q equal mean demand or not? Explain. 5. Create a histogram of profit at the production level Q. Create a histogram of profit when the production level Q equals mean demand. What is the probability of a loss greater than $100,000 in each case?

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Hello,I want you to solve the 2nd and 3rd items of the problem I shared as a photo.
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CASE
15.1 SKI JACKET PRODUCTION
gress, Inc., is a small company that designs,
-produces, and sells ski jackets and other coats.
The creative design team has labored for weeks over
Table 15.3 Monetary Values
Variable production cost per unit (C):
Selling price per unit (S):
Salvage value per unit (V):
Fixed production cost (F):
$80
$100
$30
$100,000
its new design for the coming winter season. It is
now time to decide how many ski jackets to produce
in this production run. Because of the lead times
involved, no other production runs will be possible
during the season. Predicting ski jacket sales months
in advance of the selling season can be quite tricky.
Egress has been in operation for only three years,
and its ski jacket designs were quite successful in
two of those years. Based on realized sales from the
last three years, current economic conditions, and
professional judgment, 12 Egress employees have
independently estimated demand for their new design
for the upcoming season. Their estimates are listed in
and equipment is F. This cost is incurred regardless of
the size of the production run.
Questions
1. Egress management believes that a normal
distribution is a reasonable model for the
unknown demand in the coming year. What mean
and standard deviation should Egress use for the
demand distribution?
Table 15.2.
2. Use a spreadsheet model to simulate 1000
possible outcomes for demand in the coming
year. Based on these scenarios, what is the
expected profit if Egress produces Q = 7800 ski
jackets? What is the expected profit if Egress
produces Q = 12,000 ski jackets? What is the
standard deviation of profit in these two cases?
Table 15.2
Estimated Demands
14,000
13,000
14,000
14,000
15,500
16,000
8000
5000
11,000
8000
15,000
3. Based on the same 1000 scenarios, how many
ski jackets should Egress produce to maximize
expected profit? Call this quantity Q.
10,500
4. Should Q equal mean demand or not? Explain.
To assist in the decision on the number of units
for the production run, management has gathered
the data in Table 15.3. Note that S is the price
Egress charges retailers. Any ski jackets that do
not sell during the season can be sold by Egress to
discounters for V per jacket. The fixed cost of plant
5. Create a histogram of profit at the production
level Q. Create a histogram of profit when the
production level Q equals mean demand. What is
the probability of a loss greater than $100,000 in
each case?
OCengage Learning
©Cengage Learning
Transcribed Image Text:CASE 15.1 SKI JACKET PRODUCTION gress, Inc., is a small company that designs, -produces, and sells ski jackets and other coats. The creative design team has labored for weeks over Table 15.3 Monetary Values Variable production cost per unit (C): Selling price per unit (S): Salvage value per unit (V): Fixed production cost (F): $80 $100 $30 $100,000 its new design for the coming winter season. It is now time to decide how many ski jackets to produce in this production run. Because of the lead times involved, no other production runs will be possible during the season. Predicting ski jacket sales months in advance of the selling season can be quite tricky. Egress has been in operation for only three years, and its ski jacket designs were quite successful in two of those years. Based on realized sales from the last three years, current economic conditions, and professional judgment, 12 Egress employees have independently estimated demand for their new design for the upcoming season. Their estimates are listed in and equipment is F. This cost is incurred regardless of the size of the production run. Questions 1. Egress management believes that a normal distribution is a reasonable model for the unknown demand in the coming year. What mean and standard deviation should Egress use for the demand distribution? Table 15.2. 2. Use a spreadsheet model to simulate 1000 possible outcomes for demand in the coming year. Based on these scenarios, what is the expected profit if Egress produces Q = 7800 ski jackets? What is the expected profit if Egress produces Q = 12,000 ski jackets? What is the standard deviation of profit in these two cases? Table 15.2 Estimated Demands 14,000 13,000 14,000 14,000 15,500 16,000 8000 5000 11,000 8000 15,000 3. Based on the same 1000 scenarios, how many ski jackets should Egress produce to maximize expected profit? Call this quantity Q. 10,500 4. Should Q equal mean demand or not? Explain. To assist in the decision on the number of units for the production run, management has gathered the data in Table 15.3. Note that S is the price Egress charges retailers. Any ski jackets that do not sell during the season can be sold by Egress to discounters for V per jacket. The fixed cost of plant 5. Create a histogram of profit at the production level Q. Create a histogram of profit when the production level Q equals mean demand. What is the probability of a loss greater than $100,000 in each case? OCengage Learning ©Cengage Learning
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