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Managerial Decision Modeling
Exam 10: Simulation Modeling
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Question 41
Essay
Use this information to answer the following questions. A supermarket stocks 150 apple pies each week.Weekly demand for apple pies ranges between 90 and 160 pies,all occurring with equal probability.Each unsold pie incurs an inventory carrying cost of $2.00.Unmet demand costs the supermarket $4.00 per pie. -Refer to the information above.Suppose that the manager wishes to examine the effect of different stocking levels on the average weekly total costs.In specific,the manager wishes to consider stocking levels of 90 pies,110 pies,130 pies,and 150 pies.Use Crystal Ball's Decision Table to find the stocking level that minimizes average weekly total costs.Use 1000 replications.
Question 42
Essay
Joe Smith is a handyman who owns his own plumbing business.In a typical month,the number of service calls that he gets varies according to the following distribution:
Number of Calls
15
16
17
18
19
Probability
0.3
0.3
0.2
0.1
0.1
\begin{array} { | l | c | c | c | c | c | } \hline \text { Number of Calls } & 15 & 16 & 17 & 18 & 19 \\\hline \text { Probability } & 0.3 & 0.3 & 0.2 & 0.1 & 0.1 \\\hline\end{array}
Number of Calls
Probability
15
0.3
16
0.3
17
0.2
18
0.1
19
0.1
His revenues per service call are normally distributed with a mean of $100 and a standard deviation of $20.His monthly expenses can range between a minimum of $1000 and a maximum of $1500,where all values between the minimum and maximum occur with equal likelihood. a.Use Crystal Ball to simulate Mr.Smith's monthly profits.Run 1000 replications of the model. b.What is the average monthly profit?
Question 43
Multiple Choice
The technique of randomly generating values for unknown elements in a model using random sampling is known as ________.
Question 44
Essay
Suppose that someone offers you a job at a casino in Las Vegas with the following two options: you can either earn $68.00 per night working behind a change counter,or you can serve cocktail drinks.If the latter is chosen,your earnings potential is based on the number of patrons frequenting the casino each night.You can make $100 in tips on a busy night,$75 in tips on a normal night,and $50 in tips on a slow night.The probabilities of a busy,normal,or slow night are,respectively,0.4,0.3,and 0.3. a.Which option maximizes your long-run average nightly earnings? Use Crystal Ball with 1000 replications. b.How would your answer change if you can earn $85 per night working behind a counter?
Question 45
Multiple Choice
Use this information and output to answer the following questions. Rentals-R-Us specializes in 4WD car rentals.The number of rentals per month typically ranges between 10 and 50.You may assume equal probability for the number of rentals to assume any value in that range.The monthly operating costs for Rentals-R-Us can range anywhere from $2,000 to $4,000,with $3,000 being the most probable cost.Each rented vehicle generates $55 in revenues.You decide to build a simulation model in Crystal Ball to simulate monthly profits.
A
B
1
Rentals-R-Us
2
Number of car rentals
50
3
Rental per car
$
55
4
Monthly operating costs
$
2
,
000
5
Profit or loss
$
750
\begin{array} { | l | l | c | } \hline & { \text { A } } & \text { B } \\\hline 1 & \text { Rentals-R-Us } & \\\hline 2 & \text { Number of car rentals } & 50 \\\hline 3 & \text { Rental per car } & \$ 55 \\\hline 4 & \text { Monthly operating costs } & \$ 2,000 \\\hline 5 & \text { Profit or loss } & \$ 750 \\\hline\end{array}
1
2
3
4
5
A
Rentals-R-Us
Number of car rentals
Rental per car
Monthly operating costs
Profit or loss
B
50
$55
$2
,
000
$750
-Refer to the table.What is the appropriate equation for cell B5?
Question 46
True/False
The uniform distribution can be discrete or continuous.
Question 47
Multiple Choice
A queuing system has an arrival rate of 5 customers per hour and a service rate of 8 customers per hour.You decide to build a simulation model to describe the service time per customer.The best appropriate distribution to use is: