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posted:
10/30/2011
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Selling refrigerators at Freezco



Inputs

Probabilities of failure in:

Second year Third year

First year

0.03 0.05 0.07



Sales per year 10000

Replacement cost$500



Simulation of a single refrigerator

Random Number

Survives first year? 0

Survives second year (assuming0it survives first)?

0

Survives third year (assuming it survives second)?



Replace during warranty for 3-year warranty?

Replace during warranty for 2-year warranty?



Summary measures from Crystal Ball (1000 iterations, Seed = 999)

3

Warranty period years 2 years

Mean percentage of refrigerators replaced=







Confidence interval for 3-year warranty (mean - 1.96*standard error, mean + 1.96*standard error)

Number of iternations

ndard deviation obtained

Lower limit

Upper Limit

Estimated number of trials required to achieve UCL-LCL=0.01

Using precision control feature in Crystal Ball, about 18000 trials were needed to achieve a 95% confidence level with



Sumary measures from Crystal Ball (+- 0.005 precision with 95% confidence)

3

Warranty period years 2 years

Mean percentage of refrigerators replaced=



Cost analysis

3

Warranty period years 2 years

Yearly replacement cost



Difference

ndard error)









hieve a 95% confidence level with a precision of +- 0.005 (i.e., 0.01/2)

Selling refrigerators at Freezco



Inputs

Probabilities of failure in:

Second year Third year

First year

0.03 0.05 0.07



Sales per year 10000

Replacement cost $500



Simulation of a single refrigerator

Random Number

Survives first year? 0 0

Survives second year (assuming it survives first year)? 0 0

Survives third year (assuming it survives first and second years)? 0 0



Replace during warranty for 3-year warranty? 1

Replace during warranty for 2-year warranty? 1



Summary measures from Crystal Ball (1000 iterations, Seed = 999)

Warranty period 3 years 2 years

Mean percentage of refrigerators replaced= 13.00% 7.00%







Confidence interval for 3-year warranty (mean - 1.96*standard error, mean + 1.96*standard error)

Number of iternations 1000

standard deviation obtained 0.33

Lower limit 10.95%

Upper Limit 15.05%

UCL-LCL=0.01

Estimated number of trials required to achieve16734

Using precision control feature in Crystal Ball, about 20,000 trials were needed to achieve a 95% confidence level with

This will vary by computer



Sumary measures from Crystal Ball (+- 0.005 precision with 95% confidence, 20000 replications)

Warranty period 3 years 2 years

Mean percentage of refrigerators replaced= 14.00% 8.00%



Cost analysis

Warranty period 3 years 2 years

Yearly replacement cost $700,000 $400,000



Difference $300,000

% confidence level with a precision of +- 0.005 (i.e., 0.01/2)



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