Problem 20-36 (Algo) Palin's Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to manage inventory of this standard muffler. Use the information in the following table to determine the optimal inventory target level (or order-up-to level). Annual demand 2,500 mufflers Ordering cost Service probability Lead time Working days $ 95 per order Standard deviation of daily demand mufflers per working day per muffler TAX of item value working days 79 % Item cost Annual holding cost Review period $38.00 working days 33 250 per year 17 a. What is the optimal target level (order-up-to level)? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to the nearest whole number.) Optimal target level

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Problem 20-36 (Algo)
Palin's Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to
manage inventory of this standard muffler. Use the information in the following table to determine the optimal inventory target level (or
order-up-to level).
Annual demand
2,500
mufflers
Ordering cost
Service probability
$ 95
79 %
per order
Standard deviation of daily demand
mufflers per working day
per muffler
TAX of item value
working days
Item cost
$38.00
Lead time
working days
Annual holding cost
Review period
33
Working days
250
per year
17
a. What is the optimal target level (order-up-to level)? (Use Excel's NORMSINV() function to find the correct critical value for the
given a-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to the nearest whole
number.)
Optimal target level
b. If the service probability requirement is 94 percent, the optimal target level will:
O Increase
O Decrease
O Stay the same
Transcribed Image Text:Problem 20-36 (Algo) Palin's Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to manage inventory of this standard muffler. Use the information in the following table to determine the optimal inventory target level (or order-up-to level). Annual demand 2,500 mufflers Ordering cost Service probability $ 95 79 % per order Standard deviation of daily demand mufflers per working day per muffler TAX of item value working days Item cost $38.00 Lead time working days Annual holding cost Review period 33 Working days 250 per year 17 a. What is the optimal target level (order-up-to level)? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to the nearest whole number.) Optimal target level b. If the service probability requirement is 94 percent, the optimal target level will: O Increase O Decrease O Stay the same
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