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 Standard deviation of daily demand Item cost Annual holding cost Review period 2,240 6 Optimal target level $35.00 20 28 mufflers mufflers per working day per muffler % of item value working days Ordering cost Service probability Lead time Working days $ 60 per order 89 % 2 working days 280 per year 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.)

Practical Management Science
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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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
standard deviation of daily demand
Item cost
Annual holding cost
Review period
2, 240
6
$35.00
20
28
Optimal target level
mufflers
mufflers per working day
per muffler
% of item value
working days
Ordering cost
Service probability
Lead time
Working days
$60
per order
89 %
2 working days
per year
280
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.)
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 standard deviation of daily demand Item cost Annual holding cost Review period 2, 240 6 $35.00 20 28 Optimal target level mufflers mufflers per working day per muffler % of item value working days Ordering cost Service probability Lead time Working days $60 per order 89 % 2 working days per year 280 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.)
b. If the service probability requirement is 90 percent, the optimal target level will:
O Increase
O Decrease
O Stay the same
Transcribed Image Text:b. If the service probability requirement is 90 percent, the optimal target level will: O Increase O Decrease O Stay the same
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