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). mufflers mufflers per working day per muffler % of item value working days Annual demand 3,750 $ 60 Ordering cost Service probability per order Standard deviation of daily demand 6 92 % Item cost $39.00 Lead time working days Annual holding cost Review period 31 Working days 250 per year 20 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

Purchasing and Supply Chain Management
6th Edition
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Chapter16: Lean Supply Chain Management
Section: Chapter Questions
Problem 10DQ: The chapter presented various approaches for the control of inventory investment. Discuss three...
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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).
Ordering cost
Service probability
Annual demand
3,750
mufflers
$ 60
92 %
per order
mufflers per working day
per muffler
% of item value
working days
Standard deviation of daily demand
Item cost
$39.00
working days
per year
Lead time
3
Working days
Annual holding cost
Review period
31
250
20
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 92 percent, the optimal target level will:
O Stay the same
Decrease
O Increase
Transcribed Image Text: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). Ordering cost Service probability Annual demand 3,750 mufflers $ 60 92 % per order mufflers per working day per muffler % of item value working days Standard deviation of daily demand Item cost $39.00 working days per year Lead time 3 Working days Annual holding cost Review period 31 250 20 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 92 percent, the optimal target level will: O Stay the same Decrease O Increase
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