The annual demand for a product is 15,600 units. The weekly demand is 300 units with a standard deviation of 90 units. The cost to place an order is $31.20, and the time from ordering to receipt is four weeks. The annual inventory carrying cost is $0.10 per unit. a. Find the reorder point necessary to provide a 98 percent service probability. (Use Excel's NORMSINV() function to find the z value. Do not round intermediate calculations. Round z value to 2 decimal places and final answer to the nearest whole number.) Reorder point units b. Suppose the production manager is asked to reduce the safety stock of this item by 50 percent. If she does so, what will the new service probability be? (Use Excel's NORMSDIST() function to find the correct probability for your computed Z-value. Round "z" value to 2 decimal places and final answer to 1 decimal place.) Service probability %

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The annual demand for a product is 15,600 units. The weekly demand is 300 units with a standard deviation of 90 units. The cost to
place an order is $31.20, and the time from ordering to receipt is four weeks. The annual inventory carrying cost is $0.10 per unit.
a. Find the reorder point necessary to provide a 98 percent service probability. (Use Excel's NORMSINV() function to find the z value.
Do not round intermediate calculations. Round z value to 2 decimal places and final answer to the nearest whole number.)
Reorder point
units
b. Suppose the production manager is asked to reduce the safety stock of this item by 50 percent. If she does so, what will the new
service probability be? (Use Excel's NORMSDIST() function to find the correct probability for your computed Z-value. Round "z"
value to 2 decimal places and final answer to 1 decimal place.)
Service probability
%
Transcribed Image Text:The annual demand for a product is 15,600 units. The weekly demand is 300 units with a standard deviation of 90 units. The cost to place an order is $31.20, and the time from ordering to receipt is four weeks. The annual inventory carrying cost is $0.10 per unit. a. Find the reorder point necessary to provide a 98 percent service probability. (Use Excel's NORMSINV() function to find the z value. Do not round intermediate calculations. Round z value to 2 decimal places and final answer to the nearest whole number.) Reorder point units b. Suppose the production manager is asked to reduce the safety stock of this item by 50 percent. If she does so, what will the new service probability be? (Use Excel's NORMSDIST() function to find the correct probability for your computed Z-value. Round "z" value to 2 decimal places and final answer to 1 decimal place.) Service probability %
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