An item has normally distributed demand with mean 100 and standard deviation of 50. They order week with one week lead time. Backorders are allowed. A) With an order-up-to level of 300, on-hand inventory of 200 and on-order inventory of 60, how much will be ordered this week? B) What is the standard deviation of demand over 2 weeks? C) If it uses 306 as its order-up-to level, what is its expected on-hand inventory? D) Using part C data, what is nits expected on-order inventory? E) If it uses 278 as its order-up-to level, what is its in-stock probability? F) If it uses 334 as its order-up-to level, what is its stockout probability? G) If it wants in-stock probability of 0.998, what order-up-to level should it use?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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An item has normally distributed demand with mean 100 and standard deviation of 50. They order week with one week lead time. Backorders are allowed.

A) With an order-up-to level of 300, on-hand inventory of 200 and on-order inventory of 60, how much will be ordered this week?

B) What is the standard deviation of demand over 2 weeks?

C) If it uses 306 as its order-up-to level, what is its expected on-hand inventory?

D) Using part C data, what is nits expected on-order inventory?

E) If it uses 278 as its order-up-to level, what is its in-stock probability?

F) If it uses 334 as its order-up-to level, what is its stockout probability?

G) If it wants in-stock probability of 0.998, what order-up-to level should it use?

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