Anvils Works’ requires, on average, 2800 tons of aluminum each week, with a standarddeviation of 1000 tons. The lead time to receive its orders is 10 weeks. The holdingcost for one ton of aluminum for one week is $11. It operates with a 0.98 in-stockprobability.a. On average, how many tons does it have on order?b. On average, how many tons does it have on hand?c. If its average inventory was 5000 tons, what would be its average holding cost perweek?d. If its average inventory was 10,000 tons, what would be its average holding cost perton of aluminum?e. Suppose its on-hand inventory is 4975 tons, on average. What in-stock probabilitydoes it offer to its customers?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Anvils Works’ requires, on average, 2800 tons of aluminum each week, with a standard
deviation of 1000 tons. The lead time to receive its orders is 10 weeks. The holding
cost for one ton of aluminum for one week is $11. It operates with a 0.98 in-stock
probability.
a. On average, how many tons does it have on order?
b. On average, how many tons does it have on hand?
c. If its average inventory was 5000 tons, what would be its average holding cost per
week?
d. If its average inventory was 10,000 tons, what would be its average holding cost per
ton of aluminum?
e. Suppose its on-hand inventory is 4975 tons, on average. What in-stock probability
does it offer to its customers?

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