Assuming that demand is constant, what should be the reorder quantity that minimises the total cost and what will be the corresponding annual cost, given that only full drums are supplied?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Each year, a company uses half a million Rials worth of a highly toxic
product costing $50 per drum. Orders costs OMR 4 each and there is
no limit on the storage capacity.
However the dangers of an explosion are such that the company's
insurers insist on higher premiums if the product is stocked in large
quantities. The effect of this is that the annual holding rate is only 4%
if the average stock does not exceed 20 drums but is 25% if the
average stock is greater than 40 drums and is 16% for average stocks
between these limits.
Assuming that demand is constant, what should be the reorder
quantity that minimises the total cost and what will be the
corresponding annual cost, given that only full drums are supplied?
Transcribed Image Text:Each year, a company uses half a million Rials worth of a highly toxic product costing $50 per drum. Orders costs OMR 4 each and there is no limit on the storage capacity. However the dangers of an explosion are such that the company's insurers insist on higher premiums if the product is stocked in large quantities. The effect of this is that the annual holding rate is only 4% if the average stock does not exceed 20 drums but is 25% if the average stock is greater than 40 drums and is 16% for average stocks between these limits. Assuming that demand is constant, what should be the reorder quantity that minimises the total cost and what will be the corresponding annual cost, given that only full drums are supplied?
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