PROBLEM 4: Consider a retail store which sells a perishable good with a life of only one period. At the beginning of each period, the store in anticipation of demand, order Q pounds from a supplier at a cost of $75/lb. The demand is uncertain, but based on historical data; it is normally distributed with mean of 350 and standard deviation of 50. The retail price of this item is $95/lb. In case the demand is less than Q, any unused amount has no salvage value. (a) Use marginal analysis to determine the optimum Q that a supplier should order every period.
PROBLEM 4: Consider a retail store which sells a perishable good with a life of only one period. At the beginning of each period, the store in anticipation of demand, order Q pounds from a supplier at a cost of $75/lb. The demand is uncertain, but based on historical data; it is normally distributed with mean of 350 and standard deviation of 50. The retail price of this item is $95/lb. In case the demand is less than Q, any unused amount has no salvage value. (a) Use marginal analysis to determine the optimum Q that a supplier should order every period.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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![PROBLEM 4:
Consider a retail store which sells a perishable good with a life
of only one period. At the beginning of each period, the store in
anticipation of demand, order Q pounds from a supplier at a cost
of $75/lb. The demand is uncertain, but based on historical data;
it is normally distributed with mean of 350 and standard
deviation of 50. The retail price of this item is $95/lb. In case the
demand is less than Q, any unused amount has no salvage value.
(a) Use marginal analysis to determine the optimum Q that a
supplier should order every period.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9afbc96-d0d9-4b86-808a-9418bca15df1%2Fb06c8e9b-08cf-4ccd-ad66-aa0646384e4a%2F80jlwsb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PROBLEM 4:
Consider a retail store which sells a perishable good with a life
of only one period. At the beginning of each period, the store in
anticipation of demand, order Q pounds from a supplier at a cost
of $75/lb. The demand is uncertain, but based on historical data;
it is normally distributed with mean of 350 and standard
deviation of 50. The retail price of this item is $95/lb. In case the
demand is less than Q, any unused amount has no salvage value.
(a) Use marginal analysis to determine the optimum Q that a
supplier should order every period.
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