Answer the following questions. a) What is the cost of overage per pound? b) What is the cost of underage per pound? c) What is the optimal order quantity?

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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1. A local producer of vegetables is deciding how much inventory to have to meet the next week's
demand. Vegetable products are perishable with a shelf-life of a week.
Based on the historical observations, the company expects the weekly demand to follow a normal
distribution with mean 4500 pounds and standard deviation of 400 pounds.
The price of the product is $14 per pound in the store, and it costs $6 to produce. If there are any
leftovers, the company is required to dispose them safely to avoid any pollution. This process
costs $0.5 per pound.
Answer the following questions.
a) What is the cost of overage per pound?
b) What is the cost of underage per pound?
c) What is the optimal order quantity?
Transcribed Image Text:1. A local producer of vegetables is deciding how much inventory to have to meet the next week's demand. Vegetable products are perishable with a shelf-life of a week. Based on the historical observations, the company expects the weekly demand to follow a normal distribution with mean 4500 pounds and standard deviation of 400 pounds. The price of the product is $14 per pound in the store, and it costs $6 to produce. If there are any leftovers, the company is required to dispose them safely to avoid any pollution. This process costs $0.5 per pound. Answer the following questions. a) What is the cost of overage per pound? b) What is the cost of underage per pound? c) What is the optimal order quantity?
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