Practical Management Science, Loose-leaf Version
Practical Management Science, Loose-leaf Version
5th Edition
ISBN: 9781305631540
Author: WINSTON, Wayne L.; Albright, S. Christian
Publisher: Cengage Learning
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Chapter 12, Problem 31P
Summary Introduction

To determine: The optimal order quantity and the number of orders placed every year.

Inventory and supply chain models:

The functions of inventory and supply chain are one of the most important business decision areas for an organization. The first important aspect of these concepts is to have adequate inventory on hand. The second important aspect is to carry a little amount of inventory as possible.

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a supermarket expects to sell 1000 boxes of sugar in a year. each box costs $2 and there is a fixed delivery charge of $20 per order. if it costs $1 to store a box for a year, what is the order size and how many times a year should orders be placed to minimize inventory costs?
A food processor purchases corn for use in its products. The firm uses 700 pounds of corn per week and purchases corn for $0.45 per pound from a supplier. The cost to hold one pound of corn in inventory for one year is $0.09. Each time the firm orders corn from the supplier, the firm must pay a $48 order processing charge. Assume there are 52 weeks in a year and round your answer to the nearest integer value. What is the optimal order quantity (in pounds)? pounds
Models of inventory systems frequently consider the relationships among a beginning inventory,a production quantity, a demand or sales, and an ending inventory. For a givenproduction period j, letsj-1 = ending inventory from the previous period (beginning inventory for period j)xj = production quantity in period jdj = demand in period jsj = ending inventory for period ja. Write the mathematical relationship or model that shows ending inventory as a functionof beginning inventory, production, and demand.b. What constraint should be added if production capacity for period j is given by Cj?c. What constraint should be added if inventory requirements for period j mandate anending inventory of at least Ij?
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