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 given production period j, let sj-1 = ending inventory from the previous period (beginning inventory for period j) xj = production quantity in period j dj = demand in period j sj = ending inventory for period j a. Write the mathematical relationship or model that shows ending inventory as a function of 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 an ending inventory of at least Ij?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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 given
production period j, let
sj-1 = ending inventory from the previous period (beginning inventory for period j)
xj = production quantity in period j
dj = demand in period j
sj = ending inventory for period j

a. Write the mathematical relationship or model that shows ending inventory as a function
of 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 an
ending inventory of at least Ij?

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