17. 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 * 2, d, beginning inventory for period j (ending inventory from period j-1 production quantity in period j demand in period j 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 C, ? e. What constraint should be added if inventory requirements for period j mandate an ending inventory of at least 1;?

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Your Question:
17. 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
*
2,
d,
beginning inventory for period j (ending inventory from period j-1
production quantity in period j
demand in period j
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 C, ?
e. What constraint should be added if inventory requirements for
period j mandate an ending inventory of at least 1;?
Transcribed Image Text:17. 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 * 2, d, beginning inventory for period j (ending inventory from period j-1 production quantity in period j demand in period j 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 C, ? e. What constraint should be added if inventory requirements for period j mandate an ending inventory of at least 1;?
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