2. Models of inventory systems frequently consider the relationships among opening stock, production quantity, demand or sales, and closing stock. For a given production period j, let Sj – 1 = closing stock from the previous period Xj = production quantity in period Dj = demand in period j Sj = closing stock for period j

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2. Models of inventory systems frequently consider the relationships among opening
stock, production quantity, demand or sales, and closing stock. For a given
production period j, let Sj – 1 = closing stock from the previous period
Xj = production quantity in period
Dj = demand in period j
Sj = closing stock for period j
Required
a) Write the mathematical relationship or model that describes how these four
variables are related.
b) What constraint should be added to produce capacity for period j is given by
cj?

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