Factory Planning 1: What to Make, On What Machines, and When

Objective

The objective is to maximize the following function, where StorageCost is a linear function of Store:

\[ \Variable{TotalProfit} = \sum _{\text {product} \in \text {PRODUCTS}} \sum _{\text {period} \in \text {PERIODS}} \Argument{profit[product]}\ \Variable{Sell[product,period]} - \Variable{StorageCost} \]