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This model is a production planning model where multiple products compete for scarce capacity in multiple periods at one facility. Each product has a setup time, production time per unit, setup cost, production cost per unit, and holding cost per unit per period. Each product in each period has a demand. The question is how much of each product should we produce in each period, so as to minimize costs of setups, production, and inventory. At the same time, we want to meet demand each period for each product without exceeding production capacity each period.