A manager is applying the transportation model of linear programming to solve an aggregate planning problem. Demand in period 1 is 100 units, and in period 2, demand is 150 units. The manager has 125 hours of regular employment available for $10/hour each period. In addition, 50 hours of overtime are available for $15/hour each period. If holding costs are $2 per unit each period, how many hours of regular employment should be used in period 1? (Assume demand must be met in both periods 1 and 2 for the lowest possible cost and that production is 1 unit per hour.)

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Aggregate scheduling is a part of aggregate planning, which is the process of creating an approximate schedule for how an organization will operate over a period of time, typically 3–18 months. Aggregate planning covers all production activities at a facility, not just individual production runs or the manufacture of individual products. The goal of aggregate planning is to help a business fulfill forecasted demand at minimal cost.  Aggregate planning helps management decide when and how much to procure materials and other resources. It also helps determine: Outsourcing, Subcontracting,... Show more

A manager is applying the transportation model of linear programming to solve an aggregate planning problem. Demand in period 1 is 100 units, and in period 2, demand is 150 units. The manager has 125 hours of regular employment available for $10/hour each period. In addition, 50 hours of overtime are available for $15/hour each period. If holding costs are $2 per unit each period, how many hours of regular employment should be used in period 1? (Assume demand must be met in both periods 1 and 2 for the lowest possible cost and that production is 1 unit per hour.)