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In: Statistics and Probability

Kumar Sports wants to determine the number of Adult and school footballs to produce in order...

Kumar Sports wants to determine the number of Adult and school footballs to produce in order to maximize profit over the next planning horizon. Constraints affecting the production are the production capacities in three departments: Cutting and Dyeing; sewing; and inspection and packaging. For the planning period 340 hours of cutting and dyeing time, 420 hours of sewing time, and 200 hours of inspection and packaging time are available. The amount of resources each football type requires is given below
Departments   Adult   School
Cutting and Dyeing   12 minutes   6 minutes
Sewing   9 minutes   15 minutes
Inspection and Packaging   6 minutes   6 minutes

Adult footballs provide a profit of $5 per unit and School footballs provide a profit of $4 per unit. Clearly specify the decision variables, and then formulate this problem as an LPP but do not solve!

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