In: Statistics and Probability
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!