An athletic footwear company would like to supply 2000 pairs of sneakers in one week. The regular time capacity of the company’s factory is 2500 sneakers a week and the overtime capacity is 300 sneakers a week. Sneakers may also be purchased from subcontractors. The cost of producing one pair of sneakers is $25 in regular time, $28 in overtime and $35 if subcontracted.
Define the decision variables and develop an objective function that minimizes total cost. Develop constraints for the capacity conditions.