Borhands is a company which produces gloves for the entire family-men, women, and children. They are trying to decide what mix of these three types of gloves to produce. Borhands’ manufacturing labor force is unionized. Each full-time employee works exactly 48 hours per week. In addition, by union contract, the number of full-time workers can never drop below 25. Nonunion part time workers can also be hired with the following union imposed restrictions: 1) each part time worker works exactly 20 hours per week, and 2) there must be at least 2 full-time employees for each part time employee. All three types of gloves are made out of the same (100 percent) genuine cowhide leather. Borhands has a long-term contract with a supplier of the leather, and receives a 5000 square meter shipment of the material each week. The material requirements and labor requirements, along with the gross profit per glove sold is given in the following table:
Each full-time employee earns $13 per hour, while each part time employee earns $10 per hour. Construct a linear model to maximize Borhands’ net profit.
