The Great Threads Company is capable of manufacturing shirts, shorts, pants, skirts, and jackets. Each type of clothing requires that Great Threads have the appropriate type of machinery available....

The Great Threads Company is capable of manufacturing shirts, shorts, pants, skirts, and jackets. Each type of clothing requires that Great Threads have the appropriate type of machinery available. The machinery needed to manufacture each type of clothing must be rented at the weekly rates shown in Table 6.3. This table also lists the amounts of cloth and labor required per unit of clothing, as well as the sales price and the unit variable cost for each type of clothing. In a given week, 4000 labor hours and 4500 square yards (sq yd) of cloth are available. The company wants to find a solution that maximizes its weekly profit.

Objective To develop a linear model with binary variables that can be used to maximize the company’s profit, correctly accounting for fixed costs and staying within resource availabilities.