Sandy Edge is president of Edge File Works, a firm that manufactures two types of metal file cabinets. The demand for the two-drawer model is 650 cabinets per week; demand for the three- drawer cabinet is 400 per week. Edge has a weekly operating capacity of 1,600 hours, with the two- drawer cabinet taking 1.5 hours to produce and the three-drawer cabinet requiring 2 hours. Each two-drawer model sold yields a $12 profit, and the profit for the three-drawer model is $14. Edge has listed the following goals, in rank order:
Rank 1: Attain a profit as close to $12,000 as possible each week.
Rank 2: Avoid underutilization of the firm’s production capacity.
Rank 3: Sell as many two- and three-drawer cabinets as the demand indicates.
Set up and solve this problem as a goal programming model.