Introduction to Management Science 12th Edition by Bernard Taylor

Exercise 16

A glassblower makes glass decanters and glass trays on a weekly basis. Each item requires 1 pound of glass, and the glassblower has 15 pounds of glass available each week. A glass decanter requires 4 hours of labor, a glass tray requires only 1 hour of labor, and the glassblower works 25 hours a week. The profit from a decanter is $50, and the profit from a tray is $10. The glassblower wants to determine the total number of decanters 1 x 12 and trays 1 x 22 that he needs to produce in order to maximize his profit.
a. Formulate an integer programming model for this problem.
b. Solve this model by using the computer.