Question: 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 1 hour of labor, and the glassblower works 25 hours a week. The profit from a decanter is $50, and a profit from a tray is $10. The glassblower wants to determine the total number of decanters (x1) and trays (x2) that he needs to produce in order to maximize his profit.

(a) Formulate an integer programming model for this problem.

(b) Solve this problem by using the computer