1. A glass blower makes glass decanters and glass trays on a weekly basis. Work in progress cannot be carried over from week to week. Each item requires 1 pound of glass, and the glass blower 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 glass blower works 25 hours a week. The profit from a decanter is $50, and the profit from a tray is $10.
a. Find the optimal production schedule for this situation.
b. If the glass blower received an order for 5 trays that she could not refuse, what would be the optimal production schedule?
c. What would be the penalty for this additional constraint?