Question: A glass blower makes 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 labour, a glass tray requires 1 hour of labour, and a 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?