Hilliard Electronics produces specially coded computer chips for laser surgery in 64MB, 256MB, and 512MB sizes. (1MB means that the chip holds 1 million bytes of information.) To produce a 64MB chip requires 8 hours of labor, a 256MB chip takes 13 hours, and a 512MB chip requires 16 hours.
Hilliard's monthly production capacity is 1,200 hours. Mr. Blank, the firm's sales manager, estimates that the maximum monthly sales of the 64MB, 256MB, and 512MB chips are 40, 50, and 60, respectively. The company has the following goals (ranked in order from most important to least important):
1. Fill an order from the best customer for thirty 64MB chips and thirty-five 256MB chips.
2. Provide sufficient chips to at least equal the sales estimates set by Mr. Blank.
3. Avoid underutilization of the production capacity.
Formulate this problem using goal programming.