A precision components, Perfect can be manufactured using any one of the three machines available. The production rate, reject rate, and operating cost for each machine is different. A machine cannot be operated for more than four hours because it loses the tolerance required to manufacture Perfect. Since there is only one skilled operator, the machines must be operated sequentially. The demand for Perfect is at least 2000 units for the eight hour shift. The reject rate should not exceed two percent. Taken together the three machines must operate for eight hours. The data for the three machines are shown in Table 2.1. Table 2.1 Data for the three machines Machine 1 Machine 2 Machine 3 Production Rate, Units/hour 300 200 350 Reject Rate, percent 2% 1% 4%

b) A precision components, Perfect can be manufactured using any one of the three machines available. The production rate, reject rate, and operating cost for each machine is different. A machine cannot be operated for more than four hours because it loses the tolerance required to manufacture Perfect. Since there is only one skilled operator, the machines must be operated sequentially. The demand for Perfect is at least 2000 units for the eight hour shift. The reject rate should not exceed two percent. Taken together the three machines must operate for eight hours. The data for the three machines are shown in Table 2.1. Table 2. 1 Data for the three machines Formulate the problem to obtain the solution to the following questions: If the objective is to minimize the total operating costs, how many hours should each machine be operated during the eight-hour shift?, what is the daily production rate and the total operating cost? [10]