Pomona Machine Shop (an aerospace supplier) primarily produces three parts A100, A101, and A102. Three different machines (M1, M2, and M3) are used for each of these parts. Part A100 routing is M1 M2 M3. Part A101 routing is M2 M3 M1. Part A103 routing is M3 M1 M2. The following information is available: Part A100 Standard Time Part A101 Standard Time Part A102 Standard Time Part A100 Defect Estimate Part A101 Defect Estimate Part A102 Defect Estimate Efficiency Reliability Equipment Availability Part # A100 A101 A102 M1 10 min 12 min 8 min 5% 5% 5% 80% 90% 2000 hrs/ year M2 15 min 8 min 10 min 4% 4% 4% 80% 90% 2000 hrs/ year M3 6 min 9 min 10 min 3% 3% 3% 80% 90% 2000 hrs/ year Demand/Year 100,000 80,000 120,000 How many machines of each type (M1. M2, and M3) will be needed by the Pomona Machine Shop for the above production activity?