Question 1 Midland Cholates produces three brands of chocolates, X, Y, and Z that require processing on machines A, B, and C. The standard time in minutes, defect rates, rework rates, efficiency and reliability for machines A, B, and C are given respectively below. The company operates 6 days per week, 10 hours per day and experiences 30 minutes downtime per day. How many machines of each type are A, B, C, D are needed? Brand Production/Week Routing x 3000 A+B+CD Y 6000 B+A+C+D 3750 CAB+D Z Defect rate (%) X Y Machine Part Z Standard time (minutes) x Y Z 9 6 12 15 6 12 6 9 15 6 9 6 5 6 5 1 5 B C 4 4 4 3 D 12 4 4 Rework rate (%) Efficiency (%) Reliability (%) Machine X Y Z A 65 65 65 85 95 B 70 70 70 90 90 C 75 75 75 90 95 D 80 80 80 95 85 Note: Rework rate = defect rate; therefore, do not subtracted it from 1