ISE 422: Facility Layout and Location Term 212 Dr. Ismail Almaraj HW#1 (Due February 169.2022) Problem (1): Steel making manufacturer produces two types of parts Pl and P2 to meet the daily demand of 12,000 units. The process flow chart is provided below where Rl and R2 represent rework operations. In assembly station (M3), 2 units of Pl and 3 units of P2 are required to assemble one final unit. The defect rates for MI, M2, M3, and M4 are given as 6%, 4.5%,3%, and 2%, respectively. The reworking defect rates for R1 and R2 are assumed to be random variables and normally distributed with dri-N(7%,0.5) and duz-N(5% 0.25 1. What are the requi... meet the day demand for the completed product? PI MI RI M3 R2 M4 M2 b. What is the total cost if the scrap costs incurred at each machine and rework operation are S10, and S15, respectively, and the production cost per unit is $252 Problem (2): Given the information in problem (1) and the information in the table below Operation Standard time Efficiency Reliability 97% 95% 12 95% 90% 2 105% 4 1009 10 95% M4 3 959 MI R1 M2 M3 R2 95% 90% 85% 95% Assume operations MI, M2, M3, and M4 run for 16 hours per day, five days per week. RI. and R2 are available for 8 hours per day, five days per week 4. How many machines are needed to perform cach operation? b. Considering the modifications provided in the table below, calculate the optimum number of identical machines for each operation to assign an operator