After graduation from METU you will start working as an operations manager at an electronics manufacturer that faces assembly-line balancing problems. You have been told that the firm needs to complete 4,200 units per month. Assume that there are 20 working days in one month and there are 8 working hours in a day however every working day the line has to stop 1 hour during lunch time. Task Length (minutes) Immediate Predecessor a 0.2 b 0.4 0.3 1.3 C d e f g h 0.1 0.8 0.3 1.2 a - b, c e d, f g a. Find the cycle time. b. Draw a diagram that shows precedence relationships of the tasks. c. Find the theoretical minimum number of workstations. d. Assign tasks to workstations using the Ranked Positional Weight Algorithm. e. Evaluate the optimality of the solution you found in part d in terms of number of workstations.