5. (10 points) Consider the following process flow diagram: 100 parts/hour 1a WIP 2 1b 70 parts/hour 55 parts/hour a) Machine la runs for the first shift, machine 1b runs for the first and second shifts, and machine 2 runs on all three shifts. Each shift is 8-hours. Machines la and 1b produce identical output. Draw an inventory build-up diagram for the WIP over a 24 hour period, starting with an empty system. Label all critical points. WIP hours 8 16 24 b). If there is only one shift for all the machines and there is no WIP inventory in between machine 1 and machine 2, what is the steady-state capacity for this entire process