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 1a 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 16 hours 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?