5. ( 10 points) Consider the following process flow diagram: a) Machine 1a 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. 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