Consider the following process. The processing time (sec/unit) is given for each worker. M1 40 sec A M2 120 sec a) Calculate the following design parameters for this process: Designed CT for Stage 1 M3 140 sec sec/unit Designed CT for Stage 2 sec/unit Bottleneck Stage: Process Designed CT sec/unit Process Capacity units/hour b) Customers arrive at this process in the following way: Every 240 secs two customers arrives at BU 1 M1 starting from time 0 and every 240 secs one customer arrives starting from time 100. Once a customer arrives at stage 2, if both servers are empty, the customer is served at the server with lower processing time. Fill in the below Gantt chart. Each grid in the following chart represents 20 sec. You can extend the below chart as needed. M1 BU2 M2 MI c) Under the arrival schedule given in (b), calculate the following run-time parameters: Demand Rate Flow Rate Actual Cycle Time WIP for Buffer 1 WIP for M1 units/hour units/hour. sec/unit units units WIP for Buffer 2 units WIP for M2 units WIP for M3 Total WIP units units Flow time secs d) Use the total WIP and the flow time calculated in (c), then apply the Little's formula to get the flow rate and the actual CT. Specifically, show that a. The flow rate calculated using the Little's law is the same as the flow rate calculated in (c) using the Gantt chart. b. The actual CT calculated using the Little's law is the same as the actual CT calculated in (c) using the Gantt chart.