Process Analysis Problem (20 points): Consider a two-task process for making plastic nameplates for Gies students. The process consists of Task 1: Molding, followed by Task 2: Polishing. - It takes 5 minutes to mold a nameplate at a Task 1 workstation, and 3 minutes to polish a nameplate at a Task 2 workstation. - There are 2 identical workstations for molding (i.e., 2 nameplates can be molded simultaneously) and 1 workstation for polishing. Please include the formula you use to show your work. 1. Calculate the HOURLY capacity rate of Task 1: Molding and Task 2: Polishing. (6 points) 2. Which is the bottleneck task in this nameplate-making process? Please indicate how you identified the bottleneck task. (4 points) 3. Assuming there is no waiting in the process, please calculate the throughput time in minutes for a nameplate to be completed through this process. (3 points) 4. The demand arrives at a rate of 15 nameplates per hour. Please first identify the flow rate of the process. Then calculate the inventory of nameplates that would be in the process based on the throughput time you obtained from the previous question (assuming not waiting). (7 points)