Please write the steps that led you to your answer in detail. Clear and logical justification must be given for either full or partial credit. Q1. Given the setup time and time per unit provided in the below figure, calculate the capacity when the batch size is 10 or 30. Also, please indicate whether Adam or Bob is the bottleneck. (You may keep two decimals if the results not integers.) Task 1 (Adam) Task 2 (Bob) Setup time (mins): Time per unit (mins): 20 10 5 2 Capacity (in flow Batch size = 10 Batch size = 30 units per hour) Adam Bob Bottleneck(s) Q2. Consider a dental clinic with one receptionist, one hygienist, one dentist, and one assistant. When a patient arrives at the clinic, she/he is first checked in by the receptionist. Then, she/he is seen by the hygienist and the assistant. After that, she/he is seen by the dentist and the assistant. Finally, she/he is checked out by the receptionist. Below figure shows the process flow diagram and the table summarizes the tasks, resources, and task time. Patients Check-out Check in Cleaning Treatment (Receptionist) (Hygienist, Assistant) (Dentist, Assistant) Task Resources Task Time Check-in Receptionist 5min Cleaning Hygienist, Assistant 20min Treatment Dentist, Assistant 10min Check-out Receptionist 5min (Receptionist) (a) For each resource, calculate the cycle time and capacity by filling the below table. What is the process capacity? Resource Cycle Time Capacity Receptionist Hygienist Dentist Assistant (b) If the demand rate is 1 patient/hour, what's the flow rate? If the demand rate is 3 patients/hour, what's the flow rate? (c) If the demand rate is 3 patients/hour, what are the utilization and implied utilization? Please fill the below table (express in percentage). Resource Utilization Receptionist Hygienist Dentist Assistant Implied Utilization (d) Suppose the wages for the dentist, hygienist, assistant, and receptionist are $100/hour, $80/hour, $60/hour, and $30/hour, respectively. What is the cost of direct labor if the demand rate is 2 patients/hour? (e) Consider the scenario in which the clinic hires another assistant (i.e., there are two assistants). What is the process capacity? Who will become the bottleneck? What is the flow rate if the demand rate is 3 patients/hour? What is the cost of direct labor? Resource Receptionist Capacity Hygienist Dentist Assistant*2