Q Note 1: Show all your work to get credit. Write your solutions clearly and neatly. Note 2: All your answers must be your original work. Cite your sources (if any) properly and include them in a references section at the end. Note 3: Questions 1 and 2 worth 15 points each and question 3 worth 20 points. Some Helpful YouTube Videos Capacity and Bottlenecks: https://www.youtube.com/watch?v=HZBfrgg1VXc Assembly Line Balancing: https://www.youtube.com/watch?v=IoLykKom8Po Question 1 Chapter 4: Food Goblin Supermarkets use both cashiers and baggers to serve customers at check out. During the peak hours, 6 cashiers and 4 baggers serve approximately 50 customers per hour. On average, a cashier spends 5 minutes at checkout and a bagger spends 4 minutes at bagging to serve a customer. a) Calculate the utilization of cashiers and utilization of baggers. b) Calculate the average weighted utilization of cashiers and baggers. c) How many cashiers and baggers should Food Goblin Supermarket schedule if it requires a 15% capacity cushion for the cashiers as well as for the baggers? Question 2 Chapter 5: The following diagram describes a service system where customers go through either of the two parallel three-step processes (A1-A2-A3 or B1-B2-B3) and then merge into a single line for the final step (F4). The numbers in parentheses are the times in minutes for each step of the process. a) What is the capacity of the entire system? b) If you could increase the capacity of only one step through process improvement efforts, which step would you select and what should be the maximum additional capacity for the selected step? What would be the resulting capacity of the entire system? Question 3 Chapter 5: A company is setting up an assembly line to produce 120 units per hour. The table below identifies the work elements, times, and immediate predecessors. Work Element Time (Sec.) Immediate Predecessor(s) A 15 --- B 10 A C 15 B D 18 C E 24 D F 15 B G 17 D H 15 F I 12 G,H J 23 E,I a) What cycle time is required to satisfy the required output? b) What is the theoretical minimum number of stations? c) Use one of the heuristic decision rules described in Table 5.3 on page 194 to balance the assembly line so that it will produce 120 units per hour. Clearly state the decision rule you use, and the work elements assigned to each station. Note: The actual number of stations to be used to balance the line depends on the heuristic decision rule used and may be higher than the theoretical minimum calculated in part b. d) What is the efficiency of the line you found in part c?