I ONLY NEED QUESTION 3 ANSWERD. PLEASE ANSWER THW WHOLE OF QUESTION 3

4:19 LTE Ims.unb.ca TUULIITIZ 1 of 3 + lidterm 2 ate: February 28, 2022 11:59pm (23:59) uration: 16hr roblems 1. [40%] UFS is a manufacturer of furniture. It currently manufactures four products using the same machines and workforce (at the same workstations). UFS is interested in developing its capacity plan for the upcoming year, and has determined the following yearly demand and production data: Product office chair reclining chair studio chair conference room chair Demand (units/year) 8,400 6,800 9,600 7,400 Batch Size Setup Time Proc. Tim (units) (hrs/batch) (min/unit 200 6 15 200 5 12 200 4 9 200 6 15 The manufacturing facility currently operates 6 production workstations 8 hours a day, 5 days per week and 50 weeks per year. Management has de- cided a capacity cushion of 25% is desirable. (a) What is the total manufacturing time required to meet the office chair demand? (b) What is the total manufacturing time required to meet the reclining chair demand? (c) What is the total manufacturing time required to meet the studio chair demand? (d) What is the total manufacturing time required to meet the conference room chair demand? (e) Given the current capacity cushion, what is the available manufacturing time per workstation? Page 1 of 3 t + 27 4:19 LTE now Wanis Wuxi is typing... 5531Viratermz 2 of 3 - + 2. [35%] Customers in a small retail store arrive at the single cashier on aver- age every 6 minutes. The average service time for the cashier is 5 minutes. Arrivals tend to follow a Poisson distribution, and service times follow an exponential distribution. We need to analyze this waiting-line system. (a) What is the average utilization of the cashier? (b) What is the average number of customers in the system? (c) What is the average number of customers in the line? (d) What is the average time spent in the system? (e) What is the average time spent in line? (f) The owner feels that if there are more than 5 customers at the cashier (waiting in the line and being served), we induce ill-will in our cus- tomers, and they will not return. What is the probability that there will be more than 5 customers in the system? (g) Should the retail store consider creating a second cashier lane? (h) A cash machine manufacturer has offered an advanced system that will reduce service time to 2 minutes per customer. The cost of the new machine would be the same as opening a second cashier lane, so the owner has decided to buy the new system only if it reduces wait times over the two-cash option. Evaluate the two options (advanced cash or a two-cash system) and suggest which option you would choose. 3. [25%] A soda drink bottling company is interested in winning a contract with a popular drink brand. To win the contract the company must show that it is capable of meeting 6o quality. The contract is for the production of 355mL cans, for which a tolerance of 0.5mL is specified. The company believes the facility is in statistical control and has calculated a global value of R = 0.15mL and 7 = 355.025mL for its production system. The com- pany ran a capability test by obtaining 10 samples (each of 8 elements) on which capability calculations will be performed. The data obtained is in the following table: Page 2 of 3 t + 27