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- Before completing production, a product must passthrough three stages of production. On the average, a newproduct begins at stage 1 every 6 minutes. The average timeit takes to process the product at each stage is as follows:stage 1, 3 minutes; stage 2, 2 minutes; stage 3, 1 minute.After finishing at stage 3, the product is inspected (assumethis takes no time). Ten percent of the final products arefound to have a defective part and must return to stage 1 andgo through the entire system again. After completing stage3, 20% of the final products are found to be defective. Theymust return to stage 2 and pass through 2 and 3 again. Onthe average, how many jobs are in the system? Assume thatall interarrival times and service times are exponential andthat each stage consists of a single server.In a furniture manufacturing facility, there is a drilling shop with semi-automated machines. For an operator, it takes 20 seconds for a worker to move from one machine to the other. To load a drilling job to the machines a worker spends 3 minutes. Once loaded machines finish the drilling job in 4 minutes. The worker spends 40 seconds to conduct a quality check for the finished parts. If two machines are allocated to a worker which of the following will be true? Machines will have idle time Neither machines nor the worker will have idle time The worker and the machines both will have idle time Worker will have idle timeConsider the following service system. The average inter-arrival time is 10 minutes, and the standard deviation of the inter-arrival time is 10 minutes. The average processing time is 5 minutes with the standard deviation of the processing time being 6 minutes. What is the Flow rate of the process in [customers/minute]?
- Customers send emails to a help desk of an online retailer every 2.9 minutes, on average, and the standard deviation of the interarrival time is 90 seconds. The online retailer has three employees answering emails. It takes on average 7.5 minutes to write a response email. The standard deviation of the service times is 3.5 minutes. How many emails would there be, on average, that have been submitted to the online retailer, but their senders have not received the response email yet?At Maggard Micro Manufacturing, Inc., workers press semicon-ductors into predrilled slots on printed circuit boards. The elemen-tal motions for normal time used by the company are as follows: Reach 6 inches for semiconductors 40 TMUGrasp the semiconductor 10 TMUMove semiconductor to printed circuit board 30 TMUPosition semiconductor 35 TMUPress semiconductor into slots 65 TMUMove board aside 20 TMU (Each time measurement unit is equal to .0006 min.)Determine the normal time for this operation in minutes andin seconds.Consider the case of Conrad's Cookie Company, where he and two of his friends (Jared and Jack) are working to make and sell cookies. They have just one oven and can bake up to two dozen cookies at a time. The oven can bake two dozen cookies simultaneously (of similar or different ingredients) or one dozen only. If one dozen is baking in the oven, baking time will not be any different from baking two dozen simultaneously. The sequence of baking steps and respective durations are below. Mixing and Spooning (together) 3 mins/dozen Loading 1 minutte/dozen. Baking 8 mins. baking time for one or two dozens. Cooling 6 minutes Packing 5 mins/dozen cookies Payment (to be done after packing only) 1 minute per order If all orders are 4 dozen cookies, a) What is the best way to assign Conrad and his friends to jobs in order to maximize capacity? Find highest theoretical capacity and bottleneck of the process. b) Once system warms up, is the capacity the same…
- Consider the case of Conrad's Cookie Company, where he and two of his friends (Jared and Jack) are working to make and sell cookies. They have just one oven and can bake up to two dozen cookies at a time. The oven can bake two dozen cookies simultaneously (of similar or different ingredients) or one dozen only. If one dozen is baking in the oven, baking time will not be any different from baking two dozen simultaneously. The sequence of baking steps and respective durations are below. Mixing and Spooning (together) 3 minutes of labor time per dozen Loading 1 minutes per dozen. Baking 8 minutes of baking time for one or two. Cooling 6 minutes; Packing 5 minutes of labor time per dozen cookies Payment (to be done after packing only) 1 minutes of labor time per order If all orders are 4 dozen cookies, a) What is the best way to assign Conrad and his friends to jobs in order to maximize capacity? Find highest theoretical capacity and bottleneck…A manufacturing company produces 10,000 products per year (50 weeks per year is the available time). The average processing time of each product is 3 weeks. How many products are being processed (on an average) at any given point? What is the average pace of the line (time between two consecutive outputs)?At a cruise ship terminal, each day on average 1000 passengers embark on ships. Onaverage, passengers spend 5 days on their cruise before returning to this terminal. If theflow unit is a passenger, then what are the flow rate and flow time of this process?
- Consider the following data: observed time/unit = 6 minutes Performed Rating = 110% Allowance = 25% of normal time shift duration = 6hours Calculate the standard outputs/shift 2) An employee processes 6 insurance policies/day. The company employs 4 employees,each working 8 hours/day.Employee wage/day=620 dollar and daily overhead expanse = 480 dollar.The company is now considering a purchase of new technology which will enable each employee to process 9 insurance policies/day with an increase of 65 dollars in the daily overhead expanse.The company is aiming for at least 30 percent increase in both labor and multifactor productivity after this purchase.Should the company go for this purchase?A manufacturing plant is trying to determine standard production per day for an incentive program. Suppose that the incentive program will pay $1 per unit produced above standard rates. A worker is timed at an average of 280 seconds per unit, with a performance rating of 105%. The plant has an allowance factor of 13%. If the worker later produces 100 units in an 8-hour shift, how much would he receive under the incentive plan?The time from when a patient is discharged from North Shore Hospital to the time the discharged patient’s bed is ready to be assigned to a new patient is referred to as the bed assignment turnaround time. If the bed turnaround time is excessive, it can cause problems with patient flow and delay medical procedures throughout the hospital. This can cause long waiting times for physicians and patients thus creating customer dissatisfaction. The admissions RN has assigned a patient care associate to measure the bed turnaround time for a randomly selected bed each morning., afternoon, and evening for 30 days. Following are the bed turnaround time sample observations: Day Day Bed Turnaround Times (min) 1 1 127 135 167 144 151 2 2 140 155 122 135 119 3 3 112 128 97 118 131 4 4 223 135 154 187 150 5 5 181 155 160 172 166 6 6 103 158 145 124 149 7 7 146 135 167 150 178 8 8 104 122 115 137 129 9 9 136 158 137 148 156 10 10 145 163 106 139 170 11 11 84 146 125 98…