A roller coaster is being designed for a new theme park. Two "trains" are on the track at any given time. One train is being unloaded/reloaded while the other is moving along the track. The track itself takes 10 minutes to complete. The train being loaded should depart before the arriving train is no closer than one minute away. Each car of a train accommodates four people. Loading a car is estimated to take 6 seconds per passenger. Unloading is estimated to take 6 seconds per passenger. Suppose that (unlike actual roller coasters), only one car can be loaded or unloaded at a time. Unloading can NOT occur at the same time as loading. In order to maximize the number of potential passengers, how many cars should the train be made up of? Round your answer to the nearest whole car.
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- Consider the problem of assigning multiple jdentical machines to an individual operator for the following situations: the loading and unloading time is 5 minutes, the independent operator activity time is 2 minutes, the independent machine activity time is 15 minutes. (a) How many machines should be assigned so that the operator will not be idle? What is the machine idle time in this case? (b) How many machines should be assigned so that machines will not be idle? What is the operator idle time in this case?Tyler bakes Cookies (C) and Breads (B) with the help of two ovens in his little bakery. The time taken by Oven A to bake each cookie batch is 14 minutes and the time taken by Oven B is 12 minutes. The time taken by Oven A to bake a batch of bread is 16 minutes and the time taken by Oven B is 17 minutes. Each week both Ovens can be used for 50 hours each to bake Cookies and Breads. The rest of the time is used for baking other products. Moreover, Tyler starts each week with a stock of 25 batches of Cookies and 30 batches of Breads because the Cookies and Breads he produces can be considered to be “fresh” for a maximum of 2 weeks. There is an average weekly demand of 70 batches of Cookies and 50 batches of Breads. For each batch of Cookies, Tyler makes $30 in profit and for each batch of Breads Tyler makes $25 in profit. If there are any “close to losing freshness” goods at the end of the week, Tyler sells them at heavily discounted prices on weekends with a profit of $5 per batch of…The Decision Sciences Department is tyring to determine whether to rent a slow or fast copier. The department believes that an employee's time is worth $15/hour. The slow copier rents for $4/hr, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15/hr, and it takes an employee an average of 6 minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine should the department rent to minimize expected total cost per hour? Please note this class revolves around Microsoft Excel so the answer I need needs to show the formulas in Excel, along with any corresponding graphs, etc. Thank you in advance!
- A final assembly plant for a certain automobile model is to have a capacity of 240,000 units annually. The plant will operate 50 weeks/yr, two shifts/day, 5 days/week, and 8.0 hours/shift. It will be divided into three departments: (1) Body shop, (2) paint shop, (3) trim-chassis-final department. The body shop welds the car bodies using robots, and the paint shop coats the bodies. Both of these departments are highly automated. Trim-chassis-final has no automation. There are 15.5 hours of direct labor content on each car in this department, where cars are moved by a continuous conveyor. Determine: (a) Hourly production rate of the plant, (b) number of workers and workstations required in trim-chassis-final if no automated stations are used, the average manning level is 2.5, balancing efficiency = 93%, proportion uptime = 95%, and a repositioning time of 0.15 min is allowed for each worker.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…
- The Sure To Peal Paint Company stores all its metal compressed gas containers in a warehouse. These long cylindrical metal tanks contain various gases used in manufacturing cans of spray paint. The gas tanks are delivered to the warehouse by truck. Two receiving dock workers unload the containers from the delivery trucks and place them on four wheel trucks. Two materials handlers are responsible for pushing the loaded trucks into the warehouse, unloading the tanks and setting them up on end. The two materials handlers spend a major portion of their day moving loads of the gas tanks into the warehouse and placing them into the proper storage locations. In total, there are five different types of gases that in equal proportion make up 98% of all gas handled. Question: Management would like to identify a better way to handle these gas tanks. How can the handling operation be improved?South Beach University is conducting an online exam. There are 1,200 students taking this exam. Students are required to download the exam questions from the university’s learning management system (LMS), solve the questions, type their workings and answers in a computer word processing application, and submit the files back to the LMS. It is estimated that the LMS takes an average of 30 seconds to process a submission. For example, if a student submits his files at time T and the LMS is able to start processing his submitted files right away, it is estimated that the LMS accepts the submission at T + 30 seconds. The cut-off time of the exam is 12pm on the exam day, that is, if a submission cannot be accepted by the LMS by 12pm, it is considered late submission. Due to the capacity of the LMS servers, a maximum of 150 submissions can be processed at any point of time. Submissions are processed on a first-come-first-serve basis. If the number of submissions exceeds the capacity, some…South Beach University is conducting an online exam. There are 1,200 students taking this exam. Students are required to download the exam questions from the university’s learning management system (LMS), solve the questions, type their workings and answers in a computer word processing application, and submit the files back to the LMS. It is estimated that the LMS takes an average of 30 seconds to process a submission. For example, if a student submits his files at time T and the LMS is able to start processing his submitted files right away, it is estimated that the LMS accepts the submission at T + 30 seconds. The cut-off time of the exam is 12pm on the exam day, that is, if a submission cannot be accepted by the LMS by 12pm, it is considered late submission.Due to the capacity of the LMS servers, a maximum of 150 submissions can be processed at any point of time. Submissions are processed on a first-come-first-serve basis. If the number of submissions exceeds the capacity, some…
- South Beach University is conducting an online exam. There are 1,200 students taking this exam. Students are required to download the exam questions from the university’s learning management system (LMS), solve the questions, type their workings and answers in a computer word processing application, and submit the files back to the LMS. It is estimated that the LMS takes an average of 30 seconds to process a submission. For example, if a student submits his files at time T and the LMS is able to start processing his submitted files right away, it is estimated that the LMS accepts the submission at T + 30 seconds. The cut-off time of the exam is 12pm on the exam day, that is, if a submission cannot be accepted by the LMS by 12pm, it is considered late submission. Due to the capacity of the LMS servers, a maximum of 150 submissions can be processed at any point of time. Submissions are processed on a first-come-first-serve basis. If the number of submissions exceeds the capacity, some…A small shoe manufacturer makes two styles of shoes: oxfords and loafers. Two machines are used in the process: a cutting machine and a sewing machine. Each type of shoe requires 15 min per pair on the cutting machine. Oxfords require 10 min of sewing per pair, and loafers require 20 min of sewing per pair. Because the manufacturer can hire only one operator for each machine, each process is available for just 8 hours a day. Set up a system of linear inequalities that describes the number of pairs of each style of shoes that the manufacturer can produce within required working hours.Consider a business process in which each order that arrives is split into two jobs that are performed in parallel and are then rejoined before leaving the system. Assume no variance in inter-arrival times nor in process times for each task. Each station (depicted by a rectangle) contains one or more identical parallel servers (depicted by circles). Each server is independent of all others and can work on one job at at a time. Process times for individual servers at station A are 5 minutes. Servers at stations B and C have process times of 3 and 6 minutes respectively. Consider the system with one server at each of the stations A and B as before, and two identical parallel servers (each with a 6 minute process time) at station C. What is the system's capacity? What is the cycle time for each order through the entire process flow?