A toy firm produces drums sequentially on three machines—A, B, and C—with cycle times of 3, 4, and 6 minutes, respectively. (a) Determine the optimum efficiency and output rates for adding one, two, ... , six more machines.
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A toy firm produces drums sequentially on three machines—A, B, and C—with cycle times of 3, 4, and 6 minutes, respectively.
(a) Determine the optimum efficiency and output rates for adding one, two, ... , six more machines.
(b) assume now that two identical lines are operating, each with machines A, B, and C. If new machines can be shared between the lines, how should one, two and then three new machines be added What are the resulting efficiencies and outputs of the two lines? is it always best to equally share extra machines between the two lines?
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- A toy firm produces drums sequentially on three machines- A, B, and C- with cycle times of three, four, and six minutes, respectively. a) Determine the optimum efficiency and output rates for adding one, two... six more machines b) Assume now that two identical lines are operating, each with machines A, B, and C. If new machines can be shared between the lines, how should one, two, and then three new machines be added? What are the resulting efficiencies and outputs of the two lines? Is it always best to equally share extra machines between the two lines?11. Leo manages a receiving station for rice. Farmers deliver their loads of rice from 7 am to 7 pm. Leo can process them at a rate of 4.5 tons an hour, and on a heavy day, a total of 96 tons can be expected. The station has room to hold only 15 tons of rice in inventory prior to processing. Once this space is filled, the farmers’ trucks must wait to dump their contents. What is the throughput (flow) rate after 7 pm (in tons/hr)?The Farm-4-Less tractor company produces a grain combine (GC) in addition to both a large (LT) and small size tractor (SM). Its production manager desires to produce to customer demand using a mixed-model production line. The current sequence of production, which is repeated 30 times during a shift, is SM-GC-SM-LT-SM-GC-LT-SM. A new machine isproduced every 2 minutes. The plant operates two 8-hour shifts. There is no downtime because the 4 hours between each shift are dedicated to maintenance and restocking raw material. Based on this information, answer the following questions.a. How long does it take the production cycle to be completed?b. How many of each type of machine does Farm-4-Less produce in a shift?
- A Printed Circuit Board (PCB) machine installs integrated circuits onto a board. Before starting to produce a board, the PCB machine requires a 16-minute setup. Once in production, the PCB machine requires only 0.19 minute per board. a. Currently, the PCB machine produces 525 boards between setups. Given this operating process, what is the capacity of the PCB machine (in boards per min)? b. Currently, the PCB machine produces 525 boards between setups. Given this operating process, what is the utilization of the PCB machine? c. Say the PCB machine produces 400 boards s between setups and demand is 2 boards per minute. Given the operating process, what is the avergae inventory of boards anf the PCB machine? d. Demand for boards occurs at the rate of 2 boards per minute. What is the smallest batch size such that the PCB machine does not constrain the flow rate through the process?The wheat harvesting season in the American Midwest is short, and farmers deliver their truckloads of wheat to a giant central storage bin within a 2-week span. Because of this, wheat-filled trucks waiting to unload and return to the fields have been known to back up for a block at the receiving bin. The central bin is owned cooperatively, and it is to every farmer's benefit to make the unloading/storage process as efficient as possible. The cost of grain deterioration caused by unloading delays and the cost of truck rental and idle driver time are significant concerns to the cooperative members. Although farmers have difficulty quantifying crop damage, it is easy to assign a waiting and unloading cost for truck and driver of $17 per hour. During the 2-week harvest season, the storage bin is open and operated 16 hours per day, 7 days per week, and can unload 34 trucks per hour according to a negative exponential distribution. Full trucks arrive all day long (during the…The wheat harvesting season in the American Midwest is short, and farmers deliver their truckloads of wheat to a giant central storage bin within a 2-week span. Because of this, wheat-filled trucks waiting to unload and return to the fields have been known to back up for a block at the receiving bin. The central bin is owned cooperatively, and it is to every farmer’s benefit to make the unloading/storage process as efficient as possible. The cost of grain deterioration caused by unloading delays and the cost of truck rental and idle driver time are significant concerns to the cooperative members. Although farmers have difficulty quantifying crop damage, it is easy to assign a waiting and unloading cost for truck and driver of $18 per hour. During the 2-week harvest season, the storage bin is open and operated 16 hours per day, 7 days per week, and can unload 35 trucks per hour according to an exponential distribution. Full trucks arrive all day long (during the hours the bin is open)…
- The Pullman Mfg., Inc. three-station work cell illustrated in the figure below has two machines at station 1 in parallel. (The product needs to go through only one of the two machines before proceeding to station 2.) Q 12 min/unit Station 1 Machine A Station 1 Machine B 12 min/unit Station 2 12 min/unit Station 3 2 min/unit The manager, Ms. Hartley, has asked you to evaluate the system if she adds a parallel machine at station 2. a) The throughput time of the new work cell is minutes (enter your response as a whole number).RideShare offers short-term rentals of vehicles that are kept in small lots in urbanneighborhoods with plenty of potential customers. With one lot, it has eight cars. Theinterarrival time of potential demand for this lot from its base of customers is 40 minutes.The average rental period is five hours. If a customer checks availability of vehicles in thislot online and finds that they are all rented for the desired time, the customer skips rentingand finds alternative arrangements. However, because customers pay a monthly fee tosubscribe to this service, RideShare does not want customers to be disappointed too often.a. What is the offered load?b. What is the implied utilization?c. What is the capacity of the process (rentals per hour)?d. What is the probability that all eight cars are rented at the same time?e. How many customers are served every hour?f. What is the utilization of the cars?g. How many cars should it have in this lot to ensure that it serves at least 90 percent ofdemand?1. Terry runs a steak-burger shop near Winona, MN. Customers are waiting in a single waiting line served by a single kitchen (To simplify the matter, let’s assume that the order placement process is fast enough so that customers are being released at the same pace they arrive). The kitchen makes 18 burgers per hour. Recently, a highway is constructed near his burger shop so that the demand has increased substantially. Now he is looking at, on average, 4-minute inter-arrival time. His shop operates 8 hour a day. 1) About 1 in 4 customers will decide not to join the waiting line if they see the line has more than 4 people waiting. Each lost sales opportunity costs the business $20. Currently, how much is the total daily loss due to the long waiting line?
- Knott’s Industries manufactures standard and super premium backyard swing sets. Currently it has four identical swing-set-making machines, which are operated 250 days per year and 8 hours each day. A capacity cushion of 20 percent is desired. The following information is also known: Standard Model Super PremiumModel Annual Demand Standard Processing Time Average Lot Size Standard Setup Time per Lot 20,000 7 min 50 30 min 10,000 20 min 30 45 min a. Does Knott’s have sufficient capacity to meet annual demand?b. If Knott’s was able to reduce the setup time for the Super Premium Model from 45 minutes to 30 minutes, would there be enough current capacity to produce 20,000 units of each type of swing set?An operation uses 120 Kilos of a certain material each day. Material is transported in containers that hold 20 kilos each. The plant operates on an 8 hours/day. assume that the inefficient factor for 8 this operation is 0.25. If the manager wants to have the number of containers exactly 3 per day, what would be the cycle time for container of this machine operation in hours?The wheat harvesting season in the American Midwest is short, and most farmers deliver their truckloads of wheat to a giant central storage bin within a two-week span. Because of this, wheat-filled trucks waiting to unload and return to the fields have been known to back up for a block at the receiving bin. The central bin is owned cooperatively, and it is to every farmer’s benefit to make the unloading/storage process as efficient as possible. The cost of grain deterioration caused by unloading delays, the cost of truck rental, and idle driver time are significant concerns to the cooperative members. Although farmers have difficulty quantifying crop damage, it is easy to assign a waiting and unloading cost for truck and driver of $18 per hour. The storage bin is open and operated 16 hours per day, 7 days per week, during the harvest season and is capable of unloading 35 trucks per hour according to an exponential distribution. Full trucks arrive all day long (during the hours the bin…