Pristol, a food retailer, supplies food for vending machines at a university. As the machines are abused by university students, management has to repair them. The machines break down at an average of three per hour and the breakdowns are Poisson distributed. The downtime costs the company $25/hr and each maintenance worker earns $4/hr. One worker can service the machines at a rate of five per hour, exponentially distributed; two workers working together can service at seven per hour, exponentially distributed; and a crew of three can service at eight per hour, exponentially distributed. How large should the crew size be for optimal cost?
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Pristol, a food retailer, supplies food for vending machines at a university. As the machines are abused by university students, management has to repair them. The machines break down at an average of three per hour and the breakdowns are Poisson distributed. The downtime costs the company $25/hr and each maintenance worker earns $4/hr. One worker can service the machines at a rate of five per hour, exponentially distributed; two workers working together can service at seven per hour, exponentially distributed; and a crew of three can service at eight per hour, exponentially distributed. How large should the crew size be for optimal cost?
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- AVR supplies food for the vending machines at a university. As the machines are mistreated by the university students, management has to repair them. The machines break down at an average of three per hour and the breakdowns are distributed in a Poisson pattern. The time the machines are down costs the company $25/hr and each maintenance worker earns $4/hr. One worker can service the machines at a rate of five per hour, exponentially distributed; two workers working together can service at seven per hour, exponentially distributed; and a crew of three can service at eight per hour, exponentially distributed. How large should the crew size be for optimum cost? PLEASE HELP ME, I NEED IT FASTLY, I WILL RATE YOU, IF YOU CAN MAKE IT IN EXCELAVR supplies food for the vending machines at a university. As the machines are mistreated by the university students, management has to repair them. The machines break down at an average of three per hour and the breakdowns are distributed in a Poisson pattern. The time the machines are down costs the company $25/hr and each maintenance worker earns $4/hr. One worker can service the machines at a rate of five per hour, exponentially distributed; two workers working together can service at seven per hour, exponentially distributed; and a crew of three can service at eight per hour, exponentially distributed. How large should the crew size be for optimum cost? I WILL RATE YO, HELP ME.A crew of mechanics at the Department of Transportation garage make minor repairs to snowplows during the winter. The snowplows break down at an average rate of 4 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 10 vehicles per day with a repair time distribution that approximates a negative exponential distribution. Assume an 8 hour day. What is the system utilization? Group of answer choices 0.60 0.17 0.40 0.67
- A crew of mechanics at the Highway Department garage repair vehicles that break down at an average of 15 vehicles per hour (approximately Poisson in nature). The mechanic crew can service an average of 3 vehicles every 10 minutes with a repair time distribution that approximates an exponential distribution. The crew cost is approximately $100 per hour. The cost associated with lost productivity from the breakdown is estimated at $25 per vehicle per hour (or any fraction thereof). Which is cheaper, the existing system with one service crew, or a revised system with two service crews? The average waiting time for adding the second crew is 0.02.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)…
- A new customer walks into SLC Barber Shop every 60 minutes on average, with a standard deviation of the interarrival times being 60 minutes. At SLC Barber Shop, the average service time is 30 minutes, with a standard deviation of service times being 45 minutes. 1. What is the utilization of the barber? 2. What is the CVa? 3. What is the CVp?A mechanic at the Department of Maintenance makes minor repairs to faulty golf electric carts. The carts break down at an average rate of 4 carts per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 6 carts per day with a repair time distribution that approximates a negative exponential distribution. Assume an 8 hour day. a- What is the utilization rate for the mechanic? b- What is the average time in hours that a cart is out of service?Kitty Wonderland (KW) makes toys for cats. KW’s managers have recently learned that they can calculate the average waiting time for an order from the time an order is received and the time it is manufactured. They have asked for your help and have provided the following information. Expected number of orders for the product: 2,000 Manufacturing time per order: 4 hours Annual machine capacity in hours: 10,000 After learning about the average waiting time, KW’s managers are confused. They do not understand why, if annual machine capacity is greater than the average number of orders for the product, there would be any waiting time at all. Briefly answer the following questions Calculate the average waiting time per order. The managers have asked for your suggestions on what they can do to minimize or eliminate waiting time. How would you respond? Management is expecting sales to increase. Will average waiting time increase or decrease? Explain briefly.
- The Universal Manufacturing Company produces a par-ticular product in an assembly-line operation. One of the machines on the line is a drill press that has a single as-sembly line feeding into it. A partially completed unit ar-rives at the press to be worked on every 8 minutes, on average, according to an exponential distribution. Themachine operator can process an average of 10 parts perhour (Poisson distributed). Determine the average numberof parts waiting to be worked on, the percentage of timethe operator is working, and the percentage of time themachine is idle.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…At Susie's Dress Manufacturing, the company's garment production lines produces 600 dresses in a day. The standard allowed minutes (SAM) for a single dress is 30 minutes. They employ 50 operators, who work 8 hours a day (lunch/break has been already accounted for). What is the total available maximum output at Susie's daily in minutes? Group of answer choices 22,000 min 24,000 min 26,000 none of the above