Students are going through a three-step process to obtain their ID cards. Each student will spend 2 minutes at the registration desk before going to one of three cashiers to pay a fee for the ID card. After that, he/she will visit one of four ID processing stations to have his/her picture taken and ID card printed. Visits to the cashier and ID processing station take 10 and 20 minutes respectively. If the demand rate is 0.5 student per minute, how long does it take to process 20 students, assuming the system is full?
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- 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?McDonalds has a drive-through window and, during peak lunch times, can handle a maximum of 85 cars per hour with one person taking orders, assembling them, and acting as cashier. The average sale per order is $12.00. A proposal has been made to add two additional workers and divide the tasks among the three. One will take orders, the second will assemble them, and the third will act as a cashier. With this system, it is estimated that 120 cars per hour can be serviced. Use productivity arguments to recommend whether or not to change the current system. Hint: Productivity = revenue/labor dollarThe three-station work cell at Pullman Mfg., Inc. is illustrated in the figure below. It has two machines at station 1 in parallel (i.e., the product needs to go through only one of the two machines before proceeding to station 2). a) The throughput time isminutes (enter your response as a whole number). b) The bottleneck time of this work cell isminutes per unit (enter your response as a whole number) c) is the bottleneck station. If the firm operates 11 hours per day, 6 days per week, the weekly capacity of this work cell isunits (enter your response as a whole number).
- A production line at V. J. Sugumaran’s machineshop has three stations. The first station can process a unit in10 minutes. The second station has two identical machines,each of which can process a unit in 12 minutes. (Each unitonly needs to be processed on one of the two machines.) Thethird station can process a unit in 8 minutes. Which station isthe bottleneck station?Choice Bank receives credit card applications that need to be reviewed for a decision. There are two types of applications; preapproved, and non-preapproved. Preapproved applications only need a quick review and therefore take 6 minutes to process. Applications that are not preapproved need a secondary credit check and take 15 minutes to process. 8. The bank receives 10 preapproved applications every hour and 6 applications that are not preapproved every hour. What is the utilization of the process?Chris has three different workstations: one for drip coffee, one for espresso drinks, and one to prepare food. During the morning rush, Chris has 5 people working: one person at the drip coffee station, two at the espresso station, and two at the food prep station. These employees are not cross-trained, and thus must stay at their station. On average, it takes the person at the drip coffee station 1 minute to make the coffee. On average, it takes one person working at the espresso station 3 minutes to make one espresso drink. On average, it takes one person working at the food station 4.5 minutes to prepare the food for one customer. The customer mix is as follows. 10% order just a drip coffee, 30% order a drip coffee and food, 35% order just an espresso drink, and 25% order an espresso drink plus food. A total of 40 customers/ hour frequent Chris'. What is the implied utilization at the espresso station? Provide your answer in decimal form, and round to 4 decimal places. (So, if your…
- Super Fun Industries manufactures four top-selling toys code-named A-148, B-356, B-457, and C-843. The following table shows how long it takes to process each toy through each required station. Note that all times are in minutes. Super Fun's manufacturing plant is open 12 hours a day, 5 days a week, and 8 hours on Saturday. b. If weekly demand for the four products are A-148=180 units, B-356=310 units, B-457=280 units, and C-843=300 units, which station is the bottleneck, and is it capable of producing all the toys demanded? The bottleneck for Super Fun Industries is ▼ Station 1 Station 2 Station 3 Station 4 , with a utilization of ______%. (Enter your response rounded to one decimal place.)A work cell at Chris Ellis Commercial Laundryhas a workstation with two machines, and each unit producedat the station needs to be processed by both of the machines.(The same unit cannot be worked on by both machines simultaneously.) Each machine has a production capacity of 4units per hour. What is the throughput time of the work cell?A work center consists of 4 machines working 8 hours a day for a 5-day week. If theutilization is 80% and the efficiency is 90%, what is the rated capacity of the workcenter?
- Georgetown Pizza makes favorite pan pizzas every day with three working shifts around the clock. The current completely cooked pizza making process has a fixed cost of $24,000, and a variable cost of $2.75 per pizza. The owner is considering a different process that can make pizzas in two ways: completely cooked and selling at $13.98 per unit, or partially cooked with a selling price of $12.98 per unit. This alternate process has a fixed cost of $28,000, but a lower variable cost (because much less energy is used in baking) of $2.25 per pizzac. If the owner expects to get $390,000 as a half year profit, how many units of completely cook pizzas, should Georgetown sell a year using the current pizza making process? d. Determine the annual design capacity for Georgetown’s production if the completely cook pizzas can be produced at 120 units per hour.The roller coaster at Treasure Island Amusement Park consists of 20 cars, each of which can carry up to two passengers. According to a time study, each run takes 4.5 minutes, and the time to unload and load riders is 5.5 minutes. What is the theoretical capacity of the system in number of passengers per hour? Round your answer down to the nearest whole number. _________ passengers per hourA company producing a standard line and a deluxe line of dishwashers has the following time requirements (in minutes) in departments where either model can be processed. Standard Deluxe Stamping 3 6 Motor Installation 10 10 Wiring 10 15 The standard models contribute $20 each and the deluxe $30 each to profits. Because the company produces other items that share resources used to make the dishwashers, the stamping machine is available only 30 minutes per hour, on average. The motor installation production line has 60 minutes available each hour. There are two lines for wiring, so the time availability is 90 minutes per hour. Write the formulation for this linear program. What are the optimal daily production quantities of each product and the optimal daily profit?