A restaurant has a maximum capacity to serve 60 customers at any given point of time. However, over extended periods in a day, all tables are occupied and the restaurant staff are able to reconfigure the layout to regularly serve 70 customers with many customers still queuing up to get inside the restaurant. What is the utilization of the restaurant?
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A restaurant has a maximum capacity to serve 60 customers at any given point of time. However, over extended periods in a day, all tables are occupied and the restaurant staff are able to reconfigure the layout to regularly serve 70 customers with many customers still queuing up to get inside the restaurant. What is the utilization of the restaurant?
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- A 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?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…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?
- Abbott Manufacturing produces plastic cases for solar photovoltaic panels and has decided to combine orders from customers to increase work order size, and thereby, make one large production run per model type. Plastic injection molding machines are used to make these parts, and it is time consuming to clean and re-setup the machines between production runs. Each molding machine and operator works one 10-hour shift with a one- hour lunch break and one-half hour for operator breaks. Consolidated Work Orders Model XVT-5 Case Model UYT-3 Case Model KLY-6 Case Work Order Quantity 8,800 panels 8,700 12,400 Setup (Changeover) Time per Work Order (minutes) 86 63 135 Processing Time per Panel (seconds) 2.50 2.22 4.11 What is the total workload (demand) in hours for this work order mix? Round your answer to one decimal place. The total workload is hours. How many machines will it take to do this work in one, two, or three days? Round your answers up to the nearest whole number. To do this work…Abbott Manufacturing produces plastic cases for solar photovoltaic panels and has decided to combine orders from customers to increase work order size, and thereby, make one large production run per model type. Plastic injection molding machines are used to make these parts, and it is time consuming to clean and re-setup the machines between production runs. Each molding machine and operator works one 10-hour shift with a one-hour lunch break and one-half hour for operator breaks. Consolidated Work Orders Model XVT-5 Case Model UYT-3 Case Model KLY-6 Case Work Order Quantity 9,600 panels 7,900 12,000 Setup (Changeover) Time per Work Order (minutes) 98 160 What is the total workload (demand) in hours for this work order mix? Round your answer to one decimal place. The total workload is hours. How many machines will it take to do this work in one, two, or three days? Round your answers up to the nearest whole number. To do this work in 1 day they need machine(s). machine(s). To do this…A production line has three stations and the first station can process a unit in 10 minutes. The second station has two identical machines, each of which can process a unit in 12 minutes. The third station can process a unit in 8 minutes. What is the hourly capacity of this production line?
- 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?The Pullman Mig, 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.) 20 minunit Station 1 Machine A Station 1 Machine B 20 min/unit Station 2 6 min/unit Station 3 12 minunit The manager, Seimone Hartley, has asked you to evaluate the system if she adds a parallel machine at station 3. a) The throughput time of the new work cell is 38 minutes (enter your response as a whole number). b) The bottleneck time of the new work cell is 10 minutes per unit (enter your response as a whole number). c) If the firm operates 10 hours per day, 6 days per week, the weekly capacity of the work cell with the second machine at workstation 3 is 360 units (enter your response as a whole number). d) If the firm operates 10 hours per day, 6 days per week, the weekly capacity of the work cell without the second machine at workstation 3 is units (enter your response…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.) 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 26 minutes (enter your response as a whole number). b) The bottleneck time of the new work cell is minutes per unit (enter your response as a whole number). Q M
- 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.) 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). QThe 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.) 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 26 minutes (enter your response as a whole number). b) The bottleneck time of the new work cell is 6 minutes per unit (enter your response as a whole number). c) If the firm operates 10 hours per day, 6 days per week, the weekly capacity of the work cell with the second machine at workstation 2 is whole number). units (enter your response as aA production line is a set of sequential operations established in a factory plant where components are assembled to make a finished product or where materials are put through a refining process to produce an end-product that is suitable for onward consumption. Ford have seven production lines in their manufacturing plant for their automotive parts where each production line produces 120, 100, 80, 116, 77, 94, 112 output per day. (a) As the Production Manager at Ford, you are required to submit the daily report of the production plant. Calculate the mean, median, and mode from the data based on the output that has been provided. (b) Also calculate the three critical parameters for measuring spread in the following ways: Range Variance Standard Deviation