A company manufactures two products Q and W on three machines A, B and C. Q requires 1 hrs on machine A, 1 hr on machine B and C and yields a revenue of USD 3. Product W requires 2 hrs on machine A and 1 hr on machine B and C and yields revenue of USD 5. In the comming period the available time of three machines A, B and C are 2000 hrs, 1500 hrs and 600 hrs respectively. Find the optimal product m
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A company manufactures two products Q and W on three machines A, B and C. Q requires 1 hrs on machine A, 1 hr on machine B and C and yields a revenue of USD 3. Product W requires 2 hrs on machine A and 1 hr on machine B and C and yields revenue of USD 5. In the comming period the available time of three machines A, B and C are 2000 hrs, 1500 hrs and 600 hrs respectively. Find the optimal product mix.
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- During an eight-hour shift, 750 non-defective parts are desired as a result of a manufacturing operation. The default operation time is 15 minutes. As the operators of machine are inexperienced, the actual time they take to perform the operation is 20 minutes, and, on average, a fifth of the parts that start to be manufactured are lost. Assuming that each one of the machines used in this operation will not be available for one hour in each shift, determine the number of machines needed.A machine used for cutting materials in a factory has the following outputs per hour at various speeds and required periodic tool regrinding at intervals cited. Speed Hour Output per Tool RegrindingA 200 pieces every 8 hours B 280 pieces every 5 hours A set of tools costs 560 and can be ground twenty times. Each regrinding costs 54.00 and the time needed to regrind and change tools is 1 hour. The machine operator is paid 35.00 per hour including the time the tool is changed. The tool grinder who also sets the tools to the machine is paid 40.00 per hour. The hourly rate chargeable against the machine is 38.00, regardless of machine speed. Which speed is more ecomical? A. Speed B, 0.096/pc B Speed B, 0.087/pc C. Speed A, .054/pc D. Speed A >037/pcThe cost infomation of an old process unit that has a capacity of 5,400 ft'/hr and a total cost of $8,500,000 is used to find the cost of a new unit that has a capacity of 8,500 t'hr. Assuming the total cost of the new unit is $12,000,000 you are required to state: 1. The method and equation that you will use to find that cost, 2. The value of the corresponding factor, 3. Is the value calculated in (2) within the accepted range?
- An industrial engineer has designed two alternative methods for accomplishing a production job. Both methods involve the acquisition of the same working place and other capital equipment to be used for this job only. Method A calls for a crew consisting of three men each costing Php30/hr. This method will result in the production of 10 units per hour of which two will be reject. Method B calls for a crew of two men each costing Php35/hr and should result in the production of eight units per hour of which one will be reject. The cost of the direct material lost in each reject is Php20. If a certain total number of units is to be produced find which method is economical?Joan has a small design and tailoring shop making custom outfits for women. She has two employees. Each employee only begins working on a dress when a customer order has been received and then she makes the dress from beginning to end. The average production time of a dress is 1.8 days, with a standard deviation of 2.1 days. Historically, Joan has been receiving orders with interarrival times of one day on average. The interarrival times of orders have a coefficient of variation of one. (Carry at least 4 decimal places in all intermediate calculations. Round your final answer to 2 decimal places.) What is the expected waiting time, in days, between when an order is received and when production begins on the dress? A. 9.12 days B. 6.50 days C. 1.23 days D.3.41 daysLuck has two machines that analyze various blood samples. Recently, the demand for analyzing blood samples has increased and the lab director is planning to use linear programming to maximize the revenue for the lab. The lab gets blood samples for four types of special blood tests in the evening that must be completed the next day. The revenue from each type of special test and the time (in minutes) it takes on each machine is shown below. Revenue per test Time on Machinel Time on Machine 2 Test Type 1 $15 a. 3 minutes 5 minutes Test Type 2 $12 4 minutes 3 minutes C. What is the optimal solution? Test Type 3 $20 4 minutes 5 minutes Any machine can be used to process any type of the tests. Every day, each machine can be used for 12 hours (720 minutes). If anytime is left over in any machine, the lab can do routine tests which take 3 minutes pertest on either machine and the lab earns a revenue of $9 per test. There are usually about 200 routine tests waiting to be done which could be…
- 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?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?FeVer Beverages is a typical coffee shop that operates at Batangas. Recently, the general manager is facing a challenge about not meeting their target lead time of serving the hot coffee of 15 minutes. The lead time starts from order taking until order serving. The staffing model of the shop has one cashier, one barista and a guard. The number of staff, equipment, and raw materials have been found sufficient. Based on the initial data analysis, the volume of customers has been stable. Because there is a need for the lead time to improve as to retain its customers and to even grow, a problem-solving effort has been started using the Lean Six Sigma DMAIC approach. Using the FEVER Beverages, you should create your own Project Charter and SIPOC Diagram.
- 4. The seven-person maintenance function at a hospital performs both preventive and corrective maintenance on hundreds of items each month, All the workers are scheduled for 40 hours per week and there are four weeks in a month. It is the goal of the maintenance department to achieve 90% utilization with a mix of two-thirds preventive maintenance and one-third corrective maintenance, How many hours each month are spent performing preventive maintenance if they achieve their 90% utilization and correct/preventive mix targets?Solve the question below using the attached excel templates with formulas for renting both slow and fast copies (labeled in the excel tabs). Question: The Decision Sciences Department is trying to determine whether to rent a slow or a fast copier. The department believes that an employee’s time is worth $15 per hour. The slow copier rents for $4 per hour, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15 per hour, and it takes an employee an average of six 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?4. The Spencer Optics Company produces an inexpensive line of sunglasses. The manufacturing process consists of assembling two plastic lenses (produced by the firm's plastic molding depart- ment) into a finished frame (purchased from an outside supplier). The company is interested in using material requirements planning to schedule its operations and has asked you to prepare an example to illustrate the technique. The firm's sales manager has prepared a 10-week sales forecast for one of the more popular sunglasses (the Classic model) for your example. The forecast is 100 units per week. Spencer has customer orders of 110 units, 80 units, 50 units, and 20 units in weeks 1, 2, 3, and 4, respectively. The sunglasses are assembled in batches of 300 units. Presently, three such batches are sched- uled: one in week 2, one in week 5, and one in week 8. Complete the following time-phased record: Week hand 1 2 3 4 5 6 7 8 9 10 Classic Model On MPS Record Forecast Orders Projected available…