is 249,500 units. Moreover, the daily operating cost for Plant 1 is $55,000, for Plant 2 is $60,000, and for Plant 3 is $60,000. How many days should each plant be operated in order to fill the total demand, and keep the operating cost at a minimum?
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- At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.Jefferson Company’s demand for its only product exceeds its manufacturing capacity. The company provided the following information for the machine whose limited capacity is prohibiting the company from producing and selling additional units. Actual run time this week 6,106 minutes Machine time available per week 8,600 minutes Actual run rate this week 4.32 units per minute Ideal run rate 6.00 units per minute Defect-free output this week 11,315 units Total output this week (including defects) 15,500 units 1. Compute the utilization rate.2. Compute the efficiency rate. 3. Compute the quality rate. 4. Compute the overall equipment effectiveness (OEE).Calculate the Total Pallet Capacity in a Warehouse with the following data:
- A steel production plant manufactures bands and coils which sell at a profit of $25 and $30 per ton,respectively. The production rate of the plant for bands is 200 tons/hr, and that for coils is 140 tons/hr.Based on the market analysis, it has been identified that the weekly demand is at most 6000 tons and4000 tons for bands and coils, respectively . The plant operates for a maximum of 40 hours per week. 1. In Microsoft Excel, formulate a linear programming model instance for this problem, then solve. 2. Assume that the products need to be painted after manufacturing, and the painting departmentcan paint at a rate of 600 tons per hour for bands and 400 tons per hour for coils. The paintingdepartment works only for 20 hours. Update the linear programming model instance to accom-modate this requirement, and re-solve the problem. 3. The plant is planning to introduce another product “rods” to its production mix with the followingparameters:•Profit/ton = $40•Production volume = 150…4A company produces three products A,B, and C. The products are processed through three machines as follows Standard Standard Standard ProductAnnual demand Time on m/c 1Time on m/c 2Time on m/c 3 A 600 15 350 2 1000 12 10 If there are 250 working days per year and the company plans to work one seven hours shift per day, then compute the number of machines required. B.
- a) Suppose you walk into a large supermarket at 2 am with a friend. Your friend says, "I can't believe that these stores stay open all night. Only one out of fifteen checkout lines is open. There can't be more than ten shoppers in this store. It just doesn't make any sense for this store to be open all night." What conditions must be true for it to be to the advantage of the supermarket to stay open all night? b) Your friend has a large garden and grows fresh fruit and vegetables to be sold at a local "farmer's market." Last year your friend was the only worker in the garden, without any additional workers. However, this year your friend hired a worker and production more than doubled. He comments "Next summer, I think I'll hire another two workers (so total workers including myself would go up from 2 to 4) and my output should again more than double". Is it likely that he could hire more workers and always continue to reap greater than proportional increases in production? Why?The controller's staff at McNichols Lubricants is responsible for preparing quarterly performance reports. One report evaluates quarter- to-quarter improvement in partial productivity of the two main inputs in the production process: base chemical and labor. Management at McNichols is particularly interested in the results because there have been numerous efficiency improvement programs instituted at the company recently. Data for the last two quarters follow: Barrels input Labor-hours Barrels of output Required: a. Compute the partial productivity measures for labor for quarter 1 and quarter 2. b. Compute the partial productivity measures for material for quarter 1 and quarter 2. c-1. Have the efficiency improvement programs resulted in greater labor productivity? c-2. Have the efficiency improvement programs resulted in greater material productivity? Req A Complete this question by entering your answers in the tabs below. Quarter 2 42,000 8,400 28,056 Quarter Req B Quarter 1 Quarter…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?
- Given the following for a retail property: This property is occupied by a single tenant: Net Rentable Space 10,000 sq. ft. Lease Rate $18.00 per sq. ft. per year Real Estate Taxes $ 1.75 per sq. ft. per year Operating Expenses $ 0.55 per sq. ft. per year Insurance $ 0.06 per sq. Ii. per year Actual Gross Sales $2,200,000 Base Sales as per Lease $2,000,000 Percentage Lease Clause 4.0% What is the amount of rent due on a per sq. ft. basis (per year) ifthe tenant has a "net net"_ (NN)Jease and a "percentage lease clause" in the lease? Please provide proper keystrokes for the BAii Plus and Gualifier Plus IIIfx calculators. Thank you!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…A manufacturing firm has three plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Customer (requirement) Factory (capacity) Customer 1 (25) Customer 2 (50) Customer 3 (125) Customer 4 (75) A (100) $ 15 $ 10 $ 20 $ 17 B (75) $ 20 $ 12 $ 19 $ 20 C (100) $ 22 $ 20 $ 25 $ 14 Note: This question requires Solver.Formulate the problem in Solver and find the optimal solution. What is the minimum total cost to meet all customer requirements?