24. Powerco has three electric power plants that supply the needs of four cities. Each power plant can supply the following KWH of electricity: Plant 1-500 million; Plant 2- 700 million; Plant 3- 800 million. The peak power demands (in KWH) in the four cities, which occur at the same time (2 p.m.), are as follows: City 1-400 million; City 2-900 million; City 3- 200 million; City 4- 500 million. The cost of sending 1 million KWH from a plant to a city depends on the distance the electricity must travel, and is given in the following table (in $). Solve this problem as a transportation problem. Plant \ City 1 2 3 4 1 12 13 4 4 10 11 10 9. 12 4
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- Macon Controls produces three different types of control units used to protect industrial equipment from overheating. Each of these units must be processed by a machine that Macon considers to be their process bottleneck. The plant operates on two 8-hour shifts, 5 days per week, 52 weeks per year. The table below provides the time standards at the bottleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations manager obtained three demand forecasts (pessimistic, expected, and optimistic). The manager believes that a 25 percent capacity cushion is best. i Demand Forecast Component A B C Time Standard Processing (hr/unit) 0.04 0.20 0.05 Setup (hr/lot) 1.0 4.4 8.5 Lot Size (units/lot) 50 75 100 Demand Forecast Pessimistic Expected 16,000 17,000 10,000 12,000 18,000 24,000 a. How many machines are required to meet minimum (Pessimistic) demand, expected demand, and maximum (Optimistic) demand? (Enter your responses rounded up to the next…Macon Controls produces three different types of control units used to protect industrial equipment from overheating. Each of these units must be processed by a machine that Macon considers to be their process bottleneck. The plant operates on two 8-hour shifts, 5 days per week, 52 weeks per year. The table below provides the time standards at the bottleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations manager obtained three demand forecasts (pessimistic, expected, and optimistic). The manager believes that a 30 percent capacity cushion is best. Time Standard Demand Forecast Setup (hr/lot) Lot Size Processing (hr/unit) Component Pessimistic Expected Optimistic (units/lot) A 0.05 1.0 50 16,000 16,000 27,000 В 0.30 4.6 80 11,000 12,000 17,000 C 0.05 8.3 100 16,000 23,000 35,000 a. How many machines are required to meet minimum (Pessimistic) demand, expected demand, and maximum (Optimistic) demand? (Enter your responses rounded up…Macon Controls produces three different types of control units used to protect industrial equipment from overheating. Each of these units must be processed by a machine that Macon considers to be their process bottleneck. The plant operates on two 8-hour shifts, 5 days per week, 52 weeks per year. The table below provides the time standards at the bottleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations manager obtained three demand forecasts (pessimistic, expected, and optimistic). The manager believes that a 25 percent capacity cushion is best. D Demand Forecast Component A B C Time Standard Processing Setup (hr/unit) (hr/lot) 0.04 1.0 0.20 4.4 0.05 8.5 Lot Size (units/lot) 50 75 100 Demand Forecast Pessimistic Expected Optimistic Pessimistic 16,000 10,000 18,000 a. How many machines are required to meet minimum (Pessimistic) demand, expected demand, and maximum (Optimistic) demand? (Enter your responses rounded up to the next…
- The chairperson of the department of management at Tech wants to forecast the number of students who will enroll in operations management next semester in order to determine how many sections to schedule. The chair has accumulated the following enrollment data for the past 15 semesters: Using 2 Semester Weighted moving average compute the forecasted number of student for semester 16 the weight are 4 for the most recent semester and 2 for the older one. Semester Students Enrolled in OM 1 270 2 310 3 250 4 290 5 370 6 410 7 400 8 450 9 440 10 470 11 520 12 515 13 525 14 542 15 503Southern Sporting Goods Company makes basketballs and footballs. Each product is produced from two resources-rubber and leather. The resource requirements for each product and the total resources available are as follows: Product Resource Requirement per Unit Rubber (lb.) Basketball 4 Football 5 Total Resources available 500 lb. 800 ft.2 * Each basketball produced results in a profit of $12, and each football earns $16 in profit. b. Transform this model into standard form Leather (ft.2) 3 2 a. Formulate a linear programming model to determine the number of basketballs and footballs to produce in order to maximize profit.Foodie Goodie is a small food processing plant. It produces three kinds of snacks: sunflower seeds, peanuts and broad beans. The plant’s production capacity is as follows: • if all the equipment produces sunflower seeds, it can produce 6 kg a day; • if all the equipment produces peanuts, it can produce 5 kg a day; • if all the equipment produces broad beans, it can produce 3 kg a day. Production is planned on a weekly basis (i.e., 5 working days), and the output of the week must be stored before delivery. It takes • 1.8 litres of space to store 1 kg of sunflower seeds; • 1.9 litres of space to store 1 kg of peanuts; • 1.3 litres of space to store 1 kg of broad beans. The total storage space available is 100 litres. Due to a commercial agreement with a restaurant, Foodie Goodie must deliver at least 5 kg of broad beans every week. The marketing department estimates that the weekly demand for sunflower seeds, peanuts and broad beans does not exceed 11 kg, 15 kg and 8 kg, respectively, so…
- (Use output ranges of 2000, 4000, 6000, 8000 etc. and intervals of $50,000 on the Y axis. Output X Location A Location B Location B Location D 2 000 120 000 120 000 130 000 150 000 4 000 180 000 160 000 160 000 170 000 6 000 240 000 200 000 190 000 190 000 8 000 300 000 240 000 220 000 210 000 10 000 360,000 280 000 250 000 230 000 12 000 420 000 320 000 280 000 250 000 14 000 480,000 360 000 310,000 270 000 16 000 540 000 400 000 340 000 290 000 18 000 600 000 440 000 370 000 310 000 20 000 660 000 480 000 400 000 330 000 Over what range of output is location A the most preferred location? 2. Over what range of output is location B the most preferred location? 3.Over what range of output is location C the most preferred location?(a) Mohawk Valley Furniture Warehouse has purchased a retail outlet with six departments (A, B, C, D, E, and F), as shown below. The anticipated number of customers that move between the departments each week is given as follows: 70 and 50 customers move from department A to department B and F respectively; 100 customersmove from department B to department E; 70 customers move from department C to department B; 80 customers move from department D to department C; 40 and 30 customers move from department E to departments A and F respectively; and 60 and 100 customers move from department F to departments B and E respectively. The initial layout is given in the matrix below. (i) Construct the load summary chart for Mohawk's layout.) (ii) Evaluate the current layout in terms of non-adjacent loads.Excellent Co. Ltd was incorporated in 2001 and has currently 4 zones (namely, North, South, East, and West) open and 4 supervisors available for assignment. It is estimated that a typical supervisor operating in each zone would bring in the following annual turnover: North: 126,000; South: 105,000; East: 84,000; West: 63,000 The 4 supervisors are also considered to differ in supervisory competencies. It is estimated that working under the same conditions, the company’s yearly turnover would be proportionately as follows: Supervisor I: 7; Supervisor II: 5; Supervisor III: 5; Supervisor IV: 4 How should the company allocate the best supervisor to the various zones in order to maximize its total annual turnover? [5]
- A gold mining area in Lanao contains on average, 1 ounce of gold per ton. Two methods of processing are available; method A costs ₱1.5 M per ton and recovers 90% of gold; method B cost ₱1.3M per ton and recovers 80% of the gold. If gold can be sold for ₱2.4M per ounce, which method is better and by how much?2. As part of a quality improvement initiative, Consolidated Electronics employees complete a three-day training program on teaming and a two-day training program on problem solving. The manager of quality improvement has requested that at least 8 training programs on teaming and at least 10 training programs on problem solving be offered during the next six months. In addition, senior-level management has specified that at least 25 training programs must be offered during this period. Consolidated Electronics uses a consultant to teach the training programs. During the next quarter, the consultant has 84 days of training time available. Each training program on teaming costs $10,000 and each training program on problem solving costs $8000. a. Formulate a linear programming model that can be used to determine the number of training programs on teaming and the number of training programs on problem solving that should be offered in order to minimize total cost. b. Determine the optimal…A gold mining area in Lanao contains on average 1 ounce of gold per ton. Two methods of processing are available; method a cost 1.5m per ton and recovers 90% of gold: method b cost 1.3m per ton and recovers 80% of the gold. If gold can be sold for 2.4m per ounce which method is better and by how much