The next diagram depicts a system of aqueducts that originate at three rivers (nodes R1, R2, and R3)and terminate at a major city (node T), where the other nodes are junction points in the system.FromR1R2R3R1R2ΤοR3ABUsing units of thousands of acre feet, the tables below show the maximum amount of water that can bepumped through each aqueduct per day.ToDABC From130 115 -A70 90 110B140 120CEFTDEFDEF FromD110 85 -130 95 85130 160 FToT220330240The city water manager wants to determine a flow plan that will maximize the flow of water to the city.a) Formulate this problem as a maximum flow problem by identifying a source, a sink, and thetransshipment nodes, and then drawing the complete network that shows the capacity of each arc.

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Answered: The next diagram depicts a system of…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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…
Briefly discuss the Nine dot problem. How did they come up with a solution?
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Explain along with examples related to Freight Traffic Assignment Problems and vehicle routing problem in the logistics activities of manufacturing and service companies! Solve the following case study using the transportation method: Suppose there is a manufacturing company that produces and distributes its products to various customer locations across the country. This company has three production plants (Plant A, Plant B, and Plant C) located in different locations, and there are also five distribution centers (DC 1, DC 2, DC 3, DC 4, and DC 5) scattered across various regions. The company's goal is to determine the most efficient transportation routes for delivering products from the plants to the distribution centers, considering transportation costs and available capacities.
allons of deionized water from each wholesaler to each distribution center is shown in the following table: Question Viewer a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true? B. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center is needed. C. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed. b. What is the total cost of the solution? The optimal cost is $ ((Enter your response rounded to the nearest dollar.)
14
The Rae Mischel Company expanded its shipping capacity and the additional cost of doing this from each warehouse to terminal is highlighted in the following table. Determine theminimum cost to ship from each warehouse to terminal.
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A company has three existing warehouses to which it will ship furniture from a new factory whose location must be decided. The factory will receive raw materials from its wood supplier and fabric supplier. The annual number of shipments, shipment costs and the location of the suppliers and warehouses are shown below Existing facilities Annual L to or from fact cost Coordinate location Wood supplier 120 10 (100, 400) Fabric supplier 200 10 (800,700) Ware h 1 61 10 (300, 600) Ware h 2 40 10 (200, 100) Ware h 3 70 10 (600, 200) Using the median load answer the following questions –Where the factory should be located to minimize annual transportation cost –What will be the minimum annual transportation cost
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