A minimum-cost flow problem has 6 supply nodes, O transshipment nodes, and 4 demand nodes. If each supply node can ship to every demand node, how many arcs will be included in the model? Number of arcs
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- The Maytubig Water Company purifies drinking water in Luzon and Mindanao, which it plans to distribute to typhoon-hit areas in Tacloban, Ilo-ilo, Ormoc, Northern Cebu, and Eastern Samar. The Luzon filtering plant is expected to produce 85,000 liters and the Mindanao filtering plant is expected to produce 50,000 liters a week. These are estimated weekly water requirement according to DSWD: WHOLESALER LITERS OF PURIFIED WATER Tacloban Ilo-ilo Ormoc Northern Cebu Eastern Samar O None of the above Here is the cost of shipping 1,000 liters of purified drinking water from each filtering plant to each affected area: PLANT WHOLESALER COST Luzon Tacloban P 20 Luzon llo-ilo 30 Luzon Ormoc 50 Luzon Northern Cebu 60 Luzon Eastern Samar 35 Mindanao Tacloban 50 Mindanao Ilo-ilo 60 Mindanao Ormoc 20 Mindanao Northern Cebu 30 Mindanao Eastern Samar 70 The distribution cost for the optimal solution is: OP 3,250,000 OP 3,275,000 OP 3,325,000 45,000 25,000 40,000 OP 3,430,000 12,000 20,000The following network describes a transportation scenario in which there are four sources A, B, C, and D, and three destinations P, Q, and R. (The numbers next to each arrow represent the cost of transporting one unit from that particular source to the destination located at the other end of that arrow). Write the mathematical formulation of the problem. Use the Excel Solver to solve the problem. Generate the answer and sensitivity reports in Excel, and submit your Excel workbook as a separate attachment. Provide the solution obtained in the space provided. What is the optimal cost of transportation?a company's business model was to operate through its facilities- Vancouver, Calgary, Winnipeg, Toronto(ontario), ottawa, Montreal and Halifax. Supply comes from South America, southeast Asia, and Florida. the company was shipping first to Toronto and then to each facility at a total cost of $23095.5 per week. The company is considering the possibility of opening a logistics facility in Miami. Toronto and Vancouver were already available as transshipment centres. What would be the cost savings if Miami centre was opened and what would be the optimal shipment plan?
- Mazoon, a four-wheeler company, is a leading company in Shalala manufacturing chassis of bus/lorry, in 300 acres of land with 200 employees. The annual production capacity of the plant is 40,000 chassis. The market research department projected its future demand to be 1.5 times the present capacity of the plant. So, the company took a decision to set up another plant in Nizwa with a capacity of 100,000 chassis. It is in the process of procurement of the required land of 800 acres. The projected number of employees in the new factory would be 1,000. The productivity of any company mainly depends on the type of layout that is used to carry out the activities to produce the product. So, the industrial engineering department of the exiting company is given the task of design the right type of layout for the new company. All the sections of the automobile company will not have the same type of layout. The final assembly of chassis is done on a powered conveyer belt. This part of the company…Please answer the question as quickly as possible A toy company has developed two new toys for possible inclusion in its product line for the upcoming Christmas season. Setting up the production facilities to begin production would cost $50,000 for toy 1 and $80,000 for toy 2. Once these costs are covered, the toys would generate a unit profit of $10 for toy 1 and $15 for toy 2. The company has two factories that are capable of producing these toys. However, to avoid doubling the start-up costs, just one factory would be used, where the choice would be based on maximizing profit. For administrative reasons, the same factory would be used for both new toys if both are produced. Toy 1 can be produced at the rate of 50 per hour in factory 1 and 40 per hour in factory 2. Toy 2 can be produced at the rate of 40 per hour in factory 1 and 25 per hour in factory 2. Factories 1 and 2, respectively, have 500 hours and 700 hours of production time available before Christmas that could…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.
- 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.Formulate a linear program using LP Model Formulation. Miguel hauls mangoes between Manila mango plantation and packing plants in Clark. Miguel’s schedule this week calls for 500 boxes with locations and costs as follows.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
- Your fast-food outlet, Burger Queen, has obtained a license to open branches in three closely situated South African cities: Brakpan, Nigel, and Springs. Your market surveys show that Brakpan and Nigel each provide a potential market of 2,500 burgers a day, while Springs provides a potential market of 1,000 burgers per day. Your company can only finance an outlet in one of those cities at the present time. Your main competitor, Burger Princess, has also obtained licenses for these cities, and is similarly planning to open only one outlet. If you both happen to locate at the same city, you will share the total business from all three cities equally, but if you locate in different cities, you will each get all the business in the cities in which you have located, plus half the business in the third city. The payoff is the number of burgers you will sell per day minus the number of burgers your competitor will sell per day. Set up the payoff matrix. O a. Your Competitor B N S Вг 1,5001…A bank has its head office in the financial district in the middle ofa city. A bank has six branches, three in the north of the city and threein the south all 5 km from the centre and spaced 3 km apart. The bankwishes to link all its branches via private leased lines but mustdecide between providing an individual line to each branch via anumber of inter-branch links and a smaller number of multiplexed linesto the centre. If a modem costs £100, a multiplexer/demultiplexercosts £200 and leased lines cost £100 per km per year to rent, suggesta design that will yield the most cost effective solution if theinstallation is to remain in operation for four years. 1st option is - link all branches by providing individual line to each branch via a number of inter branch links to the centre. 2nd option is - link all branches by providing smaller number of multiplexed lines to the centre Please calculate both options and choose the most cost effective solution for four years?13.2 A company manufactures component parts for machine tools in North America and ships them to Southeast Asia for assembly and sale in the local market. The components are shipped by sea, transit time averages 6 weeks, and the shipping costs $2700 per shipment. The company is considering moving the parts by air at an estimated cost of $7500; the shipment taking 2 days to get there. If inventory in transit for the shipment costs $125 per day, should they ship by air?
