Solve the problem using least cost method, show total cost.
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- i ABC A.Ş., which produces white goods, has sales centers (X, Y, Z) in 3 cities and production centers (A, B, C) in 3 cities. White goods orders of sales centers200, 100 and 300, respectively; The capacities of the production centers are 150, 175 and 275, respectively. The transportation cost of one product sent from each production center to each sales center is given in the table below. X Y ZA 6 8 10B 7 11 11C 4 5 12In order to meet the demands of each sales center in line with the capacities with the least cost;Build the linear programming model of the problem.(Hint: You can define the decision variable as xij: the amount of product sent from the i. Production center to the j. Consumption center.)given the transportation problem, assume that the demands at the 4 destinations are 5, 5, 7, and 8 units, respectively, and the supplies at the 4 sources are 7, 3, 7 and 8 units, respectively.C₁₁=7ㅤ C₁₂=9ㅤ C₁₃ = 1ㅤ C₁₄ = 10 C₂₁= 22ㅤ C₂₂ = 25ㅤ C₂₃ = 16ㅤ C₂₄ = 26 С₃₁ = 28ㅤ C₃₂ = 32ㅤ C₃₃ = 24ㅤ Сз₄ = 32 C₄₁ = 12ㅤ C₄₂ = 14ㅤ C₄з = 6ㅤ C₄₄ = 16where m=4, n=4what is the optimal solution using vogel's approximation method, least-cost method, and northwest-corner rule?Johan Company produces computers in plants located at towns A, B, and C. Thecomputers are sent to warehouses at different locations U, V, and W. The plants at A,B, and C produce 400, 300, and 300 units of computers respectively each week.Warehouses U, V, and W require 200, 450, and 350 computers respectively. Theshipping costs vary as given below. The company would like to find the minimum costto meet the demands of warehouses.a) Find the initial solution using northwest corner rule method. Town(From) Warehouse(To) Supply Warehouse U Warehouse V Warehouse W Town A RM50 RM40 RM60400 Town B RM30 RM45 RM40300 Town C RM60 RM35 RM30300 Demand 200 450 350 1000
- 1. GIven the table below: Seattle California Las Vegas New Jersey supply Chicago $13 $12 $15 $10 1200 New York $11 $8 $25 $20 1375 Houston $4 $18 $10 $25 896 Georgia $8 $21 $12 $30 600 Kentucky $15 $6 $18 $20 459 Warehouse demand 1000 980 957 1593 a) use the NORTH WEST CORNER RULE model, create a transportation schedule that ensures that the supplies meet the warehouses’ demands b) determine the total transportation cost to the company in doing so.For the linear program Max 4A + 5B s.t. 1A + 2B ≤ 6 7A + 5B ≤ 35 A, B ≥ 0 find the optimal solution using the graphical solution procedure. What is the value of the objective function at the optimal solution? at (A, B) =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
- 1. Consider the following transportation tableau with three origins and three destinations. To From Windhoek Gobabis Walvis Bay Supply Rundu 4 10 6 100 Oshakati 8 16 6 300 Katima Mulilo 14 18 10 300 Demand 200 300 200 Required Marks Sub total Total Use the Vogel Approximation method (VAM) to find an initial feasible solution? 20 20 ToPlease do not give solution in image formate thanku. Warrenia has two regions. In Oliviland, the marginal benefit associated with pollution cleanup is MB = 300 – 10Q, while in Linneland, the marginal benefit associated with pollution cleanup is MB = 200 – 4Q. Suppose that the marginal cost of cleanup is $12 per unit. What is the optimal level of pollution clean in each of the two regions?Oranges are grown, picked and then stored in warehouses in Tampa, Miami, and Fresno.Theses warehouses supply oranges to markets in New York, Philadelphia, Chicago, and Boston.The following table shows the shipping costs per truckload (in hundreds of dollars), supply, anddemand. Because of an agreement between distributors, shipments are prohibited from Miamito Chicago:To (cost, in $100)From New York Philadelphia Chicago Boston SupplyTampa 9 14 12 17 150Miami 11 10 6 10 250Fresno 12 8 15 7 200Demand 110 250 140…
- 2. Unbalanced. Provide the transportation model for the calculation of cost given the following data: Use the Stepping Stone Method to solve the following. Use degeneracy method or dummy method if necessary.FloorsRUs is considering new locations for its manufacturing plants. Costs for constructing a new facility in Huntsville are $1,100,000 and the company estimates that for every product from its new line, there would be an additional cost of $3. If the company were to locate in Hays, the new facility would cost $1,800,000 and each product would incur a $2 incremental cost. The company plans to sell the products to retailers for $7. At what volume is the point of indifference? At what forecasted volumes should FloorsRUs select Huntsville as their new manufacturing location and what volumes should the company select Hays and why?. David’s Sport Supplies is a store that sells sports equipmentand gear for teenagers and young adults. David’s is in the processof assigning the location of storage areas in its warehouse (Figure10-16) to minimize the number of trips made to retrieve neededitems. Given here in Table 10-14 are the departments that needto be located, the number of trips made per week for eachdepartment, and the area needed by each department.
