Consider the transportation problem having the following data: E. Destination: Source 1 2 3 Demand 1 32 2 4 3 Unit Cost (S) 2 7 4 3 3 3 638 8 2 4 2 5 2 Supply 523 3 a. Draw the network representation of this problem. b. Display the problem on a spreadsheet and then use the Excel Solver to obtain an optimal solution.
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- TRANSPORTATION . Given the following transport. tion matrix where the numbers in the cells represent cost of transporting 1 unit from a specific source to a specific destination, determine the initial solution using the 3 methods and determine the optimum solution by using the initial solution with the lowest value of Z. 3 4 40 35| M M 20 30 From/To 5 6 Dummy | Supply 1 M 100 60 45 M 200 3 12 M 300 4 15 10 300 5 M M 15 300 Demand 300 300 300 | 150 150 1,200A logistics company plans to provide coal logistics transportation services to HY coal sales enterprise. HY coal sales enterprise has coal storage and sales points in B and D, with available coal quantities of 1600t and 8000t, respectively; A and C represents the locations of two coal users, with a demand of 8000t and 1600t respectively. The distribution of relevant locations and travel distances are shown in Figure 1. Based on the above conditions, try to calculate and explain from the perspective of transportation capacity consumption: How should logistics company HY plan transportation routes in order to make them more reasonable? (a transportation route planning scheme needs to be illustrated) . Note:The solution should not be hand written.A farmers' cooperative association plans to build a new sugar mill in Georgetown. Theprimary objective of the mill is to provide the farmers with a place to take their crop forprocessing that will reduce their transportation costs. The members of the co-op believe thatthe center-of-gravity method is appropriate for this objective. While there are over 200 sugarcane farms in the region, they are tightly clustered around six villages. Using the data below,use the center-of-gravity method to calculate the coordinates of the best location for this mill.All mileage references use Browns Town as (0,0).VillageMiles East ofBrowns TownMiles North ofBrowns TownSugar CanetonnageBarney Valley 90 10 240,000Blue Pasture 140 60 320,000Congo Valley 20 70 450,000Bower 50 20 120,000Rabacca 100 80 60,000Salem 10 120 140,000
- J 2 An electronics store wants to identify a location for a warehouse that will ship to five retail stores. The coordinates and annual number of truckloads are given in the accompanying table. Develop a model to find the best location, assuming that straight-line distances can be used between the locations. Experiment with the model by testing each of the possible best solutions, included, to find the best location. Click here to view the data for the store locations and annual numbers of truckloads. Click here to view some possible best solutions. The best location is at____. (Type an ordered pair. Round each coordinate to the nearest integer as needed.)Canning Transport is to move goods from three factories to three distribution centers. Information about the move is given below. Supply 200 Source Destination Demand 50 A 125 125 в 100 Y 150 Shipping costs are: Source 3 9 Destination Y 2 A в 10 6. (Source B cannot ship to destination Z) A. According to the Northwest Corner method, the initial solution would have a total transportation cost of B. According to the Vogel's Approximation Method, the initial solution would have a total transportation cost of C. According to the minimum cell cost method, the initial solution would have a total transportation cost of D. According to the Northwest Corner method, the initial solution would give to cell CIII a loading of E. According to the Vogel's Approximation Method, the initial solution would give to cell Cll a loading of F. According to the minimum cell cost method, the initial solution would give to cell BI a loading ofUsing the grid technique to determine the least-cost location (warehouse) for this problem: Tons Rate X - Coordinates Y – Coordinates S1 200 0.5 2 14 S2 300 0.6 6 10 M1 100 1 2 2 M2 100 2 10 14 M3 100 1 14 18 M4 100 2 14 6 The Grid center coordination is ____ and _____ (round the results to 1 decimal place) Group of answer choices (9.9; 7.8) (5.5; 6.9) (8.7; 10.5) (10.5; 6.4) (9.9; 8.9)
- Given the following transportation tableau-where the numbers in each cell represent transportation costs from the specific source to the specific destination-with supply figures corresponding to each source and demand figures corresponding to each destination: Source A B Demand 1 $22 2.4 2.1 350 Destination 2 3.4 3.2 3.6 400 3 1.9 1.8 2.1 200 Supply 200 300 450 A. According to the Northwest Corner method, the initial solution would have a total transportation cost of B. According to the Northwest Corner method, the initial solution would give to cell B2 a loading of C. According to the Vogel's Approximation Method, the initial solution would give to cell B2 a loading of D. According to the Vogel's Approximation Method, the initial solution would have a total transportation cost of E. According to the minimum cell cost method, the initial solution would give to cell C1 a loading of F. According to the minimum cell cost method, the initial solution would have a total transportation cost…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 costUse the northwest corner method, the minimum-cost method, and Vogel's method to find basic feasible solutions to the transportation problem in Table 73. TABLE 73 20 11 3 6. 5 5 9. 10 10 18 7 1 15 3 3 12 12 a) Find the optimal solution b) Estimate the range of c13 under which the current optimal solution to problem remains optimal. c) Resolve the review problem under the condition that both the capacity of supplier 2 and the demand for customer 2 increase by 2 units. 4-
- Oscar's Bowling, Ic., wants to break into the Phoenix metropolitan market with one of its super-sized 200 lane, 24-hour bowling alleys. It, however, only has enough capital to build one facility. Oscar wants it to be centered by population, as determined by the center of gravity method. The following information is given: City Population x coordinate y coordinate Tempe 285,000 Scottsdale 350,000 10 Chandler 725,000 5 Mesa 300.000 10 1 Glendale 345,000 1 10 a. Where should Oscar build? Oscar should build at an x coordinate of and a y coordinate of . (Enter your responses rounded to one decimal place.)Bindley Corporation has a one-year contract to supply motors for all washing machines produced by Rinso Ltd. Rinso manufactures the washers at four locations around the country: New York City, Fort Worth, San Diego, and Minneapolis. Plans call for the following numbers of washing machines to be produced at each location: New York City Fort Worth San Diego Minneapolis Bindley has three plants that can produce the motors. The plants and production capacities are 105,000 135,000 120,000 Boulder Macon Gary 60,000 70,000 105,000 50,000 Due to varying production and transportation costs, the profit Bindley earns on each 1,000 units depends on where they were produced and where they were shipped. The following table gives the accounting department estimates of the dollar profit per unit (Shipment will be made in lots of 1,000) PRODUCED AT NEW YORK CITY Boulder 14 22 12 Macon Gary SHIPPED TO FORT WORTH 18 26 14 SAN DIEGO 25 14 MINNEAPOLIS 13 14 22 Given profit maximization as a criterion,…Consider the transportation problem having the following data: c) write the algebraic formulation of this problem.