Using the transportation matrices below. First, solve the transportation problem below using the Intuitive Least Cost method. Then, use the Northwest Corner method to get a feasible starting solution, and apply the Stepping-Stone method to find the optimal solution. Please show all calculations. Plant 1 Plant 2 Plant 3 Demand socyrand Store A 200 3 3 5 Store B 300 5 8 9 Store C 200 200 4 4 7 Supply 100 300 300 700
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- 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.Consider the network below. Formulate the LP model for finding the shortest-route path from node 1 to node 7. Consider the arcs between the transnodes (2-6) as two-way and travel times are shown on the arcs. 18 21 H D38 * 11 14 13 नरें 24 # Paragraph T 5 9 15 Please indicate the model first (objective function and the constraints) below then place into LINDO for optimal solution Indicate the shortest-route path and objective value (distance) below. Show all work for credit 22 BI U www.Which of the following is NOT a method to develop an initial solution to a transportation model? - Group of answer choices - None...all are methods to develop an initial solution - northwest corner method - linear programming - intuitive least cost method
- 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 1,200Consider the transportation problem having the following data: c) write the algebraic formulation of this problem.La Vie Sdn Bhd owns five book cafes and four bakeries. Table 1a shows the location, monthly supply and demand between the bakeries and the cafes. Table 1b provides the transportation cost from the bakeries to the cafes. Determine the minimum cost bearable by the company by applying the North-West Corner method. Optimise the solution using the Stepping Stone Method. Bakery location/ Lokasi bakeri Cheras Sentul Bangsar Kelana Jaya Bakery location/ Lokasi bakeri Cheras Sentul Bangsar Kelana Jaya Monthly supply/ Bekalan bulanan Arissa (RM) 11 7 2 Table la 120 180 100 120 Table 1b La Mere Tiramisu (RM) 15 9 5 5 Cafe / Kafe Arissa La Mere Tiramisu Riviere Mer Solve a Transportation Problem using the > i) The North West Method ii) The Stepping Stone Method (RM) 9 7 7 7 Monthly demand/ Permintaan bulanan Riviere (RM) 7 12 150 120 100 90 60 Mer (RM) 10 14 16 20
- Consider the transportation table below. REQUIRED:(a) Use the Northwest-Corner Method, the Least-Cost Method and the VAM to get the starting feasible solution.(b) Find the optimal solution by considering the smallest value of the objective function computed in (a).Sports of All Sorts produces, distributes, and sells high-quality skateboards. Its supply chain consists of three factories (located in Detroit, Los Angeles, and Austin) that produce skateboards. The Detroit and Los Angeles facilities can produce 350 skateboards per week, but the Austin plant is larger and can produce up to 700 skateboards per week. Skateboards must be shipped from the factories to one of four distribution centers, or DCs (located in Iowa, Maryland, Idaho, and Arkansas). Each distribution center can process (repackage, mark for sale, and ship) at most 500 skateboards per week. Factory/DCs Detroit Los Angeles Austin 1 2 3 Retailers/DCs Just Sports Sports 'N Stuff Iowa The Sports Dude 25.00 35.00 40.00 8 9 4 1 Shipping Costs ($ per skateboard) Iowa 30.00 27.50 Maryland 30.00 25.00 4 45.00 40.00 Skateboards are then shipped from the distribution centers to retailers. Sports of All Sorts supplies three major U.S. retailers: Just Sports, Sports 'N Stuff, and The Sports…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. Sources Distribution Center DC 1 DC 2 DC 3 DC 4 Capacity Plant A $145 $150 $165 $140 2000 Plant B $175 $135 $120 $165 1250 Plant C $113 $156 $134 $148 1250 Demand 1000 1200 1400 900 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.
- 1. Central Construction Company moves materials between three plants and three projects. Project A requires 140 truckloads each week, project B requires 200, and project C requires 80. Plant W can supply 120 loads, plant X can supply 160 , and plant Y can supply 140. Using the cost information given in the following table, compute the optimal transportation cost using the stepping-stone method. Cost Information From To project A To project B To project C Plant W $10 $4 $9 Plant X 6. 5 Plant Y 7 4Q: When we solve the given transportation problem according to the lowest cost method, which warehouse and/or warehouses are suitable for shipment from f3 (F: Factory M: Customer)A) no needb) M1, M2, M3c) M1 and M2d) M3 and M1E) M3(2) Find an optimal solution for the following transportation problem. Town To Valley FROM Madison (M) Yonkers (1) Pittsburgh (P) Demand FROM Madison (M) Yonkers Pittsburgh FROM 3.50 Madison (M) Yonkers FROM $8 350 Madison (M) Yonkers (1) Pittsburgh $5 SIS 350 Valley (5) $8 $5 $15 Using the Stepping-Stone method to find an optimal plan. Tol Valley Town Junction (7) $8 Pittsburgh Demand 350 Part (a) Find the new TC= $5 $15 50 350 The above feasible plan is obtained by applying the Northwest Corner Rule (e.g., 300 from M to V, etc.), and its total cost = 350($8) +50($10)+150($12) +250($4)+200($11) +250($14) = $11.800, 150 $8 200 $5 The improvement indices below are determined as follows: Supply row M first, then sows Y and P) MJ: 9-4+12-10-2 400 MB: 6-11+12-10=-3 rv: 5-12+10-8-5 600 PP: 15-14+11-12-10-8-2 PT: 6-14+11-12- PA 11-14+11-4-4 Demand 350 200 the "most negative index" We focus on cell PT (index=-9). Its closed path is: PT to PB to YB to YT, and back to PT. To increase the…