ACTIVITY: 1. Use the "Least Cost Method or North-West Corner Method" to find the Basic Initial solution and optimal feasible solution in the given transportation table. Destinations Sources D1 D2 D3 D4 Supply A 9. 3 1000 4. 9. 700 10 900 Demand 1000 700 500 400 2600
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- S7.12. The Federal Parcel Service wants to build a new distribution cen- ter in Charlotte, North Carolina. The center needs to be in the vicinity of uncongested Interstate-77 and Interstate-85 interchanges and the Char- lotte-Douglas International Airport. The coordinates of these three sites and the number of weekly packages that flow to each are as follows: 1-77 1-85 Airport X= 14 X= 20 X= 30 y = 30 y = 8 ソ=14 w = 17,000 w = 12,000 W = 9000 Determine the best site location using the center-of-gravity technique.a) Use the Northwest Corner Rule to develop an initial solution. b) Apply the Stepping-Stone Method to find the minimum transportation cost. c) Calculate the total cost for this situation.TRANSPORTATION METHOD: INSTRUCTIONS: Solve for the optimal distribution and cost of transportation using the given problem below. Show all solution. GIR Company received a contract to supply unleaded gasolne to four different locations Project A needs 60,000 iters, Project Bneeds 90,000 liters, Project Oneeds 20,000 liters, and Product D needs 30,000 liters. The company has two depot located in two different places, Depot 1 har 220.000 liters available and Depot 2 has 80,000 sters wal sole. Cost to Transport Project Project B Project C Proxecto 5 7 13 Depot 1 Depot 2 8 6 B B SIMPLEX METHOD: Instruction Detamine the optimal solution Mimiz 50XL -20 X2 Subject to X1 420 X1 X2 248
- 1. Central Construction Company moves materials between three plants and three projects. Project A requires 72 truckloads each week, project B requires 102, and project C requires 41. Plant W can supply 56 loads, plant X can supply 82, and plant Y can supply 77. Using the cost information given in the following table, compute the optimum transportation cost using the stepping stone method. COST INFORMATION From To Project A To Project B To Project C Plant w P 4.00 8.00 8.00 Plant X 16.00 24.00 16.00 Plant Y 8.00 16.00 24.00a. A farmers' cooperative association plans to build a new sugar mill in Georgetown. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The members of the co-op believe that the center-of-gravity method is appropriate for this objective. While there are over 200 sugar cane 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). Village Barney Valley Blue Pasture Congo Valley Bower Rabacca Salem Miles East of Miles North of Sugar Cane Browns Town Browns Town 90 140 20 50 100 10 10 60 70 20 80 120 tonnage 240,000 320,000 450,000 120,000 60,000 140,000La 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
- Assignment Find the initial solution of the given transportation problem using the 3 methods. Suppose a manufacturing company owns three factories (sources) and distribute his products to five different retail agencies (destinations). The following table shows the capacities of the three factories, the quantity of products required by the various retail agencies and the cost of shipping one unit of the product from each of the three factories to each of the five retail agencies. Factories 1 1 2 1 9 24 12 14 33 Requirement 100 60 2 3 Retail Agency 3 13 16 1 50 4 5 35 50 20 1 23 26 50 40 Capacity 50 100 150 300 ✓An elite logistics company want to determine the optimum assignment of its fleet of trucks to deliveryroutes. The objective is to minimize total costs. The costsdata in hundreds of dollars for the various truck-routecombinations are given in the following table. Develop anassignment that will minimize total cost.Route (in U.S. dollars)Truck 1 2 3 4A 9 13 8 5B 10 11 7 6C 12 6 14 9D 8 9 10 121. How has covid night impact air transportation in facilitate the growth and development of international tourism. 2.
- Explain Calculating a Load–Distance Score?Maya ltd. wants to use the Centre of Gravity location technique to determine where to setup itsdistribution centre.I. What is the main objective of using this technique? II. What information will be needed in order to use this technique? III. Setup a numerical example that can be used to demonstrate to the owner of thecompany how the technique can be used. IV. Use the numerical example set up above to demonstrate how the centre of gravitylocation technique is used.Consider the transportation table below for answering question number 21-25. From To Quezon city Bataan Php 7 Visayas Mindanao Php 10 Php 6 Demand 100 Manila Taguig Supply Php 5 Php 9 Php 12|Php 10 150 200 Php 3 Php 14 50 80 220 400 21. Using Northwest Corner Rule, how many must be supplied from Visayas to Taguig? (a) 170 (b) 180 (c) 190 (d) 200 22. Using Northwest Corner Rule, how many must be supplied from Mindanao to Taguig? (a) 45 (b) 50 (c) 55 (d) 60 23. Using Minimum Cost Method, how many must be supplied from Visayas to QC? (a) 200 (b) 210 (c) 220 (d) 230 24. Using Minimum Cost Method, how many must be supplied from Mindanao to Manila? (a) 35 (b) 40 (c) 50 (d) 55 25. Using Vogel's Approximation Method, how many must be supplied from Bataan to Taguig? (a)20 (b) 25 (c) 30 (d) 40