Solution of a Transportation Problem Example. Determine an initial basic feasible solution of a transportation problem using Least cost method or matrix minima method. From D E F To 300 Requirement 5 8 9 B 200 0. 4 4 7 C 100 JOD 3 5 Capacity 1000V 300 260 300 O M = 8 n=3 700 3060 2000 2006 Total Cost: (300 * 9) + (200 x 4) + (100 x3) + (100 x 3) = 4,100 (MAN)- =(3+3). S
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- Using the the 3 methods: Vogel's Approximation Method, Northwest Corner Method and Minimum Cost Method what is the total transportation cost per method?Given the following cost information, solve for the optimal transportation cost: Use MODI Method At the third solution, what is the value of R3? At the third solution, what is the value of K3? How much is the cost of the third solution?Travelling Salesman Problem (TSP); Given the following distance matrix, use the nearest neighbor (NN) heuristic to find a route that starts from the warehouse (W), visits each customer only once, and finishes at the warehouse to minimize the distance traveled. What is the route and the corresponding distance? Distances W 1 2 3 4 in miles 18 57 27 50 18 0 65 29 61 57 65 0 36 99 3 27 29 36 0 76 4 50 61 99 76 Route=W-1-3-2-4, Distance=182 miles Route=W-3-1-2-4-W, Distance=270 miles Route = W-3-1-2-4, Distance=220 miles Route=W-1-3-2-4-W, Distance=232 miles Route=W-1-3-4-2, Distance=272 miles 1, 2.
- A. An Electrical Company has three workshops in Koforidua, Accra and Kumasi. These workshops produce the following quantities of electric fan. Workshops Monthly production (units) Koforidua 130 Аccra 70 Kumasi 100 The monthly demand for these fans in three towns: Sunyani, Cape Coast and Ho is given below: Destination Weekly Demand (units) Sunyani 80 Саре Сoast 110 Но 60 The unit transportation costs per unit (in GH¢000) from the sources to the destinations are as shown: To From Sunyani Саре Сoast Но Koforidua 9. 14 12 Accra 11 10 6. Kumasi 12 15 00eBook Problem 10-31 A long-distance telephone company uses a fiber-optic network to transmit phone calls and other information between locations. Calls are carried through cable lines and switching nodes. A portion of the company's transmission network is shown here. The numbers above each arc show the capacity in thousands of messages that can be transmitted over that branch of the network. To keep up with the volume of information transmitted between origin and destination points, use the network to determine the maximum number of messages that may be sent from a city located at node 1 to a oty located at node 7. 3 Maximum number of messages -Explain how to determine the number of variables and constraints in a transportation problem when only the number of sources and the number of destinations are known. Be sure to provide examples to illustrate your understanding of these concepts.
- 9. How do air carriers price their services? Is the weight or density of the shipment a factor? Explain this factor as part of your answer. How does air carrier pricing relate to the value of the goods being transported? 10. What are the current issues facing the air industry? Discuss how each impacts the industry, its customers and employees? 11. What is the cost structure of the air industry? How does it compare with others modes? How does this affect pricing, particularly passengers? Be sure your answer includes examples from either advertising or the Internet.The creation of the has resulted in and O U.S. land bridge, greater price reductions, faster deliveries, and less risk from perils of the sea. O U.S. land bridge, greater shipment safety, faster deliveries, and less risk from government restrictions on imports O U.S. interstate highways, greater shipment safety, faster deliveries, and less risk from perils of the sea. O U.S. land bridge, greater shipment safety, faster deliveries, and less risk from perils of the sea.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
- Mark Ewing has decided to enter contract with uber service provider in his area. The driver offers a car variety of mileage or distance to be travelled to him. All contracts were to be signed for three years. The first option has a monthly rent of P3,000, with a total mileage allowance of 36,000 kilometers (an average of 12,000 kilometers per year) and a cost of P35 per kilometer for any kilometers over 36,000. The following table summarizes each of the Uber Service Contract offered to him: 3-Year Contract Monthly Cost Mileage Allowance Cost Per Excess Kilometer Option A P3,000 30,000 P 35 Option B P3,500 45,000 P 25 Option C P4,000 54,000 P 15 Mark has estimated that, during the 3 years of the agreement, there is a 40% chance he will drive an average of 12,000 kilometers per year, a 30% chance he will drive an average of 15,000 miles per year, and a 30% chance that he will drive 18,000 miles per year. In evaluating the options, Mark would…(b)Consider a transportation model with m sources and n destinations. Describe briefly how you can resolve the following situations while solving the problem: (i) Total supply is greater than total demand,The Bright Company wants to figure out the best way to ship their new product, Flying Widgets, from their factories through their warehouses to their retail outlets. They would like to set up a Transhipment table so they can use POM to find the least cost shipping routes. They have hired you to set up the Transhipment table based on the information below. You will be paid handsomely if you can come up with the correct table. Shipping Costs Shipping Costs 01 02 03 04 Wi W2 W3 W1 4. 2 F1 4 W2 4 F2 4 2 W3 4. 3. 4. Also, Flying Widgets can be shipped from Factory 1 to Factory 2 for $3 per unit. Factory 1 can produce 300 units and factory 2 can produce 100 units. Outlet 1 demand is 50 units, Outlet 2 is 150 units, Outlet 3 is 100 units, and Outlet 4 is 100 units.