Consider the following network representation of a transportation problem: Des Moines 25 14 30 Jefferson City 16 Kansas City 15 10 20 Omaha S St. Louis 10 Supplies Demands The supplies, demands, and transportation costs per unit are shown on the network. The optimal (cost minimizing) distribution plan is given below. Des Moines Kansas City St.Louis Supply Jefferson City 20 0 10 30 Omaha 5 15 0 20 Demand 25 15 10 Total Cost: $540. Find an alternative optimal solution for the above problem. If your answer is zero, enter "0". Des Moines Kansas City St.Louis Jefferson City 25 25 5 Omaha 15 15 5 Total Cost: $ 540

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 1,200

Cars-to-Dealers Logistics Inc. is the exclusive logistics provider for the Summit Motor Co. and has responsibilityfor transporting cars from Summit’s 3 manufacturing plants in Toledo, OH; Charlotte, NC and Savannah, GA tothe 7 regional dealer locations as in the tables provided in your dataset. To do this, Cars-to-Dealers uses threetransshipment facilities and all cars in the distribution network pass through these transshipment facilities.Dataset also contains the information about the capacities of each of these transshipment facilities, the demandrequirement at each of the regional dealer locations and the unit cost to ship one car between the variouslocations.In addition to supply of cars (manufacturers) and demand for cars (dealers) there are two types of constraintsfor each transshipment facility:1. Balance flow constraints: dictate that all cars flowing into a transshipment facility should also flow out of thetransshipment facility – i.e. no inventory of cars should remain at…

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a) Define the Transportation model. b) A Power company has three plants that supply the need of three cities. Each plant can supply the following numbers of kWh of electricity. Plants 1, 2 and 3 can supply 30, 40 and 50 million kWh respectively. The demand at City 1, City 2 and City 3 are 20, 40 and 40, respectively. Table 1 shows the cost of sending electricity from each plant to each city depends on the distance the electricity must travel. Table 1: Transportation costs From City 1 City 2 City 3 To Plant 1 10 11 16 Plant 2 8 14 11 Plant 3 7 10 13 Formulate the above problem as a balanced Transportation problem.

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.

The Thor International Company operates four factories that ship products to five warehouses. The shipping​ costs, requirements, and capacities are shown in the tableau below. Use the transportation method to find the shipping schedule that minimizes shipping cost.                                                                                                                                                                           Factory Shipping Cost per Case to each Warehouse Capacity W1 W2 W3 W4 W5 Dummy F1   ​$4   ​$5   ​$4   ​$3   ​$6   ​$0 50,000             F2   ​$3   ​$4   ​$4   ​$5   ​$7   ​$0 80,000             F3   ​$3   ​$4   ​$5   ​$3   ​$5   ​$0 90,000               F4   ​$4   ​$6   ​$5   ​$6   ​$3   ​$0 40,000…

The Thor International Company operates four factories that ship products to five warehouses. The shipping costs, requirements, and capacities are shown in the tableau below. Use the transportation method to find the shipping schedule that minimizes shipping cost. Shipping Cost per Case to each Warehouse W2 Factory Сарacity W1 W3 W4 W5 Dummy $5 $5 $4 $7 $0 F1 60,000 $4 $5 $4 $6 $8 $0 F2 80,000 $6 $5 $7 $4 $5 $0 F3 80,000 $5 $9 $6 $7 $4 $0 F4 40,000 Demand 45,000 40,000 30,000 35,000 50,000 60,000 260,000 The minimum shipping cost is S | (Enter your response as a whole number.)

Adelie Enterprises is exploring a new service to provide weekly delivery of grocery items to homes in the greater Greenwood area. The company’s customers place Web-based orders and Adelie’s team assembles and delivers the orders in specially designed cardboard boxes. Management, interested in locating a supplier that can provide boxes cheaply and efficiently, has discovered that each potential supplier’s ability to satisfy the company’s requirements is influenced by the level of demand. The following table provides Adelie’s vendor selection criteria, criterion weights, and rankings (1–10 with 10 being the highest) under the assumption that low, moderate,or high demand is generated for their service.a. Which supplier should be selected if there is low demand for Adelie’s new service? Which supplier should be selected under moderate demand assumptions? Under high demand assumptions?b. Which supplier is selected if Adelie evaluates each alternative using a Maximin decision criterion (see…

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 4