The Thor International Company operates four factories that ship products to five warehouses. The shipping costs, requirements, and capacities are shown in thetableau below. Use the transportation method to find the shipping schedule that minimizes shipping cost.Shipping Cost per Case to each WarehouseW2FactoryСарacityW1W3W4W5Dummy$5$5$4$7$0F160,000$4$5$4$6$8$0F280,000$6$5$7$4$5$0F380,000$5$9$6$7$4$0F440,000Demand45,00040,00030,00035,00050,00060,000260,000The minimum shipping cost is S | (Enter your response as a whole number.)

Answered: The Thor International Company operates…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 100P

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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…
For each alternative new plant location, determine the shipping pattern that will minimize total transportation costs. Where should the new plant be located? Plant Capacity (Cases per Week) Warehouse Demand (Cases per Week) Chicago 10,000 Miami 7,000 Houston 7,500 Denver 9,000 New plant 8,000 Lincoln 4,500 Total 25,500 Jackson 5,000 Total 25,500 Shipping Cost to Warehouse (per Case) Plant Miami Denver Lincoln Jackson Chicago $7.00 $2.00 $4.00 $5.00 Houston $3.00 $1.00 $5.00 $2.00 Buffalo (alternative 1) $6.00 $9.00 $7.00 $4.00 Atlanta (alternative 2) $2.00 $10.00 $8.00 $3.00
Suppose there is a transportation model with 4 factories and 6 warehouses. In order to develop an initial solution using the intuitive lowest cost method, do we have to add one or more dummy sources in the transportation matrix, and why?
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…
Formulate the logistics planning problem for an auto parts maker to make it amenable to the application of a planning algorithm such as the POP algorithm discussed in class. The initial state is where a consignment of auto parts has been manufactured and is ready for shipment at the manufacturing facility in Sydney, Australia. The goal state is where the consignment has been delivered to the customer premises in Detroit, USA.
Consider the following transportation decision-making information: Plant Capacity Store Demand A 400 X 200 B 500 Y 250 C 100 Z 300 Total 1000 Total 750 Cost to ship from plant to store (per unit of demand) Plant Store X Y Z A $2 $2 $3.5 B $4 $5 $4.5 C $3 $3 $3 A. Develop the following shipping assignment table that uses the Solver function to find the optimal shipping patterns between the plants and the stores. Plant Store X Y Z A B C B. What is the minimal shipping cost?
Kos Farms processes organic heirloom vegetables from its four processing plants where the vegetables are cleaned and packaged to its four warehouses. The following two tables show the capacities, forecasted demand, and processing and shipping costs. Determine how many cases should be shipped from each processing plant to each warehouse to minimize the total processing and shipping costs.
Transportation Problem (Solve using excel): Acme Block Company has orders for 80 tons of concrete blocks at three suburban locations as follows: Northwood -- 25 tons, Westwood -- 45 tons, and Eastwood -- 10 tons. Acme has two plants, each of which can produce 50 tons per week. Delivery cost per ton from each plant to each suburban location is shown in the attached image. How should end of week shipments be made to fill the above orders?
In May 2023, several empty containers, totaling 20 containers, need to be reallocated among terminals in Amsterdam, Berlin, Munich, Paris, Milan, Barcelona, and Madrid. The available or requested number of empty containers at various terminals is reported, along with the transportation costs (in euros per container) as seen in Figure 1.Determine how to solve the problem with the goal of minimizing transportation costs.Note: "+" denotes supply nodes, and "-" denotes demand nodes.Arrows depict the flow of material and costs.Please provide the mathematical explanation used to solve the question above.
Using the “Transportation Matrix”, solve the transportation problem below using the Northwest Corner and Intuitive Lowest-Cost methods. Use the Northwest Corner method result as the starting point and solve for the optimal solution using the Stepping-Stone method. Show all steps and all calculations when doing the Stepping-Stone method. Plants Supply Destination Demand Kansas City 35 Chicago 30 Omaha 50 St louis 65 Des Moines 50 Cincinnati 40 Total 135 Tons Total 135 Tons transport cost form Plants to Destinations ($/Ton) Plants Chicago St louis Cincinnati Kansas city $ 4.00 $ 3.00 $ 3.00 Omaha $ 6.00 $ 7.00 $ 6.00 Des Moines $ 8.00 $ 2.00 $ 5.00 A. Northwest Corner method B. Intuitive Lowest-Cost method C. Stepping-Stone method
ABC pharmaceutical Company has four factories that ship supplies to four warehouses. The company’s management hires you as a consultant to determine a minimum-cost shipping plan for its monthly output to the warehouses. Factory capacities, warehouse demands, and shipping cost per box are shown below. Factory Supply or capacity (boxes) Warehouse Demand (boxes) Richmond 60 Chicago 100 Santa Fe 80 Jacksonville 90 Austin 120 Huntville 50 Vacaville 90 Fresno 70 Shipping Costs per box (In Dollars) From To Chicago To Jacksonville To Huntsville To Fresno Richmond 35 35 46 60 Santa Fe 65 40 35 25 Austin 50 50 80 90 Vacaville 40 40 66 75 Draw a diagram by showing factories, warehouses, and connecting arcs. Define variables, write the objective function and constraints.
A garment producer has three warehouses W1, W2, and W3. These warehouses have 30, 60, and 70 units of their items. Their five retail showrooms at R1, R2, R3, R4, and R5 need 35, 20, 40, 28, and 12 units respectively. Determine the optimum distribution cost. The transport cost in ($ per unit) between every warehouse and every retail showroom is presented in the below table: Warehouse Retail Showroom R1 R2 R3 R4 R5 W1 55 30 40 50 40 W2 35 30 100 45 60 W3 40 60 95 35 30

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