2. Jackson Shipping has two supply depots in Atlanta and Dallas. Each can hold 200 shipping pods at a time. Each week, they ship pods to four locations: New York, Los Angeles, Chicago, and Miami. Costs are shown in the table below. New York needs 110 units, Los Angeles needs 120, Miami 75, and Chicago 85 each week. There are shipping limits however, Dallas can only send 30 units to Chicago and Atlanta can only route 40 to Miami. New York Los Angeles Chicago Miami Atlanta 20 70 25 15 Dallas 35 35 15 25 a) What is the standard format for this problem? b) What routes will be shipped and in what numbers to minimize costs?
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- 4. Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. Set up the solution in Excel and solve with Solver. What are total costs?A manufacturer has two shipments to make from Minneapolis to Chicago. Both shipments weigh 8500 pounds. The two shipments can be shipped separately to Chicago at a cost of $2.00 per mile for a total of 409 miles and will take one day for each shipment. The company has a warehouse in Milwaukee where they can consolidate the freight. It would take two LTL shipments at $2.00 per mile to get the freight to Milwaukee for 337 miles and then one full TL shipment from Milwaukee to Chicago at $1.50 per mile for 92 miles. The consolidation cost in Milwaukee is $200 and it takes two days for the trip through Milwaukee. What is the lowest cost to ship the freight and which approach would you select?Suppliers A, B, and C supply components to three plants -- F, G, and H via two transshipment facilities -- T1 and T2. It costs $4 to ship from T1 regardless of final destination and $3 to ship to T2 regardless of supplier. Shipping to T1 from A, B, and C costs $3, $4, and $5, respectively, and shipping from T2 to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. The Logistics Manager has come to you for help. Answer the following question: Which of these is not an element of the objective function? Group of answer choices 4D-T1 600T1 9T2-G 3C-T2 Plz do fast asap
- Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. What is the objective function? Group of answer choices Max Z = $3AD + $3AE + $4BD + $3BE + $5CD + $3CE + $4DF + $4DG + $4DH + $10EF + $9EG + $8EH Min Z = $3AD + $3AE + $4BD + $3BE + $5CD + $3CE + $4DF + $4DG + $4DH + $10EF + $9EG + $8EH Min Z = $3AD + $3BE + $5CD + $3CE…ABC pharmaceutical Company has four factories that ship supplies to four warehouses. The company’s management hires you as a consultant to determine a minimum-cost shipping plan for its monthly output to the warehouses. Factory capacities, warehouse demands, and shipping cost per box are shown below. Factory Supply or capacity (boxes) Warehouse Demand (boxes) Richmond 60 Chicago 100 Santa Fe 80 Jacksonville 90 Austin 120 Huntville 50 Vacaville 90 Fresno 70 Shipping Costs per box (In Dollars) From To Chicago To Jacksonville To Huntsville To Fresno Richmond 35 35 46 60 Santa Fe 65 40 35 25 Austin 50 50 80 90 Vacaville 40 40 66 75 Draw a diagram by showing factories, warehouses, and connecting arcs. Define variables, write the objective function and constraints.Cargo Loading. You are in charge of loading cargo ships for International Cargo Company (ICC) at a major East Coast port. You have been asked to prepare a loading plan for an ICC freighter bound for Africa. An agricultural commodities dealer would like to transport the following products aboard this ship:Commodity Tons Available Volume per Ton (cu.ft.) Profit per Ton ($)1 4,000 40 702 3,000 25 503 2,000 60 604 1,000 50 80You can elect to load any or all of the available commodities. However, the ship has three cargo holds with the following capacity restrictions: Cargo Hold Weight Capacity (tons) Volume Capacity (cu.ft.)Forward 3,000 100,000Center 5,000 150,000Rear 2,000 120,000More than one type of commodity can be placed in the same cargo hold. However, because of balance considerations, the weight in the forward cargo hold must be within 10 percent of the weight in the rear cargo hold, and the center cargo hold…
- Cargo Loading. You are in charge of loading cargo ships for International Cargo Company (ICC) at a major East Coast port. You have been asked to prepare a loading plan for an ICC freighter bound for Africa. An agricultural commodities dealer would like to transport the following products aboard this ship:Commodity Tons Available Volume per Ton (cu.ft.) Profit per Ton ($)1 4,000 40 702 3,000 25 503 2,000 60 604 1,000 50 80You can elect to load any or all of the available commodities. However, the ship has three cargo holds with the following capacity restrictions: Cargo Hold Weight Capacity (tons) Volume Capacity (cu.ft.)Forward 3,000 100,000Center 5,000 150,000Rear 2,000 120,000More than one type of commodity can be placed in the same cargo hold. However, because of balance considerations, the weight in the forward cargo hold must be within 10 percent of the weight in the rear cargo hold, and the center cargo hold…Q: 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) M31. 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
- DM Office Products (DMOP) is a wholesale supplier of office products with one facility in Pennsylvania. They have decided to build a new distribution warehouse in the state of New York to help serve the growing demand in that market. They have four major customers located in Buffalo, Syracuse, Albany, and New York City. Though New York City is the largest market, it also has the greatest competition and DMOP is not a major player there. When DMOP ships an order to a customer they use their own small fleet of two trucks to deliver, so the cost of delivery is essentially the same for a full or partially full truck. The expected number of annual shipments to each city and their coordinates on an x, y grid is shown in the following table. CITY Buffalo Syracuse Albany New York x-COORDINATES 370 1,465 2,345 2,320 y-COORDINATES 895 945 675 70 NUMBER OF SHIPMENTS 96 100 140 80 Use the centroid method to recommend a location for the new warehouse for DMOP (Round your answers to 1 decimal…A company has received a proposal for setting up another warehouse (Warehouse E) with a capacity of 900 units. The location of the warehouse is such that the unit costs of transporting to the six cities are as follows: Hyderabad–45, Mysore–75, Chennai–30, Kochi–65, Pune–90 and Vizag–80. The company would like to know how the allocation will change if the warehouse is made operational and the likely cost impact on the operation of the system.Suppose the company has received a proposal for setting up another warehouse (Warehouse E) with a capacity of 900 units. The location of the warehouse is such that the unit costs of transporting to the six cities are as follows: Hyderabad–45, Mysore– 75, Chennai–30, Kochi–65, Pune–90 and Vizag–80. The company would like to know how the allocation will change if the warehouse is made operational and the likely cost impact on the operation of the system.