Customer Location Freight Car Location A. Milwaukee B. Omaha C. Topeka D. Tucson E. Denver F. Wichita G. Minneapolis H. Memphis L. Kansas City Supply 1. Portland 27 23 23 26 21 29 40 45 23 1,100 2. Fresno 31 26 25 22 20 34 47 43 26 720 3. Long 38 31 32 18 24 27 51 48 34 1,450 Beach 4. Salt Lake 28 18 17 24 9. 20 32 35 19 980 City 5. El Paso 41 27 24 11 18 22 46 30 25 650 6. Houston 38 24 22 16 27 25 41 28 23 1,025 7. St. Louis 8. Chicago 15 14 10 27 23 12 19 10 9. 1,330 12 13 15 31 26 17 14 15 14 1,275 Demand 974 1,225 1,690 710 1,261 663 301 479 1,227

In this problem, your company is a distributor of products. You serve as an inventorymanager for the regional distribution center (DC) here in the Atlanta area. In this role,you schedule the purchase and shipment of products from various suppliers inbound to theAtlanta DC. Once you receive the products at the DC, they are stored in inventory untilthey are picked, packed, and shipped outbound to your company’s downstream customersin response to orders.For each of your products, you currently use a single, dedicated supplier. Each of yoursuppliers ships their products to you from their facility using trucking services, and theyprovide you with choices of different LTL or truckload trucking carriers depending on yourshipment size.Consider managing inventory now for product 101 produced by Supplier A. Currently,you face demand for product 101 of about 200 units per week. Each unit of product 101has a purchase cost p of $500 and you decide to value your inventory at the slightly higherrate…

Explain along with examples related to Freight Traffic Assignment Problems and vehicle routing problem in the logistics activities of manufacturing and service companies! 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. 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.

Waikato Farm Machinery Ltd (‘WFML’), is a well- established business, with the main base of its operations in Te Rapa, Hamilton. Its business is the importation and distribution of farm machinery such as tractors, loaders, diggers, bulldozers as well as farming equipment such as disc ploughs, rotovators, grain silos including machinery used by dairy farmers in milking sheds. The imported equipment is then sold at wholesale prices to smaller businesses in other centres in the Waikato and King Country regions, that on sell them to farmers. WFML has developed a formidable reputation as a supplier of such goods for at least two reasons. First, it imports machinery and equipment of the highest quality such as John Deere tractors from the United States and International Harvester tractors from Germany. Secondly, it has consistently stood by the goods it sells and efficiently attends to any difficulties experienced by retailers such as the repair of any defects. More importantly it is able to…

Please solve this Optimization problem using VAM method manually