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The logistics distribution network for an Australian based electric vehicle manufacturing company consists of three suppliers, two manufacturers, three warehouses, and two retailers. Supplier

 

The logistics distribution network for an Australian based electric vehicle manufacturing company consists of three suppliers, two manufacturers, three warehouses, and two retailers. Supplier capacities and shipping costs per unit (in dollars) from each supplier to each manufacturer are as follows: Supplier China India Thailand Manufacturer Japan South Korea Manufacturer Japan 36 48 58 The shipping costs per unit (in dollars) from each manufacturer to each warehouse are: Singapore 66 58 South Korea 32 44 56 Retaller Melbourne Doncaster Warehouse Malaysia 64 56 Customer demand and shipping costs per unit (in dollars) from each warehouse to each retailer are: Warehouse Melbourne Singapore 26 Malaysia 24 Indonesia Demand 56,000 Retailer 6 Capacity 45,000 33,000 22,000 Shipping costs per unit (in dollars) from each retailer to another are: Melbourne Indonesia Retailer Doncaster 28 26 24 44,000 Doncaster 6 Construct a transportation table for the above four-echelon transshipment problem. Then, formulate the LP model for the problem using the approach discussed in this subject. (Hints: use 51, 52, and $3 to denote the suppliers, use M4 and MS to denote the manufacturers, use W6, W7, and W8 to represent warehouses, and use R9 and R10 to represent the retailers.)

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