Use this problem statement to answer the following three questions. A manufacturer of Golf Carts is looking to locate a new assembly facility in the southeastern US. Parts will be purchased in bulk from suppliers in Starkville and Jackson in the quantities shown in the following table (in Tons). The assembly plant would ship to distribution centers located in Baton Rouge and Biloxi. The locations of all of these cities on an x-y grid, outbound transportation costs on a ton per mile basis, and total tonnage are all contained in the table. (Show your work to receive full credit) Sources/Markets Transportation Cost $/ton mile (Fn) Quantity in Tons (Dn) Xn Yn Supply         Starkville 2.3 6,000 530 270 Jackson 2.5 4,000 500 160 Market         Baton Rouge 4.2 5,500 270 40 Biloxi 4.5 4,500 620 40

Use this problem statement to answer the following three questions. A manufacturer of Golf Carts is looking to locate a new assembly facility in the southeastern US. Parts will be purchased in bulk from suppliers in Starkville and Jackson in the quantities shown in the table below (in Tons). The assembly plant would ship to distribution centers located in Baton Rouge and Biloxi. The locations of all of these cities on an x-y grid, outbound transportation costs on a ton per mile basis, and total tonnage are all contained in the table. (Show your work to receive full credit)

(a) Formulate a Gravity model that will minimize the shipping costs to the assembly facility. Provide model with inputs/variables clearly defined either in Canvas or on your scratch paper. Please answer “model in scratchwork” if you are submitting the model in your scratchwork. 

(b) Calculate the distance between each supply/market facility and the assembly facility located at x=497.2, and y=146.8. Round to the nearest whole number. Sources/Markets Transportation Cost $/ton mile (Fn) Quantity in Tons (Dn) Xn Yn dn Supply           Starkville 2.3 6,000 530 270 [d1] Jackson 2.5 4,000 500 160 [d2] Market           Baton Rouge 4.2 5,500 270 40 [d3] Biloxi 4.5 4,500 620 40 [d4]

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