East Coast Trucking provides service from boston to Mums using regional offices located in Boston, New York, Philadelphi

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East Coast Trucking provides service from boston to Mums using regional offices located in Boston, New York, Philadelphi

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East Coast Trucking Provides Service From Boston To Mums Using Regional Offices Located In Boston New York Philadelphi 1
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East Coast Trucking provides service from boston to Mums using regional offices located in Boston, New York, Philadelphia, Baltimore, Washington, Richmond, Raleigh, Florence, Savannah, Jacksonville Tanpa and Miami. The number of miles between each of the regional offices and the numbers associated with each city are provided in the following table Boston New York Philadelphia Baltimore Washington Richmond Florence Savannah Jacksonville Tampa Miami 11 EEEEEEEEEE 121 New York Philadelphia 211 320 199 Baltimore Washington Richmond Raleigh Florence Savannah Jacksonville Tampa Miami 424 459 565 713 884 1.056 1,1% 1999 1,009 248 673 985 1,188 1,458 564 1,079 1309 450 975 1,245 425 940 1,210 104 1,104 680 213 104 139 35 354 245 141 106 502 293 299 254 148 319 171 145 736 632 597 491 343 172 870 772 737 483 312 315 343 200 613 473 270 The company's expansion plans involve constructing service facilities in some of the cities where a regional office is located, such that each regional office is within 400 miles of at least one service facity. For tance, if service facility is constructed in Richmond, it can provide service to regional offices located in New York, Philadelphis, Baltimore, Washington, Richmond, Raleigh, Florence Management the in determine the minimum number of service facilities needed and where they should be located (a) Formuliste an integer linear program that can be used to determine the minimum number of service faceties needed and their location (Letx, be the 0-1 variable, which is a service facity is constructed in city, and 0 otherwise.) Min
Boston New York Philadelphia Baltimore Washington Richmond Raleigh Florence Savannah Jacksonville Tampa Miami X1 X2 X3 X4 X5 X6 X7, X8 X9 X10 X11 X12 = 0, 1 (b) Solve the linear program formulated in part (a). How many service facilities are required?
Where should they be located? (Select all that apply.) Boston: New York Philadelphia Baltimore Washington O Richmond Raleigh Florence O Savannah O Jacksonville: O Tampa O Miami (c) Suppose that each service facility can only provide service to regional offices within 300 miles. How many service facilities are required? Where should they be located? (Select all that apply.) Boston New York Philadelphia Baltimore O Washington DRichmond O Raleigh Florence O Savannah Jacksonville Tampa
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