Home-Base, a home improvement and building supply chain, is going to build a new varehouse facility to serve its stores in six North Carolina cities - Charlotte, Winston-Salem, Greensboro, Durham, Raleigh, and Wilmington. The coordinates of these cities (in miles), using Columbia, South Carolina, as the graphical origin (0,0), and the annual truckload trips that supply each store are as follows: Store 1. Charlotte 2. Winston-Salem 3. Greensboro 4. Durham 5. Raleigh 6. Wilmington Coordinate X 15 42 88 125 135 180 y 85 145 145 140 125 18 Truckload trips 150 90 180 150 200 160 (a) Formulate a nonlinear programming model for this problem using Euclidean distance and real-valued decision variables,

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5. Home-Base, a home improvement and building supply chain, is going to build a new
warehouse facility to serve its stores in six North Carolina cities - Charlotte, Winston-Salem,
Greensboro, Durham, Raleigh, and Wilmington. The coordinates of these cities (in miles),
using Columbia, South Carolina, as the graphical origin (0,0), and the annual truckload trips
that supply each store are as follows:
Store
1. Charlotte
2. Winston-Salem
3. Greensboro
4. Durham
5. Raleigh
6. Wilmington
Coordinate
X
15
42
88
125
135
180
y
85
145
145
140
125
18
Truckload trips
150
90
180
150
200
160
(a) Formulate a nonlinear programming model for this problem using Euclidean distance and
real-valued decision variables.
Transcribed Image Text:5. Home-Base, a home improvement and building supply chain, is going to build a new warehouse facility to serve its stores in six North Carolina cities - Charlotte, Winston-Salem, Greensboro, Durham, Raleigh, and Wilmington. The coordinates of these cities (in miles), using Columbia, South Carolina, as the graphical origin (0,0), and the annual truckload trips that supply each store are as follows: Store 1. Charlotte 2. Winston-Salem 3. Greensboro 4. Durham 5. Raleigh 6. Wilmington Coordinate X 15 42 88 125 135 180 y 85 145 145 140 125 18 Truckload trips 150 90 180 150 200 160 (a) Formulate a nonlinear programming model for this problem using Euclidean distance and real-valued decision variables.
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