An ATM is to be located in a campus union building so that it minimizes the distance from the food court, the gift shop, and the theater. They are located at coordinates (2, 2), (0, 6), and (8, 0). Develop a goal programming model to locate the best place for the ATM

What will be an ideal response?


Let x1 = first coordinate of the ATM
x2 = second coordinate of the ATM

Min ? (di+ + di? )

s.t. x1 + d1? ? d1+ = 2
x1 + d2? ? d2+ = 2
x1 + d3? ? d3+ = 0
x2 + d4? ? d4+ = 6
x2 + d5? ? d5+ = 8
x2 + d6? ? d6+ = 0

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