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Assume that we have n customers in a plane, each with known coordinates (xi, Yi), i = 1,..., n. We want to find coordinates (x, y) to open a store, so that the sum of the distances from (, y) to each of the points (xi, yi) is minimized. Formulate this problem as a nonlinear optimization problem.

Assume that we have n customers in a plane, each with known coordinates (xi, Yi), i = 1,..., n. We want to find coordinates (x, y) to open a store, so that the sum of the distances from (, y) to each of the points (xi, yi) is minimized. Formulate this problem as a nonlinear optimization problem.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Assume that we have n customers in a plane, each with known coordinates (xi, yi), i = 1,...,n. We want to find coordinates (x, y) to open a store, so that the sum of the distances from (x, y) to each of the points (xi, y₁) is minimized. Formulate this problem as a nonlinear optimization problem.
Transcribed Image Text:1. Assume that we have n customers in a plane, each with known coordinates (xi, yi), i = 1,...,n. We want to find coordinates (x, y) to open a store, so that the sum of the distances from (x, y) to each of the points (xi, y₁) is minimized. Formulate this problem as a nonlinear optimization problem.
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