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Answer :
Final answer:
The question involves two-dimensional coordinate system and the application of distance formula in a real-world scenario. Use the given coordinates and distance formula to calculate the distance between the two hubs and from each hub to the customer's location. The hub with the smaller distance to the customer should be chosen for shipment.
Explanation:
This question involves the concept of two-dimensional coordinate geometry and distance formula. The distribution hubs can be represented as points on a coordinate plane, where the original hub is at the origin point (0,0). The western hub, which is 6.5 miles north and 3.2 miles west, is represented by the coordinates (-3.2,6.5). The eastern hub, which is 2.1 miles south and 4.7 miles east, is represented by the coordinates (4.7,-2.1). The customer is at the point (0.8,3.3).
For calculating the distance between two points (x1,y1) and (x2,y2) we use the distance formula, √((x2-x1)² + (y2-y1)²). Using this formula, the distance between the western and eastern hubs can be calculated, as well as the distance from each hub to the customer’s location. The hub with the smallest distance to the customer should be the one to ship in order to minimize delivery distance.
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