An Italian restaurant chain is planning to open a distribution center to prepare and ship the food ingredients required by five of its restaurants in Germany. The map coordinates and the annual truck-load shipments to each of these restaurants are given in the following table.

1. Determine the best location for the distribution center using the center-of gravity method.

2. Based on your answer to part a), identify the closest town to the map coordinates to locate the distribution center.

3. Is there a better location than the one identified in part b)? If yes, explain.

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Annual Truckload Shipment (in tons) Map Coordinates (x, y) (10, 70) (20, 20) (25, 15) (30, 140) (35, 100) Restaurant Location Frankfurt 150 100 Munich 85 Rosenheim 70 Berlin 45 Dresden