Problem:

Three distribution centers, A, B, and C, are located at the following (X, Y) coordinates: A, (20, 130); B, (180, 0); and C, (200, 200). A factory is to be constructed to distribute a new product through these warehouses. The expected annual volumes expected to be shipped through the three warehouses is forecast to be 20 million units through A, 100 million through B and 50 million through C.

Required:

Question 1) Using the centroid method, approximately what should the coordinates of the new factory be?

Solve the problem and show all work.