A company has five factories. The x- and y-coordinates of the location of each factory are given in the file P07_61.xlsx. The company wants to locate a warehouse at a point that minimizes the sum of...

A company has five factories. The x- and y-coordinates of the location of each factory are given in the file P07_61.xlsx. The company wants to locate a warehouse at a point that minimizes the sum of the squared distances of the plants from the warehouse. Where should the warehouse be located?

For each of the following, answer whether it makes sense to multiply the matrices of the given sizes. In each case where it makes sense, demonstrate an example in Excel, where you can make up the numbers.