A regional quality inspector has 16 properties she must visit next month. The driving time from one property to the next is proportional to the straight-line distance between the properties. The X and Y coordinate for each property are given in the following table. Assume the inspector's home is located at X coordinate 509 and Y coordinate 414. (a) a distance matrix that computes the straight-line distance between each pair of properties (including the inspector's home). Round these distances to two decimal places. (b) Suppose the inspector wants to start from her home and visit each property before returning home and wants to do so traveling the least distance possible. Which route should she take and how far will she travel?