LaRosa Machine Shop (LMS) is studying where to locate its tool bin facility on the shop floor. The locations of the five production stations appear in the figure shown below.

Click on the datafile logo to reference the data.

Station X Y Demand

Fabrication 1.0 4.0 12

Paint 1.0 2.0 29

Subassembly (1) 2.5 2.0 13

Subassembly (2) 3.0 5.0 7

Assembly 4.0 4.0 12

In an attempt to be fair to the workers in each of the production stations, management has decided to try to find the position of the tool bin that would minimize the sum of the distances from the tool bin to the five production stations. We define the following decision variables:

X = horizontal location of the tool bin

Y = vertical location of the tool bin

We may measure the straight line distance from a station to the tool bin located at (X,Y) by using Euclidean (straight-line) distance. For example, the distance from fabrication located at the coordinates (1,4) to the tool bin located at the coordinates (X,Y) is given by

Solve the model developed If required, round your answer to three decimal places.

x= (_____________)

Y=(_____________)