Problem #3 (20 points) Consider the problem of locating a new machine to an existing layout considering the position of four 3 machines. These machines are located at the following coordinates of a plane: and 0:(3):6.) , . Let the coordinates of the new machine be Formulate the problem of finding an optimal location for the new machine as a LP given that the objective is to minimize the sum of the distances from the new machine to the four existing machines. X1 Use the "street" distance (rectilinear norm); for example, the distance from to the first machine X2 located at ) is 11 3 | +/X2 . In your LP formulation, clearly define the decision variables, and state the objective function and constraints with proper justification. Be sure that your LP is written in explicit form. Don't solve