A company has three retail stores. located at the points (0, 0), (2, 2) and (-2, 2) (see the figure). The management plans to build a localized distribution center for such that the sum S of the distances from the center to the stores be minimal. From the symmetry of the problem it is clear that the center of distribution will be located on the y-axis, and therefore S is a function of a variable y. Using the techniques presented in the chapter 3, calculate the value of y required

(2, 2) (-2, 2) 2 d 2 d 1 X -3 -2 (0, 0) 1 2 -2+ Figura para 20