1. In Table 1, the locations of eight existing facility units and their weights are given. a. (10 pts) Solve the minisum location problem to determine the location of a new repair show to serve all these existing facilities. b. (10 pts) Solve the minimax location problem to determine the location of a fire department to serve all existing facilities and the new repair shop considered in part a. c. (15 pts) Now assume two fire stations will be placed, but the coordinates should be an integer (indicating the central locations in a grid partition). Formulate a linear programming model that can be used to find the locations of the new fire stations