There are three existing facilities at P1 = (8,4), P2 = (6,16), and Pz = (12, 10). = 4-1. Now, let's consider the mini-max problem. Please develop the optimization model of the mini-max problem with 1-norm distance. 4-2. In class, we studied that the mini-max optimization model with 1-norm distance can be transformed into linear programming. Please find the objective function and the four constraints related to P2 in the linear programming model