An organization services 12 different areas. It plans to setup tech centers to help its clients with various needs. There are seven possible tech centers (A, B, C, D, E, F, and G) that the organization can use. The organization needs to ensure that each area is covered by at least one tech center. The organization wants to determine the minimum cost. The following shows the proposed tech centers and areas that they would service. The cost per tech center is also shown. 1) Write out the mathematical model for this problem. Be sure to include the objective function, decision variables, and constraints. 2) Setup the binary integer linear programming model in Excel to determine which tech centers should be selected and the total minimum cost involved. Use Solver to find the optimal solution