A healthcare company needs to build a set clinics to provide healthcare access for the inhabitants of a given city. A number of potential locations where the clinics could be built have been identified. This example considers a bipartite graph for 4 clinics and 6 regions. The following table illustrates which regions (columns) are covered by each clinic site (rows). Region 2 Region 3 Region 4 Region 5 Region 6 Region 1 Clinic 1 11 1 Clinic 2 1 Clinic 3 Clinic 4 1 The cost to build a cell Clinic at each location site is stated in the following table. Cost (millions of USD) Clinic 1 6.1 Clinic 2 5.2 Clinic 3 5.5 Clinic 4 4.8 If you are asked to find out which locations should the clinics constructed in, so as to serve all the regions at minimum overall cost, write the mathematical formulation of this problem?