You are tasked with investigating the energy infrastructure of ElectriCity. The energy grid consists of 12 components: one power plant, one transformer, six customers, two converters, and two substations. All components are wired together using 110, 140, 200 and 400kV wires, as depicted in Figure 1. The voltage capacity adjacency matrix is given in Table 3. (a) Recall that the minimal cut problem finds the set of arcs with minimum total capacity whose removal will prevent flow from the source to the sink. Consider a graph G=(N,A), with source sN, sink tN, and arc capacities bij for (i,j)A. The mathematical formulation of the minimal cut 2 Introduction to Operations Research - 20222023 problem is given by: min(i,j)Abijwij