2 This question is concerned with a linear program based on a network that has the following structure of nodes and arcs: 3 XI 5 2 4 For each arc from i to j, there is a capacity Cij . Also for each are we define a variable Lij, representing the flow from i to j, which must satisfy 0 0, where (flow balance) stands for the flow balance constraints defined in (a). What is the common name of the problem that this linear program solves? c: Suppose that we associate a dual variable 1; with the flow balance con- straint corresponding to node i, and a dual variable lij with each con- straint Tij 0, where (flow balance) stands for the flow balance constraints defined in (a). What is the common name of the problem that this linear program solves? c: Suppose that we associate a dual variable 1; with the flow balance con- straint corresponding to node i, and a dual variable lij with each con- straint Tij