Question: Consider the undirected network G = (N, E) in the figure below for the subsequent facility location problems. The demands are indicated in the figure.

Consider the undirected network G = (N, E) in the

Consider the undirected network G = (N, E) in the figure below for the subsequent facility location problems. The demands are indicated in the figure. Assume that every link is 10 unit long. Please clearly define the decision variables, the objective function, and the constraints. You are supposed to enumerate all constraints rather than using generic linkode indices. 20 3 10 b) c) 20 a) Suppose that a facility must be located at a node. Specify the distance function d(x, i) for all x N and all i E N. Formulate the 2-median problem on this network in terms of d(x, i). Suppose that every facility can serve up to 15 units of demand within a distance of 10 units. Develop a formulation to find the minimal number of facilities needed

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