Question: Problem 3. (30 points) Let G = (V, E) be un undirected graph, whose nodes represent the cities, which need to be patrolled by Crime

Problem 3. (30 points) Let G = (V, E) be un

Problem 3. (30 points) Let G = (V, E) be un undirected graph, whose nodes represent the cities, which need to be patrolled by Crime watch police units. The units are located on the nodes of the graph. There are two types of units: fixed and mobile. A fixed unit located at node i patrols only that city. A mobile unit at node i can defend the city (node) i and all the neighboring cities. Every fixed unit has a cost of 2 while a mobile unit costs 3. The goal is to defend all the nodes of the graph at the minimum cost. Formulate an integer LP to solve the problem. Problem 3. (30 points) Let G = (V, E) be un undirected graph, whose nodes represent the cities, which need to be patrolled by Crime watch police units. The units are located on the nodes of the graph. There are two types of units: fixed and mobile. A fixed unit located at node i patrols only that city. A mobile unit at node i can defend the city (node) i and all the neighboring cities. Every fixed unit has a cost of 2 while a mobile unit costs 3. The goal is to defend all the nodes of the graph at the minimum cost. Formulate an integer LP to solve the

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