Question: The following map shows the 8 intersections at which automatic tra_c monitoring devices might be installed. A station at any particular node can monitor all

The following map shows the 8 intersections at which automatic tra_c monitoring devices might be installed. A station at any particular node can monitor all the road links meeting that intersection. Numbers next to nodesreflect the monthly cost (in thousands of dollars) of operating a station at that location. (a) Provide a complete algebraic formulation providing full coverage at minimum total cost. (7 points) (b) Implement the model in Excel, and discuss the optimal solution. (15 points) (c) Revise your formulation of part (a) to obtain an ILP minimizing the number of uncovered road links while using at most 2 stations. Implement the changes in excel. (10 points)

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