Question: Question #6 (10 points) In many decision problems, we need to determine the shortest (or least costly) route or path through a network from a

Question #6 (10 points) In many decision

Question #6 (10 points) In many decision problems, we need to determine the shortest (or least costly) route or path through a network from a starting node to an ending node. For example, many cities are developing computerized models of their highways and streets to help emergency vehicles identify the quickest route to a given location. Each street intersection represents a potential node in a network, and the streets connecting the intersections represent arcs. Depending on the day of the week and the time of day, the time required to travel various streets can increase or decrease due to changes in traffic patterns. Road construction and maintenance also affect traffic flow patterns. So, the quickest route (or shortest path) for getting from one point in the city to another can change frequently. In emergencies, lives or property can be lost or saved depending on how quickly emergency vehicles arrive where they are needed. The ability to quickly determine the shortest path to the location of an emergency is extremely useful in these situations. The Fast & Furious Sports Car Club of Alabama provides variety of travel-related services to its members, including information on vacation destinations, discounted hotel reservations, emergency road assistant, and travel route planning. 33 hrs L'burg Va Bch 50 hrs 2.0 hrs Kville 20 1.7 hrs 20 hrs 1.5 hrs As the new vice president of the club, you are interested in identifying the route that minimizes the total travel time from Alabama (Birmingham, Node 1) to Virginia (Virginia Beach, Node 11) for your upcoming social gathering. A) Create an LP model in order to identify the route that minimizes the total travel time from Alabama (Birmingham, Node 1) to Virginia (Virginia Beach, Node 11) for your upcoming social gathering. Hint: Clearly describe decision variables for full credit. B) Solve your model using either LINDO or Excel Solver. Clearly explain the model solution by listing the nodes (locations) you need to visit when traveling on the network, from Alabama (Birmingham, Node 1) to Virginia (Virginia Beach, Node 11)

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