Question: Please answer my question quickly if you can answer it in less that 30 minutes. I PROMISE I will give thumbs up This is operation

Please answer my question quickly if you can answer it in less that 30 minutes. I PROMISE I will give thumbs up

This is operation research course

Sarah and Jennifer have just graduated from college at the University of Washington in Seattle and want to go on a road trip. They have always wanted to see the mile-high city of Denver. Their road atlas shows the driving time in hours) between various city pairs, as shown below. Formulate a network optimization model to find the quickest route (shortest path) from Seattle to Denver? Searde Butte 10 Billings 4 7 Portland Boise 12 0 12 Cheyenne 1 Salt Lake City Grand Junction Denver State the corresponding Linear programming (LP) formulation for this shortest path problem? (a) define decision variables (3 marks) (b) state the objective function as a function of decision variables (3 marks) give the set of constraints (8 marks) Assuming that the graph above is directed and that the arcs represent flow through the network, state the mathematical programming formulation for the maximum flow problem Seattle Butte 10 Billings 4 Portland Boise 12 1 Cheyenne City Salt Lake oz Grand Denver Junction (d) define decision variables (3 marks) (e) state the objective function as a function of decision variables (3 marks) (1) give the set of constraints (8 marks)

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