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Question: distances between cities in kilometers atlanta dallas denver las vegas...

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Distances between Cities (in kilometers) Atlanta Dallas Denver Las Vegas Miami Nashville New York Phoenix Seattle The Powerhouse Problem: 1322 Powerhouse Corp. imports capacitors into the United States through Seattle and Miami Capacitors are shipped from these two ports to New York. Nashville. Denver and Phoenix for use in public utilities. The following map depicts the railway network available to Powerhouse for its shipments. 1258 1225 1064 1064 1467 1451 2693 1371 1306 2161 467 1903 4580 Atlanta Dallas Denver Las Vegas Miami Nashville New York Phoenix Sea Each year the public utilities must receive the following number of capacitors: New York, 55,000; Nashville, 50,000; Denver, 60,000; and Phoenix 45,000 a) How many of the total 210,000 capacitors should be shipped via Miami? b) If FedEx offered Powerhouse a service to have all the 210,000 capacitors shipped Denver into Denver, up to how much should Powerhouse be willing to pay annually for this contract? Las Vegas c) Assume that FedEx asked for 15% more than what Powerhouse managers were willing to pay, and hence Powerhouse decided to continue with Miami and Seattle as its distribution centers. However, the railroad company revealed that they can only guarantee the following capacity allocations to Powerhouse shipments: Atlanta Dallas Link Nashville-New York Atlanta -New York Miami Nashville Seattle-Denve Denver Phoenix 20,000 30,000 30,000 30,000 25,000 Miami The travel distances between the city pairs that are directly connected via railroad are provided in the following Table. Note that the cargo can pass from one rail link to another only at (the nodes that represent) cities, and not at the other intersection points of rail links. The cost of rail shipments is estimated as S1.2 per kilometer of travel per capacitor Note that the capacity limit applies in either direction on a link. For example, at most 20,000 capacitors can be shipped from Nashville to New York and at most 20,000 capacitors can be shipped from New York to Nashville What is the minimum cost shipment plan for Powerhouse? d) Is the FedEx offer preferable under the shipment limits imposed by the railroad company?

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