Problem 10-07 (Algorithmic) Aggie Power Generation supplies electrical power to residential customers for many U.S. cities. Its...

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Advance Math

  1. Problem 10-07 (Algorithmic)

    Aggie Power Generation supplies electrical power to residentialcustomers for many U.S. cities. Its main power generation plantsare located in Los Angeles, Tulsa, and Seattle. The following tableshows Aggie Power Generation's major residential markets, theannual demand in each market (in megawatts or MWs), and the cost tosupply electricity to each market from each power generation plant(prices are in $/MW).

    Distribution Costs
    CityLos AngelesTulsaSeattleDemand (MWs)
    Seattle$364.25$601.75$67.38958.00
    Portland$367.25$604.75$189.13842.25
    San Francisco$166.13$463.00$284.882363.00
    Boise$341.25$460.00$281.88578.75
    Reno$241.50$479.00$360.25954.00
    Bozeman$428.63$428.63$309.88506.15
    Laramie$367.25$426.63$367.251198.50
    Park City$375.25$375.25$494.00622.25
    Flagstaff$238.13$535.00$653.751178.19
    Durango$363.25$303.88$600.751472.25
    1. If there are no restrictions on the amount of power that can besupplied by any of the power plants, what is the optimal solutionto this problem? Which cities should be supplied by which powerplants? What is the total annual power distribution cost for thissolution? If required, round your answers to two decimalplaces.

      The optimal solution is to produce  MWs in LosAngeles,  MWs in Tulsa, and  MWs in Seattle.The total distribution cost of this solution is$  .
    2. If at most 4000 MWs of power can be supplied by any one of thepower plants, what is the optimal solution? What is the annualincrease in power distribution cost that results from adding theseconstraints to the original formulation? If required, round youranswers to two decimal places.

      The optimal solution is to produce  MWs in LosAngeles,  MWs in Tulsa, and  MWs in Seattle.The total distribution cost of this solution is $  . Theincrease in cost associated with the additional constraints is$  .

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