Topic 5-Linear Programming: Distrib Problem 10-07 (Algorithmic) Aggle Power Generation supplies electrical power to residential customers for many U.S.ates. Its main power generation plants are located in Los Angeles, Tulsa, and Seattle. The following table shows Aggle Power Generation's major residential markets, the annual derand in each market in megawatts of W.), and the cost topply electricity to each market from each power generation plant (ories are in S/MW). Distribution Costs City Los Angeles Seattle Demand (MW) Tulsa 5601.75 Seattle 5364.25 958.00 $67.38 $189.13 5604.75 842.25 Portland San Francisco $367.25 5166.13 5463.00 $264.88 2363.00 57.75 B. $341.25 $281.5 $460.00 5479.00 Reno 954.00 5243.50 $428.63 $367.25 $360.25 $309.66 Borman $425.63 506:15 Laramie 142663 $375.25 $367.25 3494.00 Park City $375.25 1198.50 622.25 1178.19 3472.25 $653.75 Flagstaff Durango $238.13 $363.25 $535.00 $303.88 $600.75 If there are no restrictions on the amount of power that can be supplied by any of the power planta, what is the optimal solution to this problem which cities should be supplied by which power plants What is the total annual power dutribution cost for this solution required, round your answers to two decimal pion The optimal solution is to produce MWs in Los Angeles, Mws in Tulsa, and MWs in Seattle. The total distribution cost of the solution is $ b. It at most 4000 MWs of power can be suppled by any one of the power plants, what is the optimal olution? What is the annual increase in power distribution cut that results from adding these constraints to the original formulation? If required, round your answers to two decimal places The optimal solution to produce MWs in Los Angeles MWs in Tulsa, and Mws in Seattle. The total distribution cost of this solution is The increase in contacted with the additional constraints is $ $