7. Aggie Power Generation supplies electrical power to residential customers for many U.S. cities. Its main power generation plants are located in Los Angeles, Tulsa, and Seattle. The following table shows Aggie Power Generation’s major residential markets, the annual demand in each market (in megawatts or MWs) and the cost to supply electricity to each market from each power generation plant (prices are in $/MW).Distribution CostsCity Los Angeles Tulsa Seattle Demand (MWs)Seattle $356.25 $593.75 $59.38 950.00Portland $356.25 $593.75 $178.13 831.25San Francisco $178.13 $475.00 $296.88 2375.00Boise $356.25 $475.00 $296.88 593.75 Reno $237.50 $475.00 $356.25 950.00Bozeman $415.63 $415.63 $296.88 593.75Laramie $356.25 $415.63 $356.25 1187.50Park City $356.25 $356.25 $475.00 712.50Flagstaff $178.13 $475.00 $593.75 1187.50Durango $356.25 $296.88 $593.75 1543.757b. If at most 4000 MWs of power can be supplied by any one of the power plants, what is the optimal solution? What is the annual increase in power distribution cost that results from adding these constraints to the original formulation
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