Ex: You work for a company who is in charge of running power line t aland 18km offshore from a station 11km down shore. The cost for running a power line over land is $700km and $2500km for running under water. Where should be located in order to minimize cost? -11km -11-x=P 78 y? =√77324 •point where the line transfers from land to water Let be the distance between the point on the shore closest to the island and the paint the Powerline switches from land to water, in km, 06X211 Let C be the cast, ins, C70 C(x) = 700 (11-x) +2500 (√77+324) C'(x) = -700 + 2500 (& (x²+324) *. (27) =-700 + 2500x 700-2500x √77+324 √73324 700 (324)=2500x √x²+32425x 7 x²+324 = 625x² 49 49x+15876-62572 15876 = 576x2 15876= = x 576 =x FDT Intervall C'(x) soln Tab 사람 x- 17241 - mn! + 201 Q should be located 5.25 km from the closest Point on the shore to the Island

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