Task One: You are the city planner in charge of running a high-efficiency power line from a power station to a new shopping center being built nearby. The power station is located on 1st St, and the shopping center is on Shopping Ln. The power station is 10miles north of Shopping Ln, and the shopping center is 7 miles east of 1st St. While the power line can run above ground on 1st St, it must be run underground away from 1st St. The cost of running the power line some distance underground is three times that of running the power line the same distance above the ground. How far from the Power Station should the wire switch from running above ground (i.e., along 1st St.) to running below ground? The following GeoGebra application visualizes the described scenario. In this application, you may alter the "D=" slider to change the distance from Shopping Lane at which the Switch Point is placed. x = 5 Wire above ground Switch Point Power Station on Ist St. 10 miles Wire below ground 7 miles Shopping Center on Shopping Ln. Task: Find the location along 1st St. at which the Switch Point should be placed to minimize the cost of running the power line from the Power Station to the Shopping Center