After winning the lottery, you decide to buy your own island. The island is located 1 km offshore from a straight portion of the mainland. There is currently no source of electricity on the island, so you want to run a cable from the mainland to the island. An electrical power sub-station is located 4 km from your island's nearest location to the shore. It costs $50,000 per km to lay a cable in the water and $30,000 per km to lay a cable over the land. - ocean your island cable path . I 1 km power 4 km (a) Explain why we can assume the cable follows the path indicated in the picture; i.e., explain why the path consists of two line segments, rather than a weird curved path AND why it is OK to assume the cable reaches shore to the right of the power station and the left of the island. This answer has not been graded yet. (b) Let x be the distance downshore from the power sub-station to where the cable reaches the land. Find a function A(x) in the variable x that computes the cost to lay a cable out to your island. F ( x ) = (c) Make a table of values of f(x), where x = 0, 2, 1, 5, 2..... . 4. (Round your answers to one decimal place.) X F(x) 0 N/M NY W N/C N N/W H Use these calculations to estimate the installation of minimal cost. X = km