1. On one side of a 1 km-wide river is an electric power plant. On the other side of the river, 5 km upstream, is a factory. It costs $9 per meter to run the cable over land and $15 per meter to run it under water. Write an expression for the cost function c(x). Use calculus to solve for x that minimizes cost. Verify by plotting c(x) vs x. 1 Km $15/meter Power plant 5 Km $9/meter Cable is dashed line Factory

Fig: 1