General: Minimum Cost A cable is to connect a power plant to an island that is 1 mile of...

General: Minimum Cost A cable is to connect a power plant to an island that is 1 mile offshore and 3 miles downshore from the power plant. It costs $5000 per mile to lay a cable underwater and $3000 per mile to lay it underground. If the cost of laying the cable is to be minimized, find the distance x along the shore from the island where the cable should meet the land.