The town of Foxton lies 10 mi north of an abandoned east-west road that runs through Grimley, as shown in the figure. The point on the abandoned road closest to Foxton is 30 ml fromGrimley. County officials are about to build a new road connecting the two towns. They have determined that restoring the old road would cost $100,000 per mile, while building a new road would cost $200,000 per mile. How much of the abandoned road should be
used (as indicated in the figure) if the officials intend to spend exactly $5.8 million?
How much would it cost to build a new road connecting the towns directly? (Round your answer to one decimal place.)