You regularly pay your nephew to drive a semi hauling hay a

Last updated: 7/9/2022

You regularly pay your nephew to drive a semi hauling hay a distance of 170 miles. You have just learned that the stretch of highway that he drives no longer has a speed limit. The semi can do 90 miles/hour for the entire trip, and of course you want the trip to go quickly since you are paying your nephew $100/hour during the drive. However, the cost of fuel varies directly with the square of the speed of the truck and is calculated by taking 0. 1v². If your desire is to minimize cost... a. Write the equation you will be working with in this problem. b. Use Calculus to determine the speed (to the nearest mile per hour) you should tell your nephew to drive to minimize the total (overall) cost per trip.