A small business uses a truck to make deliveries. The cost per hour for fuel is given by C=(v^2+1350)/(270), where v is the speed of the truck (in...

A small business uses a truck to make deliveries. The cost per hour for fuel is given by C=(v^2+1350)/(270), where v is the speed of the truck (in miles per hour). The driver is paid $16.5 per hour. Find the speed that minimizes the cost of a 240-mile trip. (Assume there are no costs other than fuel and wages.) What is the optimal speed?