On a Given Day, the Flow Rate F (Cars Per $F = \frac { v } { 17 + 0.04 v ^ { 2 } }$

Multiple Choice

On a given day, the flow rate F (cars per hour) on a congested roadway is given by $F = \frac { v } { 17 + 0.04 v ^ { 2 } }$ , where $v$ is the speed of the traffic in miles per hour. What speed will maximize the flow rate on the road? Round your answer to the nearest mile per hour.

A) 18 miles per hour
B) 16 miles per hour
C) 17 miles per hour
D) 10 miles per hour
E) 21 miles per hour