On a given day, the flow rate F (in cars per hour) on a congested roadway is given by the equation below, where v is the speed of traffic in miles per hour.
F =
v
22 + 0.07v2
What speed will maximize the flow rate on the road? (Round your answer to one decimal place.)

Question

On a given day, the flow rate F (in cars per hour) on a congested roadway is given by the equation below, where v is the speed of traffic in miles per hour.
F = 
v
22 + 0.07v2
What speed will maximize the flow rate on the road? (Round your answer to one decimal place.)

justus · Answer

I'll help you get started. $$F' = (22-0.02v^2)/(22+0.02v^2)$$