Question

The hourly profit ($P) obtained from operating a fleet of n taxis is given by

P=-2n^2+84n-45

What is the profit if 20 taxis are on the road?

What is the maximum hourly profit?

What number of taxis gives the max hourly profit?

How much money is lost per hour if no taxis are on the road?

Answer 1

P(20) = -2(400) + 84(20) - 45

if you do not know calculus, find vertex of parabola by completing square. I am assuming calculus.
0 = -4 n + 84
n = 21 at maximum
so
Pmax = -2(21^2) + 84(21) - 45

21, been there, did that

-45 when n = 0

Answer 2

bhj