SOLUTION: The manager of a factory has found the output at the factory can be modeled by the function T(n)=-0.2n squared+8n-24, where n is the number of workers at the factory and T is the o

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: The manager of a factory has found the output at the factory can be modeled by the function T(n)=-0.2n squared+8n-24, where n is the number of workers at the factory and T is the o      Log On


   

Question 283681: The manager of a factory has found the output at the factory can be modeled by the function T(n)=-0.2n squared+8n-24, where n is the number of workers at the factory and T is the output. Find the number of workers,n, needed to maximize the output. Then find the maximum output with with that number of workers..
I have no idea how to solve this one.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the max of the function lies on the axis of symmetry of the parabola

the general equation is ___ x = -b / (2a)

in this case ___ n = (-8) / [2(-.2)] ___ n = 20

the max output uses 20 workers
___ plug n=20 into the function to find the max T