# Interpret Quadratic Functions

*label*Mathematics

*timer*Asked: Apr 30th, 2015

**Question description**

A local factory employs machinists to work on its gidget assembly line. The machinist's productivity is shown by the function

P(m) = -16m^{2} + 128m + 172

where m represents the number of machinists and P(m) represents their hourly output of gidgets. A graph of the function is shown below.

[img src="https://app32.studyisland.com/pics/95004q1.png">

At what number of machinists is productivity maximized, and what is their hourly output at that point?