The profit for a company that sells chairs is defined by P= -5x^2+200x+200. Where P is profit and x is the number of chairs produced. Find the number of chairs "x" that will produce the maximum profit "P".

Answer 1

Since the title is "algebra", I assume calculus cannot be used.
In this case, complete squares of P(x).
P=-5(x-20)²+2200
which means that P(x) is at a maximum when x=20, and P(x)=2200.