<PRE><B>Question 147161</B>
The total profit (in dollars) for sales of x rowing machines is given by P(x)=-02x^2+300x-200. 
:
What is the profit if 500 are sold?
:
Substitute 500 for x and find P(x)
p(x) = -.02*500^2 + 300(500) - 200
:
p(x) = -5000 + 150000 - 200
:
p(x) = $144,800 profit when 500 units are sold
:
:
For what value of x will the profit be at a maximum
:
Find the axis of symmetry: x = -b/(2a); in this equation a=-.02, b=300
x = {{{(-300)/(2*-.02)}}}
x = 7500 units will give max profit</PRE>