SOLUTION: 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? For what value of x will the profit be at a max

Question 147161: 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? For what value of x will the profit be at a maximum
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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 =
x = 7500 units will give max profit
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