SOLUTION: Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by P(x)=-0.2x^2 + 300x-200. What is the profit if 500 are sold? For what value of x will th
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Question 153740: Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by P(x)=-0.2x^2 + 300x-200. What is the profit if 500 are sold? For what value of x will the profit be at a maximum?
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Solve for
The profit when 500 rowing machines are sold
is $99,800
When the equation is in the form ,
The maximum (or minimum) occurs at
In this equation,
When 750 rowing machines are sold, the profit will be a maximum
This can be checked by looking at
and . They should both be slightly less than
I worked out to be
