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

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?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

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
RELATED QUESTIONS
Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given... (answered by fractalier)

Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given (answered by longjonsilver)

The total profit (in dollars) for sales of x rowing machines is given by... (answered by funmath)

The total profit (in dollars) for sales of x rowing machines is given by... (answered by ankor@dixie-net.com)

I need a little help with this one please: Maximizing profit. The total profit (in... (answered by jake_6233)

The total profit (in dollars) for sales of x rowing machines is given by P(x) = 0.2 x^2 + (answered by rapaljer)

I am needing help solving this word problem- these are too confusing to me The total... (answered by richwmiller)

114. Surface area of a cube. The formula A =6V^2/3 gives the surface area of a cube in... (answered by Alan3354,ankor@dixie-net.com)

114. Surface area of a cube. The formula A =6V^2/3 gives the surface area of a cube in... (answered by edjones)