document.write( "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 \n" ); document.write( "

Algebra.Com's Answer #107551 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The total profit (in dollars) for sales of x rowing machines is given by P(x)=-02x^2+300x-200.
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\n" ); document.write( "What is the profit if 500 are sold?
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\n" ); document.write( "Substitute 500 for x and find P(x)
\n" ); document.write( "p(x) = -.02*500^2 + 300(500) - 200
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\n" ); document.write( "p(x) = -5000 + 150000 - 200
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\n" ); document.write( "p(x) = $144,800 profit when 500 units are sold
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\n" ); document.write( "For what value of x will the profit be at a maximum
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\n" ); document.write( "Find the axis of symmetry: x = -b/(2a); in this equation a=-.02, b=300
\n" ); document.write( "x = $\"%28-300%29%2F%282%2A-.02%29\"$
\n" ); document.write( "x = 7500 units will give max profit \n" ); document.write( "

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