document.write( "Question 1103716: The owner of a video store has determined that the profits P of the store are approximately given by P(x)=-x^+80x+63, where x is number of videos rented daily. Find the maximum profit to the nearest dollar. \n" ); document.write( "

Algebra.Com's Answer #718408 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
I assume you mean -x^2(?).
\n" ); document.write( "Convert to vertex form to find the maximum.
\n" ); document.write( " $\"P%28x%29=-x%5E2%2B80x%2B63\"$
\n" ); document.write( " $\"P%28x%29=-%28x%5E2-80x%2B40%5E2%29%2B63%2B40%5E2\"$
\n" ); document.write( " $\"P%28x%29=-%28x-40%29%5E2%2B1663\"$
\n" ); document.write( "The maximum occurs at the vertex (40,1663).
\n" ); document.write( " \n" ); document.write( "

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