document.write( "Question 512807: The owner of a video store has determineed the cost C, in dollars, of operating the store is approximately given by C(x)=2x^2-32x+720, where x is the number of videos rented daily. Find the lowest cost to the nearest dollar. \n" ); document.write( "

Algebra.Com's Answer #342741 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+C%28x%29+=+2x%5E2+-+32x+%2B+720+\"$
\n" ); document.write( "The minimum, or lowest cost is the vertex V(x,y)
\n" ); document.write( "The formula for the x-coordinate is:
\n" ); document.write( " $\"+-b%2F%282a%29+\"$
\n" ); document.write( "when the equation is in the form
\n" ); document.write( " $\"+ax%5E2+%2B+bx+%2B+c+\"$
\n" ); document.write( " $\"+a+=+2+\"$
\n" ); document.write( " $\"+b+=+-32+\"$
\n" ); document.write( " $\"+-b%2F%282a%29+=+-%28-32%29%2F%282%2A2%29+\"$
\n" ); document.write( " $\"+-b%2F%282a%29+=+32%2F4+\"$
\n" ); document.write( " $\"+-b%2F%282a%29+=+8+\"$
\n" ); document.write( "Now plug this into the equation to find $\"C%288%29+\"$
\n" ); document.write( " $\"+C%288%29+=+592+\"$
\n" ); document.write( "The lowest cost is $592
\n" ); document.write( "You can check this by plugging $\"+x+=+7.9+\"$
\n" ); document.write( "and $\"+x+=+8.1+\"$ into the equation and seeing
\n" ); document.write( "if they are both less than $\"+592+\"$ \r
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