document.write( "Question 183984: The National Gizmo Corporation calculates that its profit, in thousands of dollars, on the sale of x thousand gismos is given by p(x)= -2x^2 + 52x + 30. How many gizmos must be sold in order to earn a maximum profit? \n" ); document.write( "

Algebra.Com's Answer #138071 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"p%28x%29=+-2x%5E2+%2B+52x+%2B+30\"$
\n" ); document.write( "When he equation is of the form
\n" ); document.write( " $\"y+=+ax%5E2+%2B+bx+%2B+c\"$ , the maximum occurs at
\n" ); document.write( " $\"x+=+%28-b%29%2F%282a%29\"$
\n" ); document.write( " $\"b+=+52\"$
\n" ); document.write( " $\"a+=+-2\"$
\n" ); document.write( " $\"x+=+%28-b%29%2F%282a%29+=+%28-52%29%2F%282%2A%28-2%29%29\"$
\n" ); document.write( " $\"x+=+13\"$
\n" ); document.write( "13 gizmos must be sold to maximize profit
\n" ); document.write( "I'll plot it
\n" ); document.write( " $\"+graph%28+500%2C+500%2C+-6%2C+30%2C+-10%2C+400%2C+-2x%5E2+%2B+52x+%2B+30%29+\"$ \n" ); document.write( "

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