document.write( "Question 1129343: Determine the number of units x that produce a maximum revenue, in dollars, for the given revenue function.
\n" ); document.write( "R(x) = 312x − 0.2x2
\n" ); document.write( "x = units
\n" ); document.write( "Determine the maximum revenue.____$
\n" ); document.write( "

Algebra.Com's Answer #745910 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"R%28x%29+=+312x+-0.2x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "it’s parabola, and max is at vertex; write it in vertex form\r
\n" ); document.write( "\n" ); document.write( "\"R%28x%29+=++-0.2x%5E2%2B312x\"...eliminate decimal, multiply by \"10\"\r
\n" ); document.write( "\n" ); document.write( "\"R%28x%29+=++-2x%5E2%2B3120x\"\r
\n" ); document.write( "\n" ); document.write( "\"R%28x%29+=++-2%28x%5E2-1560x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"R%28x%29+=++-2%28x%5E0.2-1560x%2Bb%5E2%29-2%28-1560%5E2%29\"-> \"2ab=1560\",\"a=1\"=>\"b=1560%2F2=780\"\r
\n" ); document.write( "\n" ); document.write( "\"R%28x%29+=++-2%28x%5E2-1560x%2B780%5E2%29-2%28-780%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"R%28x%29+=++-2%28x-780%29%5E2%2B1216800\"\r
\n" ); document.write( "\n" ); document.write( "vertex is at
\n" ); document.write( "(\"780\", \"121680\")\r
\n" ); document.write( "\n" ); document.write( "\"x+=780\" units
\n" ); document.write( "Determine the maximum revenue.\"121680\"$\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );