document.write( "Question 1182146: The cost function for a certain company is
\n" ); document.write( "C = 50x + 400
\n" ); document.write( " and the revenue is given by
\n" ); document.write( "R = 100x − 0.5x2.
\n" ); document.write( " Recall that profit is revenue minus cost. Set up a quadratic equation and find two values of x (production level) that will create a profit of $400
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Algebra.Com's Answer #812116 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "\"C+=+50x+%2B+400\"\r
\n" ); document.write( "\n" ); document.write( "\"R+=+100x+-0.5x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "find profit:\r
\n" ); document.write( "\n" ); document.write( "\"P=R-C\"\r
\n" ); document.write( "\n" ); document.write( "\"P=100x+-0.5x%5E2-%2850x+%2B+400%29\"\r
\n" ); document.write( "\n" ); document.write( "\"P=100x+-0.5x%5E2-50x+-+400\"\r
\n" ); document.write( "\n" ); document.write( "\"P=+-0.5x%5E2%2B50x+-+400\"\r
\n" ); document.write( "\n" ); document.write( "if \"P=400\"\r
\n" ); document.write( "\n" ); document.write( "\"400=+-0.5x%5E2%2B50x+-+400\"\r
\n" ); document.write( "\n" ); document.write( "\"0=+-0.5x%5E2%2B50x+-+400-400\"\r
\n" ); document.write( "\n" ); document.write( "\"0=+-0.5x%5E2%2B50x+-+800\"....factor\r
\n" ); document.write( "\n" ); document.write( "\"0=+-0.5%28x%5E2-100x+%2B1600%29\"\r
\n" ); document.write( "\n" ); document.write( "\"0=+-0.5%28x%5E2-20x+-80x%2B1600%29\"\r
\n" ); document.write( "\n" ); document.write( "\"0=+-0.5%28%28x%5E2-20x%29+-%2880x-1600%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"0=+-0.5%28x%28x-20%29+-80%28x-20%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"0+=+-0.5+%28x+-+80%29+%28x+-+20%29\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"x=80\"
\n" ); document.write( "\"x=20\"\r
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