document.write( "Question 1207286: A company has determined that the profit, in dollars, it can expect from the manufacture and sale of x tennis racquets is given by
\n" ); document.write( "P = −0.01x2 + 170x − 180,000.
\n" ); document.write( "How many racquets should the company manufacture and sell to earn a profit of $474,900?
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Algebra.Com's Answer #845069 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"P+=+-0.01x%5E2+%2B+170x+-+180000\"\r
\n" ); document.write( "\n" ); document.write( "How many racquets should the company manufacture and sell to earn a profit of $\"474900\"?\r
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\n" ); document.write( "\n" ); document.write( "\"P=474900\"\r
\n" ); document.write( "\n" ); document.write( "\"474900+=+-0.01x%5E2+%2B+170x+-+180000\"\r
\n" ); document.write( "\n" ); document.write( "\"0.01x%5E2+-+170x+%2B+180000%2B474900+=0\"\r
\n" ); document.write( "\n" ); document.write( "\"0.01x%5E2+-+170x+%2B+654900+=0\"\r
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\n" ); document.write( "\n" ); document.write( "using quadratic formula we have\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28-%28-170%29%2B-sqrt%28%28-170%29%5E2-4%2A0.01%2A654900%29%29%2F%282%2A0.01%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%28170%2B-sqrt%2828900-26196%29%29%2F0.02\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%28170%2B-sqrt%282704%29%29%2F0.02\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%28170%2B-52%29%2F0.02\"\r
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\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"x=%28170%2B52%29%2F0.02=11100\"\r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "\"x=%28170-52%29%2F0.02=5900\"\r
\n" ); document.write( "\n" ); document.write( "the company manufacture should sell \"5900\" or \"11100\" racquets to earn a profit of $\"474900\"\r
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