document.write( "Question 107033: Hi, please help me answer this question:\r
\n" ); document.write( "\n" ); document.write( "The president of a company producing water pumps has gathered data suggesting that the average cost in dollars producing x units per hour of a new style of pump will be C(x)=x^2-22x+166. Determine the number of pumps per hour to produce to keep the average cost below $75 per pump.\r
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Algebra.Com's Answer #77897 by Annabelle1(69)\"\" \"About 
You can put this solution on YOUR website!
you need to solve C(x)=x^2-22x+166<75
\n" ); document.write( "s0 x^2-22x+166-75<0\r
\n" ); document.write( "\n" ); document.write( "x^2-22x+91<0\r
\n" ); document.write( "\n" ); document.write( "this isn't factorisable so put it into the quadratic formula
\n" ); document.write( "a=1 b=-22 c=91
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%2822+%2B-+sqrt%28+22%5E2-4%2A1%2A91+%29%29%2F%282%2A1%29+\"\r
\n" ); document.write( "\n" ); document.write( "x=(22+-sqrt(120)/2\r
\n" ); document.write( "\n" ); document.write( "x=16.477
\n" ); document.write( "or
\n" ); document.write( "x=5.523\r
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