document.write( "Question 979471: The weekly profit P in pesos for selling x bottles of hand wash is P = - 100 x^2 + 2500x +1000. how many bottles of hand wash must be sold in order to have a profit of 12, 500 pesos?
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Algebra.Com's Answer #600739 by Boreal(15235) $\"\"$ $\"About$

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12,500 = - 100 x^2 + 2500x +1000.
\n" ); document.write( "100x^2-2500x+11500=0.
\n" ); document.write( "divide by 100
\n" ); document.write( "x^2-25x+115\r
\n" ); document.write( "\n" ); document.write( "x=(1/2)* 25 +/- sqrt (625-460); sqrt 165=12.845\r
\n" ); document.write( "\n" ); document.write( "=(1/2) 37.845=19 rounded
\n" ); document.write( "=(1/2) 12.155=7 rounded up.\r
\n" ); document.write( "\n" ); document.write( "try 18, because there are two positive roots.
\n" ); document.write( "-32400+(2500*18)+1000=-32400 + 45000=12,600\r
\n" ); document.write( "\n" ); document.write( "Try 7, because the curve is rising here.
\n" ); document.write( "12500=-4900+17,500+1000; second part=13,600. If I use 6, -3600+16000=12,400\r
\n" ); document.write( "\n" ); document.write( "The graph shows how close the profit is to 12,500, not the profit itself.\r
\n" ); document.write( "\n" ); document.write( "Note: this is not the maximum profit, which would occur at 12.5 or 12 ,13 as nearest to that.\r
\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C300%2C-20%2C20%2C-10%2C13000%2C-100%28x%5E2%29%2B2500x-11500%29\"$ \n" ); document.write( "

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