document.write( "Question 47941: Profitable fruitcakes. Sharon’s revenue R (in dollars) on the sale of x fruitcakes is determined by the formula R= 50x - x². Her cost C (in dollars) for producing x fruitcakes is given by the formula C= 2x + 40. For what values of x is Sharon’s profit positive? (Profit = revenue – cost.)\r
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Algebra.Com's Answer #31750 by stanbon(75887)\"\" \"About 
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revenue R (in dollars) on the sale of x fruitcakes is determined by the formula R= 50x - x². Her cost C (in dollars) for producing x fruitcakes is given by the formula C= 2x + 40. For what values of x is Sharon’s profit positive? (Profit = revenue – cost.) \r
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\n" ); document.write( "\n" ); document.write( "Profit = R - C
\n" ); document.write( "Profit = (50x-x^2)-(2x+40)> 0
\n" ); document.write( "-x^2+48x-40>0\r
\n" ); document.write( "\n" ); document.write( "x^2-48x+40<0\r
\n" ); document.write( "\n" ); document.write( "I graphed the quadratic to see where it was below the x axis.\r
\n" ); document.write( "\n" ); document.write( "0.84832619...< x < 47.151674...
\n" ); document.write( "Since fruitcakes are counted with natural numbers you get:
\n" ); document.write( "1 < x < 47\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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