document.write( "Question 1087419: a company manufactures and sells t-shirts. the marketing department estimates that if they sell 'n' units (in thousands) the weekly cost c(x) and the revenue r(x) (in thousands of dollars) will be given by the equations
\n" ); document.write( "r(x)= -4x^3+20x^2-25
\n" ); document.write( "C(x)= 6x^2-14x+35
\n" ); document.write( "determine the number of t-shirts for which the company will make a profit. \n" ); document.write( "

Algebra.Com's Answer #701742 by Fombitz(32388) $\"\"$ $\"About$

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I'm assuming that $\"n=x\"$ ,
\n" ); document.write( "Find the breakeven point,
\n" ); document.write( " $\"R%28x%29=C%28x%29\"$
\n" ); document.write( " $\"-4x%5E3%2B20x%5E2-25=6x%5E2-14x%2B35\"$
\n" ); document.write( " $\"-4x%5E3%2B14x%5E2%2B14x-60=0\"$
\n" ); document.write( "You can factor,
\n" ); document.write( " $\"-2%28x-3%29%28x%2B2%29%282x-5%29=0\"$
\n" ); document.write( "Only positive solutions make sense.
\n" ); document.write( "In order the first positive zero would be,
\n" ); document.write( " $\"2x-5=0\"$
\n" ); document.write( " $\"2x=5\"$
\n" ); document.write( " $\"x=5%2F2\"$
\n" ); document.write( "So making more than 2,500 t-shirts would be profitable.
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