document.write( "Question 1018639: A Table Affair, which sells European tablecloths at local farmers markets, has the following weekly revenue and cost functions:\r
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document.write( "R(t) = 120t
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document.write( "C(t) = 40t + 700\r
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document.write( "where R(t) represents the weekly revenue in dollars for selling t tablecloths and C(t) represents the weekly costs in dollars for selling t tablecloths. Find the number of tablecloths A Table Affair must sell to break-even or make a profit.\r
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document.write( "A Table Affair must sell at least____table cloths to break even or make a profit. \n" );
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Algebra.Com's Answer #634707 by toddcarnes(6)![]() ![]() You can put this solution on YOUR website! First you need to recognize that to break even means that R(t) = C(t). \n" ); document.write( "Therefore, let 120t = 40t + 700 and then solve for t as follows. \n" ); document.write( "120t = 40t + 700 \n" ); document.write( "120t - 40t = 700 \n" ); document.write( "80t = 700 \n" ); document.write( "t = 700 / 80 \n" ); document.write( "t = 8.75 \n" ); document.write( "In other words, you would need to sell 8.75 tablecloths to break even. That means you need to sell at least 9 tablecloths to make a profit. \n" ); document.write( " |