document.write( "Question 1100348: The point at which a​ company's costs equal its revenues is the ​ break-even point. C represents the​ cost, in​ dollars, of x units of a product and R represents the​ revenue, in​ dollars, from the sale of x units. Find the number of units that must be produced and sold in order to break even. That​ is, find the value of x for which C=R.
\n" ); document.write( "C=13x+20,000 and R=15x \n" ); document.write( "
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C = 13x + 20,000
\n" ); document.write( "R = 15x\r
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\n" ); document.write( "\n" ); document.write( "break even when revenue equals cost.\r
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\n" ); document.write( "\n" ); document.write( "C = R when 13x + 20,000 = 15x.\r
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\n" ); document.write( "\n" ); document.write( "start with 13x + 20,000 = 15x
\n" ); document.write( "subtract 13x from both sides of the equation to get 20,000 = 2x
\n" ); document.write( "solve for x to get x = 10,000\r
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\n" ); document.write( "\n" ); document.write( "break even occurs when the number of units produced and sold is 10,000\r
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\n" ); document.write( "\n" ); document.write( "R = 15x = 15 * 10,000 = 150,000\r
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\n" ); document.write( "\n" ); document.write( "C = 20,000 + 13 * 10,000 = 20,000 + 130,000 = 150,000\r
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