document.write( "Question 1068245: An entrepreneur builds and sells computers in his store. His cost per computer is $550 after start-up costs of $10,000. His revenue for selling each computer is $1199.99. Assume that he sells every computer he builds. Recall and use the complete function definition form whenever it says \"Define a function.\"\r
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document.write( "1. Define a function f that expresses his total cost as a function of x, the number of computers he builds. \n" );
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Algebra.Com's Answer #683483 by Theo(13342)![]() ![]() You can put this solution on YOUR website! c = cost. \n" ); document.write( "r = revenue \n" ); document.write( "x = number of computers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c = 10,000 + 550 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r = 1199.99 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you let f(x) = c, then the function becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c = f(x) = 10,000 + 550 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "what this says is that c is a function of x, which means that the argument of the function is the variable x which represents the number of computers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you also have a profit equation (p = profit).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "p = r - e\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you also have a breakeven equaton.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that happens when the revenue is equal to the expense.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that equation becomes r = e\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the answer to your question, however is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the cost function is c = f(x) = 10,000 + 550 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |