document.write( "Question 1070114: A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $50,560. The variable costs will be $8.50 per book. The publisher will sell the finished product to bookstores at a price of $24.50 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales? \n" ); document.write( "
Algebra.Com's Answer #685217 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x = number of books.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cost = 50,560 + 8.50 * x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "revenue = 24.5 * x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "break even is when revenue equals cost.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "revenue equals cost equation becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "24.5 * x = 50,560 + 8.50 * x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 8.50 * x from both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "24.5 * x - 8.5 * x = 50,560\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 * x = = 50,560\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of the equation by 16 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 50,560 / 16 = 3160.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace x in the original cost and revenue equations to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cost = 50,560 + 8.50 * x becomes cost = 50,560 + 8.50 * 3160 which gets you cost = 77,420.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "revenue = 24.5 * x becomes revenue = 24.5 * 3160 which gets you revenue = 77,420.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution looks good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he will have to sell 3160 books to break even.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |