document.write( "Question 376031: 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). There are two production methods it could use. With one method, the one-time fixed costs will total $15,248 , and the variable costs will be $25.50 per book. With the other method, the one-time fixed costs will total $71,570 , and the variable costs will be $12.00 per book. For how many books produced will the costs from the two methods be the same?
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Algebra.Com's Answer #267511 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A small publishing company is planning to publish a new book. \n" ); document.write( " The production costs will include one-time fixed costs (such as editing) \n" ); document.write( " and variable costs (such as printing). \n" ); document.write( " There are two production methods it could use. \n" ); document.write( "With one method, the one-time fixed costs will total $15,248 , and the \n" ); document.write( " variable costs will be $25.50 per book. \n" ); document.write( "With the other method, the one-time fixed costs will total $71,570, and the \n" ); document.write( " variable costs will be $12.00 per book. \n" ); document.write( " For how many books produced will the costs from the two methods be the same? \n" ); document.write( ": \n" ); document.write( "Let n = number of books produced \n" ); document.write( ": \n" ); document.write( "Write an equation for the Cost (C) of each method: \n" ); document.write( ": \n" ); document.write( "1: C = 25.50n + 15248 \n" ); document.write( "and \n" ); document.write( "2: C = 12N + 71570 \n" ); document.write( ": \n" ); document.write( "Method 1 cost = Method 2 cost \n" ); document.write( "25.50n + 15248 = 12n + 71570 \n" ); document.write( "25.50n - 12n = 71570 - 15248 \n" ); document.write( "13.5n = 56322 \n" ); document.write( "n = \n" ); document.write( "n = 4172 books will have the same cost\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |