document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=224143>Question 224143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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 amount to $17,750 . The variable costs will be $12.75 per book. The publisher will sell the finished product to bookstores at a price of $19 per book. How many books must the publisher print and sell so that the production costs will equal the money obtained from sales? \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167682 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=167682\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A small publishing company is planning to publish a new book.<BR>\n" );
document.write( " The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing).<BR>\n" );
document.write( " The one-time fixed costs will amount to $17,750 .<BR>\n" );
document.write( " The variable costs will be $12.75 per book.<BR>\n" );
document.write( " The publisher will sell the finished product to bookstores at a price of $19 per book.<BR>\n" );
document.write( "How many books must the publisher print and sell so that the production costs <BR>\n" );
document.write( "will equal the money obtained from sales?<BR>\n" );
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document.write( "let n = number of books printed and sold<BR>\n" );
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document.write( "Cost equation<BR>\n" );
document.write( "C = 12.75n + 17750<BR>\n" );
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document.write( "Revenue equation, (books sold at $19)<BR>\n" );
document.write( "R = 19n<BR>\n" );
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document.write( "The break-even point: R = C, solve for n <BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "19n = 12.75n + 17750<BR>\n" );
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document.write( "19n - 12.75n = 17750<BR>\n" );
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document.write( "6.25n = 17750<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17750%2F6.25 ALIGN=MIDDLE  ALT=\"17750%2F6.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 2840 books must be printed and sold<BR>\n" );
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document.write( "See if that is true<BR>\n" );
document.write( "19 * 2840 = $53,960<BR>\n" );
document.write( "(12.75 * 2840) + 17750 =$53,960 </SPAN>\n" );
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