document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=484128>Question 484128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A publisher for a promising new novel figures fixed costs (overhead, advances, promotion, copy editing, typesetting) at $55,000, and variable costs (printing, paper, binding, shipping) at $1.60 for each book produced. If the book is sold to distibutors for $11 each, how many must be produced and sold for the publisher to break even? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #331288 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=331288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = no. of books published<BR>\n" );
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document.write( "A publisher for a promising new novel figures fixed costs (overhead, advances, promotion, copy editing, typesetting) at $55,000, and variable costs (printing, paper, binding, shipping) at $1.60 for each book produced. <BR>\n" );
document.write( "If the book is sold to distibutors for $11 each, how many must be produced and sold for the publisher to break even?<BR>\n" );
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document.write( "Cost equations<BR>\n" );
document.write( "c(x) = 1.60x + 55000<BR>\n" );
document.write( "Revenue equation<BR>\n" );
document.write( "r(x) = 11x<BR>\n" );
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document.write( "Break even is when Revenue = cost, therefore<BR>\n" );
document.write( "11x = 1.60x + 55000<BR>\n" );
document.write( "11x - 1.6x = 55000<BR>\n" );
document.write( "9.4x = 55000<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55000%2F9.4 ALIGN=MIDDLE  ALT=\"55000%2F9.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x ~ 5851 books <BR>\n" );
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document.write( "Prove this to your self<BR>\n" );
document.write( "Rev: 11(5851) = $64,361.00<BR>\n" );
document.write( "Cost: 1.6(5851) + 55000 = $64,361.60 (slight loss we can sell a portion of a book) </SPAN>\n" );
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