document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085559>Question 1085559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The manager of a furniture factory finds that it costs $2200 to manufacture 100 chairs in one day and $4800 to produce 300 chairs in one day. <BR>\n" );
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document.write( "(a) Assuming that the relationship between cost and the number of chairs produced is linear, find an equation that expresses this relationship. <BR>\n" );
document.write( "(b) What is the slope of the line in part (a) and what does it represent (in words)? <BR>\n" );
document.write( "(c) What is the y-intercept of this line and what does it represent (in words)?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699738 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel1380><B>jorel1380(3719)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel1380><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=jorel1380><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let fixed costs be a constant, c. Then:<BR>\n" );
document.write( "2200=c+100x<BR>\n" );
document.write( "4800=c+300x<BR>\n" );
document.write( "200x=2600<BR>\n" );
document.write( "x=13<BR>\n" );
document.write( "c=900<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "y=13x+900<BR>\n" );
document.write( "The slope is 1/13, and represents the variable costs of making furniture<BR>\n" );
document.write( "The y-intercept at x=0 represents your fixed costs.  </SPAN>\n" );
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