document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117675>Question 117675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Business and finance. In planning for a new item, a manufacturer assumes that<BR>\n" );
document.write( "the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85672 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=85672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Business and finance. In planning for a new item, a manufacturer assumes that<BR>\n" );
document.write( "the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "You want C as a function of x.<BR>\n" );
document.write( "You have two points relating x and C:<BR>\n" );
document.write( "(100,10000) and (300,22000)<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "slope = (22000-10000)/(300-100) = 12000/200 = 60<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "C = mx + b<BR>\n" );
document.write( "10000 = 60*100 + b<BR>\n" );
document.write( "b = 10000 - 6000<BR>\n" );
document.write( "b = 4000<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "C(x) = 60x+4000<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );