document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162385>Question 162385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The manager of a company manufacture surfboard has fixed costs (at o output)$500 per day and the total cost $6500 per day at a daily output of 40<BR>\n" );
document.write( "1. write an equation for the cost funtion with<BR>\n" );
document.write( "2.what is the fixed cost,variable cost,and total cost for an output of 28 per day    \r<BR>\n" );
document.write( "\n" );
document.write( "  this is my solution <BR>\n" );
document.write( "   equation C(x)=500x +6500(40-x)<BR>\n" );
document.write( "    is this correct please help----- </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119677 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=119677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> fixed cost is a constant value that does not depend on x since it will be the same regardless of how many units are produced.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "the first thing they told you is that the total cost for a day is 6500 when 40 units are produced.<BR>\n" );
document.write( "your formula for that would be:<BR>\n" );
document.write( "500 + 40*x = 6500<BR>\n" );
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document.write( "solving for that, the equation becomes<BR>\n" );
document.write( "40*x = 6000<BR>\n" );
document.write( "x = 150<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "your cost per unit is 150.<BR>\n" );
document.write( "the equation for the reduced output is<BR>\n" );
document.write( "500 + 28*x = y<BR>\n" );
document.write( "where x is the cost per unit and y is the total cost per day.<BR>\n" );
document.write( "since you know x, you substitute 150 for x and the equation becomes<BR>\n" );
document.write( "500 + 28*150 = y<BR>\n" );
document.write( "which becomes<BR>\n" );
document.write( "500 + 4200 = y<BR>\n" );
document.write( "which becomes 4700 = y<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "your answer at 28 units per day is:<BR>\n" );
document.write( "cost per unit = $150.00<BR>\n" );
document.write( "fixed cost = $500.00<BR>\n" );
document.write( "variable cost = number of units times cost per unit = $4200.00<BR>\n" );
document.write( "total cost = fixed cost plus variable cost = $4700.00<BR>\n" );
document.write( "----- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );