document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1144592>Question 1144592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company distributes college logo sweatshirts and sells them for $45 each. The total cost function is linear, and the total cost for 80 sweatshirts is $3912, whereas the total cost for 240 sweatshirts is $6952.\r<BR>\n" );
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document.write( "what is the equation for the revenue function?<BR>\n" );
document.write( "What is the equation for the total cost function?<BR>\n" );
document.write( "Find the break even quantity. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #765747 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=765747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A company distributes college logo sweatshirts and sells them for $45 each.<BR>\n" );
document.write( "let x = no. sold<BR>\n" );
document.write( "then the revenue function<BR>\n" );
document.write( "R(x) = 45x<BR>\n" );
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document.write( " The total cost function is linear, and the total cost for 80 sweatshirts is $3912, whereas the total cost for 240 sweatshirts is $6952.<BR>\n" );
document.write( "let b = the fixed cost of making the shirts<BR>\n" );
document.write( "240x + b = 6952<BR>\n" );
document.write( " 80x + b = 3912<BR>\n" );
document.write( "------------------subtraction eliminates b, find x<BR>\n" );
document.write( "160x + 0 = 3040<BR>\n" );
document.write( "x = 3040/16<BR>\n" );
document.write( "x = $19 the cost to make each shirt<BR>\n" );
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document.write( "Find the fixed cost<BR>\n" );
document.write( "80(19) + b = 3912<BR>\n" );
document.write( "b = 3912 - 1520<BR>\n" );
document.write( "b = $2392 is the fixed cost.<BR>\n" );
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document.write( "what is the equation for the revenue function?:<BR>\n" );
document.write( " R(x) = 45x<BR>\n" );
document.write( "What is the equation for the total cost function?<BR>\n" );
document.write( "C(x) = 19x + 2392<BR>\n" );
document.write( "Find the break even quantity.<BR>\n" );
document.write( "Rev = cost<BR>\n" );
document.write( "45x = 19x + 2392<BR>\n" );
document.write( "45x - 19x = 2392<BR>\n" );
document.write( "26x = 2392<BR>\n" );
document.write( "x = 2392/26<BR>\n" );
document.write( "x = 92 shirts to break even<BR>\n" );
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document.write( "Check this with 92 shirts<BR>\n" );
document.write( "92(45) = $4140<BR>\n" );
document.write( "92(19) + 2392 = $4140 also </SPAN>\n" );
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