document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174257>Question 1174257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the unit cost per gizmo is $30,the fixed cost for making gizmos is $1,200. 60 gizmos must be sold in order to break even.<BR>\n" );
document.write( "*Find linear cost function<BR>\n" );
document.write( "*Find linear revenue function <BR>\n" );
document.write( "*Find linear profit function<BR>\n" );
document.write( "Show work with all steps </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799670 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=799670\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The cost function is the fixed cost plus the per-gizmo cost:<BR>\n" );
document.write( "C(x) = 1200+30x, where x is the number of gizmos produced.<br><BR>\n" );
document.write( "The cost of producing 60 gizmos is $1200+$30(60) = $3000. To break even when selling 60 gizmos, the selling price per gizmo must be $3000/60 = $50.  So the revenue function is<BR>\n" );
document.write( "R(x) = 50x<br><BR>\n" );
document.write( "The profit is revenue minus cost:<BR>\n" );
document.write( "P(x) = 50x - (1200+30x)<BR>\n" );
document.write( "P(x) = 20x - 1200<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );