document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=323550>Question 323550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Stan can be paid in one of two ways <BR>\n" );
document.write( "Plan A - $900 per month plus a 10% commission on all sales<BR>\n" );
document.write( "or<BR>\n" );
document.write( "Plan B - $1200 per month plus a 15% commission on all sales over $8000\r<BR>\n" );
document.write( "\n" );
document.write( "If we assume that Stan always sells more than $8000, when is plan B better?\r<BR>\n" );
document.write( "\n" );
document.write( "The book says for values > $18,000.....but I don't get it.... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #231578 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=231578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There is a linear relation in both plans between<BR>\n" );
document.write( "Earnings/month = (flat wages)/month + (commission earned/month)<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "plan A:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E+=+900+%2B+.1s ALIGN=MIDDLE  ALT=\"E+=+900+%2B+.1s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "plan B: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E+=+1200+%2B+.15%2A%28s+-+8000%29 ALIGN=MIDDLE  ALT=\"E+=+1200+%2B+.15%2A%28s+-+8000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The 2nd term doesn't come into play until <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+%3E+8000 ALIGN=MIDDLE  ALT=\"s+%3E+8000\"   DISABLED_style= \"max-width:90%; height:auto;\" >, otherwise<BR>\n" );
document.write( "Stan would be penalized if sales were less than $8000<BR>\n" );
document.write( "The question is: when is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E ALIGN=MIDDLE  ALT=\"E\"   DISABLED_style= \"max-width:90%; height:auto;\" > the same under both plans?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=900+%2B+.1s+=+1200+%2B+.15%2A%28s+-+8000%29 ALIGN=MIDDLE  ALT=\"900+%2B+.1s+=+1200+%2B+.15%2A%28s+-+8000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=900+%2B+.1s+=+1200+%2B+.15s+-+1200 ALIGN=MIDDLE  ALT=\"900+%2B+.1s+=+1200+%2B+.15s+-+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.05s+=+900 ALIGN=MIDDLE  ALT=\".05s+=+900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+18000 ALIGN=MIDDLE  ALT=\"s+=+18000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When sales are over $1800, plan B is better<BR>\n" );
document.write( "I can plot these plans with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E ALIGN=MIDDLE  ALT=\"E\"   DISABLED_style= \"max-width:90%; height:auto;\" > = vertical axis in thousands of dollars<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > = horizontal in thousands of dollars<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-1%2C+25%2C+-1%2C+4%2C+.9+%2B+.1x%2C++.15x++%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-1%2C+25%2C+-1%2C+4%2C+.9+%2B+.1x%2C++.15x++%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );