document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154160>Question 1154160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An 150-unit apartment complex currently collects $90,000 per month in rent. Rent on each apartment is $600. The new management company wants to increase revenues to $113,400. But for each $25 increase, two tenants will move out. How many rent increases will be needed to produce revenue of $113,400?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776533 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=776533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the number of $25 increases in rent<BR>\n" );
document.write( "I assume that 1 tenant moving out means 1 apartment<BR>\n" );
document.write( "becoming vacant<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "[ total monthly rent ] = [ rent/apt + increase ] x [ decreased number of apps ]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+113400+=+%28+600+%2B+25n+%29%2A%28+150+-+2n+%29+ ALIGN=MIDDLE  ALT=\"+113400+=+%28+600+%2B+25n+%29%2A%28+150+-+2n+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+113400+=+90000+%2B+3750n+-+1200n+-+50n%5E2+ ALIGN=MIDDLE  ALT=\"+113400+=+90000+%2B+3750n+-+1200n+-+50n%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50+ ALIGN=MIDDLE  ALT=\"+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2268+=+1800+%2B+75n+-+24n+-+n%5E2+ ALIGN=MIDDLE  ALT=\"+2268+=+1800+%2B+75n+-+24n+-+n%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-n%5E2+%2B+51n+-+468+=+0+ ALIGN=MIDDLE  ALT=\"+-n%5E2+%2B+51n+-+468+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28-51+%2B-+sqrt%28+51%5E2-4%2A%28-1%29%2A%28-468%29+%29%29%2F%282%2A%28-1%29%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28-51+%2B-+sqrt%28+51%5E2-4%2A%28-1%29%2A%28-468%29+%29%29%2F%282%2A%28-1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28-51+%2B-+sqrt%28+2601+-+1872+%29%29%2F%28%28-2%29%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28-51+%2B-+sqrt%28+2601+-+1872+%29%29%2F%28%28-2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28-51+%2B-+sqrt%28+729+%29%29%2F%28%28-2%29%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28-51+%2B-+sqrt%28+729+%29%29%2F%28%28-2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28+-51+%2B+27+%29+%2F+%28-2%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28+-51+%2B+27+%29+%2F+%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28-24%29%2F%28-2%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28-24%29%2F%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+12+ ALIGN=MIDDLE  ALT=\"+n+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The other answer is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28+-51+-+27+%29+%2F+%28-2%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28+-51+-+27+%29+%2F+%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28-78%29+%2F+%28-2%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28-78%29+%2F+%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+39+ ALIGN=MIDDLE  ALT=\"+n+=+39+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+113400+=+%28+600+%2B+25n+%29%2A%28+150+-+2n+%29+ ALIGN=MIDDLE  ALT=\"+113400+=+%28+600+%2B+25n+%29%2A%28+150+-+2n+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+113400+=+%28+600+%2B+25%2A12+%29%2A%28+150+-+2%2A12+%29+ ALIGN=MIDDLE  ALT=\"+113400+=+%28+600+%2B+25%2A12+%29%2A%28+150+-+2%2A12+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+113400+=+%28+600+%2B+300+%29%2A%28+150+-+24+%29+ ALIGN=MIDDLE  ALT=\"+113400+=+%28+600+%2B+300+%29%2A%28+150+-+24+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+113400+=+900%2A126+ ALIGN=MIDDLE  ALT=\"+113400+=+900%2A126+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+113400+=+113400+ ALIGN=MIDDLE  ALT=\"+113400+=+113400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+113400+=+%28+600+%2B+25n+%29%2A%28+150+-+2n+%29+ ALIGN=MIDDLE  ALT=\"+113400+=+%28+600+%2B+25n+%29%2A%28+150+-+2n+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+113400+=+%28+600+%2B+25%2A39+%29%2A%28+150+-+2%2A39+%29+ ALIGN=MIDDLE  ALT=\"+113400+=+%28+600+%2B+25%2A39+%29%2A%28+150+-+2%2A39+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+113400+=+%28+600+%2B+975+%29%2A%28+150+-+78+%29+ ALIGN=MIDDLE  ALT=\"+113400+=+%28+600+%2B+975+%29%2A%28+150+-+78+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+113400+=+1575%2A72+ ALIGN=MIDDLE  ALT=\"+113400+=+1575%2A72+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+113400+=+113400+ ALIGN=MIDDLE  ALT=\"+113400+=+113400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Either 12 or 39 rent increases will produce<BR>\n" );
document.write( "a revenue of $113,400<BR>\n" );
document.write( "( depends of whether they want <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2n+=+24+ ALIGN=MIDDLE  ALT=\"+2n+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" > empty apts<BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2n+=+78+ ALIGN=MIDDLE  ALT=\"+2n+=+78+\"   DISABLED_style= \"max-width:90%; height:auto;\" > empty apts )<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Get a 2nd opinion if needed\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );