document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014285>Question 1014285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jessica sells T-shirts from her small kiosk in the shopping mall. On average,  she sells 30 T-shirts per day at a price of $19.00 each. She estimates that she will sell 3 additional shirts each day for every $1 reduction in the price per T-shirt. \r<BR>\n" );
document.write( "\n" );
document.write( "Find a quadratic function modeling Jessica's daily revenue as related to reduction in price and the range of prices which would allow her to maintain  or increase her current revenue. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630597 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=630597\">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;\" > = number of $1 increases in price<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+ ALIGN=MIDDLE  ALT=\"+R+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = daily revenue<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+%28+30+%2B+3n+%29%2A%28+19+-+1%2An+%29+ ALIGN=MIDDLE  ALT=\"+R+=+%28+30+%2B+3n+%29%2A%28+19+-+1%2An+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+570+%2B+57n+-+30n+-+3n%5E2+ ALIGN=MIDDLE  ALT=\"+R+=+570+%2B+57n+-+30n+-+3n%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+-3n%5E2+%2B+27n+%2B+570+ ALIGN=MIDDLE  ALT=\"+R+=+-3n%5E2+%2B+27n+%2B+570+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Note that if there are no reductions in price ( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n=0+ ALIGN=MIDDLE  ALT=\"+n=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+570+ ALIGN=MIDDLE  ALT=\"+R+=+570+\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+30%2A19+ ALIGN=MIDDLE  ALT=\"+R+=+30%2A19+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "What is the other value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > that gives me <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+570+ ALIGN=MIDDLE  ALT=\"+R+=+570+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+-3n%5E2+%2B+27n+%2B+570+ ALIGN=MIDDLE  ALT=\"+R+=+-3n%5E2+%2B+27n+%2B+570+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=570+=+-3n%5E2+%2B+27n+%2B+570+ ALIGN=MIDDLE  ALT=\"570+=+-3n%5E2+%2B+27n+%2B+570+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3n%5E2+%2B+27n+=+0+ ALIGN=MIDDLE  ALT=\"+-3n%5E2+%2B+27n+=+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%2A%28+-3n+%2B+27+%29+=+0+ ALIGN=MIDDLE  ALT=\"+n%2A%28+-3n+%2B+27+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3n+%2B+27+=+0+ ALIGN=MIDDLE  ALT=\"+-3n+%2B+27+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3n+=+27+ ALIGN=MIDDLE  ALT=\"+3n+=+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+9+ ALIGN=MIDDLE  ALT=\"+n+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Her revenue will be equal to or greater than $570 if the<BR>\n" );
document.write( "$1 increases are between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+ ALIGN=MIDDLE  ALT=\"+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+ ALIGN=MIDDLE  ALT=\"+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That converts to price ranges of:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+19+-+1%2A0+=+19+ ALIGN=MIDDLE  ALT=\"+19+-+1%2A0+=+19+\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars/shirt<BR>\n" );
document.write( "to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+19+-+1%2A9+=+10+ ALIGN=MIDDLE  ALT=\"+19+-+1%2A9+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars/shirt<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Here's a plot of  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+ ALIGN=MIDDLE  ALT=\"+R+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+ ALIGN=MIDDLE  ALT=\"n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+570+ ALIGN=MIDDLE  ALT=\"+R+=+570+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-2%2C+12%2C+-50%2C+700%2C+-3x%5E2+%2B+27x+%2B+570%2C+570+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-2%2C+12%2C+-50%2C+700%2C+-3x%5E2+%2B+27x+%2B+570%2C+570+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );