document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190011>Question 1190011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dilan, a high school student, provides lawn-cutting services during his summer vacation. In the past,<BR>\n" );
document.write( "he has averaged 25 clients a week, charging $8 per lawn. After conducting a neighborhood survey,<BR>\n" );
document.write( "Dilan realizes that for every $2 increase in price for lawn-cutting, he expects to lose 2 clients.<BR>\n" );
document.write( "Determine how much he should charge per lawn to maximize his revenue.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821566 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=821566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x= 2 clients and $2 <BR>\n" );
document.write( "x=1 fewer client and $1 more dollar per lawn.<BR>\n" );
document.write( "currently 25 clients*$8/client or $200.<BR>\n" );
document.write( "(25-x)($8+x)=200+17x-x^2<BR>\n" );
document.write( "This is maximum at the vertex of -b/2a=-17/-2 or 8.5<BR>\n" );
document.write( "has 25-8.50 or 16.5 customers<BR>\n" );
document.write( "charges $16.50 per lawn<BR>\n" );
document.write( "$276.38<BR>\n" );
document.write( "has to be 16 or 17 customers.<BR>\n" );
document.write( "16 would charge  $17 for $272<BR>\n" );
document.write( "17 would charge $16 for the same, $272<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-20%2C20%2C-50%2C300%2C-x%5E2%2B17x%2B200%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-20%2C20%2C-50%2C300%2C-x%5E2%2B17x%2B200%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "can check<BR>\n" );
document.write( "23 clients with $10 ($230)<BR>\n" );
document.write( "21 with with $12 ($252)<BR>\n" );
document.write( "19 with $14 ($266)<BR>\n" );
document.write( "17 with $16 ($272)<BR>\n" );
document.write( "15 with $18 (270)<BR>\n" );
document.write( "13 with $20 (260)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );