document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252504>Question 252504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a campground rents campsites for $12 per night. at this rate, all 90 campsites are usually rented. for each $1 increase in the price per night, about 3 less sites are rented. the campground's nightly revenue can be modeled by R=(90-3x)(12+x). use the vertex form to find how the campground can maximize nightly revenue </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184521 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> R=(90-3x)(12+x). use the vertex form to find how the campground can maximize nightly revenue<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "R(x) = -3x^2-36x+90x+12*90<BR>\n" );
document.write( "R(x) = -3x^2+ 54x + 1080<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Convert to vertex form by completing the square:<BR>\n" );
document.write( "R(x)-1080-3*? = -3(x^2-18x+?)<BR>\n" );
document.write( "R(x)-1080-3*81 = -3(x^2-18x+81)<BR>\n" );
document.write( "R(x)-1323 = -3(x-9)^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Vertex: (9,1323)<BR>\n" );
document.write( "Increase the price by $9; Revenue will be $1323.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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