document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=375890>Question 375890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pauline wants to sell stainless steel water bottles as a school fundraiser.  She knows that she will maximze prophits and raise 1024 dollars if she sells the bottles for 28 dollars each.  she also knows that she will lose 4160 dollars if she sells the bottles for only 10 dollars each.  <BR>\n" );
document.write( "a) Write a quadratic relation to model her profit.  P in dollars if she sells the bottles for x dollars each<BR>\n" );
document.write( "b) What selling price will ensure that she breaks even  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #267587 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=267587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> She knows that she will maximze prophits and raise 1024 dollars if she sells<BR>\n" );
document.write( " the bottles for 28 dollars each. <BR>\n" );
document.write( "she also knows that she will lose 4160 dollars if she sells the bottles for only 10 dollars each.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find how many bottles are being sold. Let n = no. of bottles sold<BR>\n" );
document.write( "28n = 1024<BR>\n" );
document.write( "10n = -4160<BR>\n" );
document.write( "-------------subtract<BR>\n" );
document.write( "18n - 5184<BR>\n" );
document.write( "n = 5184/18<BR>\n" );
document.write( "n = 288 bottles<BR>\n" );
document.write( "Find the profit made on each bottle<BR>\n" );
document.write( "1084/288 = $3.76<BR>\n" );
document.write( "find the cost of each bottle<BR>\n" );
document.write( "28 - 3.76 = $24.24<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a) Write a quadratic relation to model her profit.<BR>\n" );
document.write( " P in dollars if she sells the bottles for x dollars each<BR>\n" );
document.write( ":<BR>\n" );
document.write( "P = 288(x - 24.24)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b) What selling price will ensure that she breaks even<BR>\n" );
document.write( "288(x - 24.24) = 0<BR>\n" );
document.write( "288x - 6981.12 = 0<BR>\n" );
document.write( "288x = 6981.12<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6981.12%2F288 ALIGN=MIDDLE  ALT=\"6981.12%2F288\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = $24.24, will break even (obviously) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );