document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=818234>Question 818234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello can someone please help with this word problem.<BR>\n" );
document.write( "A certain bakery has found that the daily demand for blueberry muffins is 3200/p, where p is the price on a muffin in cents. The daily support is 3p-200. Find the price at which supply and demand are equal.<BR>\n" );
document.write( "I get 35 and my answer key is saying .80 so I was hoping to get some help here<BR>\n" );
document.write( "3200/p = 3p-200<BR>\n" );
document.write( "then I multiplied by p<BR>\n" );
document.write( "which gave me 3200=3p^2-200p<BR>\n" );
document.write( "in standard form<BR>\n" );
document.write( "3p^2-200p-3200=<BR>\n" );
document.write( "this was my start and in the end I ended up with 35. Is my start wrong?<BR>\n" );
document.write( "Thank you! :-) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492421 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=492421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your start is right, you must have made some calculation error.<BR>\n" );
document.write( "If supply is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3p-200 ALIGN=MIDDLE  ALT=\"3p-200\"   DISABLED_style= \"max-width:90%; height:auto;\" > and demand is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3200%2Fp ALIGN=MIDDLE  ALT=\"3200%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3200%2Fp+=+3p-200 ALIGN=MIDDLE  ALT=\"3200%2Fp+=+3p-200\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the right equation to make supply equal demand.<BR>\n" );
document.write( "Also, from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3200%2Fp+=+3p-200 ALIGN=MIDDLE  ALT=\"3200%2Fp+=+3p-200\"   DISABLED_style= \"max-width:90%; height:auto;\" > you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3200=3p%5E2-200p ALIGN=MIDDLE  ALT=\"3200=3p%5E2-200p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3p%5E2-200p-3200=0 ALIGN=MIDDLE  ALT=\"3p%5E2-200p-3200=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > as you meant to write.<BR>\n" );
document.write( " <BR>\n" );
document.write( "I see 3 ways to solve that equation:<BR>\n" );
document.write( "factoring, completing the square, and using the quadratic formula.<BR>\n" );
document.write( "Since I had my calculator next to me,<BR>\n" );
document.write( "I found it easier to use the quadratic formula,<BR>\n" );
document.write( "which says that the solutions to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be calculated as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%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( "In your case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=3 ALIGN=MIDDLE  ALT=\"a=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-200 ALIGN=MIDDLE  ALT=\"b=-200\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-3200 ALIGN=MIDDLE  ALT=\"c=-3200\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28200+%2B-+sqrt%28200%5E2-4%2A3%2A%28-3200%29%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"x+=+%28200+%2B-+sqrt%28200%5E2-4%2A3%2A%28-3200%29%29%29%2F%282%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28200+%2B-+sqrt%2840000-38400%29%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%28200+%2B-+sqrt%2840000-38400%29%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28200+%2B-+sqrt%2878400%29%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%28200+%2B-+sqrt%2878400%29%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28200+%2B-+280%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%28200+%2B-+280%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The solution with the minus sign, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28200-280%29%2F6=-80%2F6=-40%2F3 ALIGN=MIDDLE  ALT=\"x=%28200-280%29%2F6=-80%2F6=-40%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "does not make sense, because the price has to be a positive number of cents.<BR>\n" );
document.write( "The other solution is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28200%2B280%29%2F6=480%2F6=80 ALIGN=MIDDLE  ALT=\"x=%28200%2B280%29%2F6=480%2F6=80\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "meaning that pricing each muffin at 80 cents will make supply meet demand. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );