document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872608>Question 872608</A>: <I><SPAN STYLE=\"word-break: break-all;\"> assume that the profit p made when t units are sold, t>0 is given by p(t)=t^2-24t+108. For what values of t will there be a profit? (that is, p>0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526250 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=526250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Discriminant is 144, so p=0 for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%2824-sqrt%28144%29%29%2F2 ALIGN=MIDDLE  ALT=\"t=%2824-sqrt%28144%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824%2Bsqrt%28144%29%29%2F2 ALIGN=MIDDLE  ALT=\"%2824%2Bsqrt%28144%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "or for t=6 and at t=18.\r<BR>\n" );
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document.write( "The function has a minimum, so the zeros are the boundaries for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%3C0 ALIGN=MIDDLE  ALT=\"p%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Profit occurs for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3Ct%3C6 ALIGN=MIDDLE  ALT=\"0%3Ct%3C6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%3Ct ALIGN=MIDDLE  ALT=\"18%3Ct\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-3%2C25%2C-10%2C160%2Cx%5E2-24x%2B108%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-3%2C25%2C-10%2C160%2Cx%5E2-24x%2B108%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Assumption is that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%3C0 ALIGN=MIDDLE  ALT=\"t%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > has no practical meaning. </SPAN>\n" );
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