document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=551458>Question 551458</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The profit, p(t), a tie company makes is given by the equation <BR>\n" );
document.write( "p(t)=-16t squared+64t-48, where is the number of ties sold. For what values of t does the company make a profit?<BR>\n" );
document.write( "P.S- this question is advanced algebra/trigonometry<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #359740 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=359740\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A (positive) profit is made when p(t) > 0. Hence we set\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -16t^2 + 64t - 48 > 0\">, for sake of simplicity I'll divide by -16 (remember to reverse the inequality sign)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE t^2 - 4t + 3 < 0\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (t-3)(t-1) < 0\">\r<BR>\n" );
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document.write( "At t = 1 or t = 3, p(t) = 0. Strangely, t = 2 is the only integer value that will return a positive amount of profit... </SPAN>\n" );
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