document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=723863>Question 723863</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5.	 Will this profit function have a maximum, if so, what is it?\r<BR>\n" );
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document.write( "To find the maximum, I will use the formula;<BR>\n" );
document.write( " P(x) = -.1x2 + 50x - 300, where x is the number of items sold, x &#8805; 0.\r<BR>\n" );
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document.write( "these are the numbers to use in this function<BR>\n" );
document.write( "90	34419<BR>\n" );
document.write( "80	33936<BR>\n" );
document.write( "70	33451<BR>\n" );
document.write( "60	32964<BR>\n" );
document.write( "50	54975<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 #443443 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=443443\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Will this profit function have a maximum, if so, what is it? <BR>\n" );
document.write( "To find the maximum, I will use the formula;<BR>\n" );
document.write( "P(x) = -.1x2 + 50x - 300, where x is the number of items sold, x &#8805; 0.<BR>\n" );
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document.write( "Since the coefficient of x^2 is negative P(x) has a maximum value<BR>\n" );
document.write( "at the vertex.<BR>\n" );
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document.write( "Vertex occurs where x = -b/(2a) = -50/(2*-0.1) = 250<BR>\n" );
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document.write( "Max value = P(250) = 5950<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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