document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56580>Question 56580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume the cost of a company picnic is described by the function<BR>\n" );
document.write( "P(n)=(1/2)n^2-10n +80<BR>\n" );
document.write( "where n represents the number of employees and family members attending the picnic and P (in dollars) represents the cost of the picnic.  How many employees and guests in attendance produce a Minimum Cost?  What is the Minimum cost for this event? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38483 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=38483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(n)=(1/2)n^2-10n +80<BR>\n" );
document.write( "You have a quadratic with a=1/2, b=-10<BR>\n" );
document.write( "Minimum is at n=-b/2a = 10/(1)= 10 people attending.<BR>\n" );
document.write( "P(10)= (1/2)100-10(10)+80<BR>\n" );
document.write( "P(10)= 50-20= $30 (the cost of the party)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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