document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=430209>Question 430209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The profit that the vendor makes per day by selling x pretzels is given by the function P(x)=-0.002x(squared)+1.4x-150. Find the number of pretzels that must be sold to maximized profit. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #298778 by </B><A HREF=/tutors/aboutme.mpl?userid=Sphinx+pinastri><B>Sphinx pinastri(17)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Sphinx+pinastri><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=Sphinx+pinastri><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=298778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I wonder why the profit is negative when x is large?<BR>\n" );
document.write( "Anyway, let's take the derivative:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dP%2Fdx+=+-0.004x+%2B+1.4 ALIGN=MIDDLE  ALT=\"dP%2Fdx+=+-0.004x+%2B+1.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Derivative is equal 0 at extrema.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.004x+=+1.4 ALIGN=MIDDLE  ALT=\"0.004x+=+1.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+350 ALIGN=MIDDLE  ALT=\"x+=+350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );