document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120310>Question 1120310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dalco manufacturing estimate that its weekly profit, P, in hundreds of dollars, can be approximately by the formula P= -2X SQUARE + 4 X +3, where X is the number of units produced per week, in thousand.<BR>\n" );
document.write( "a. How many units should the company produce per week to earn the maximum profit?<BR>\n" );
document.write( "b. Find the maximum weekly profit?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735977 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=735977\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(a) The maximum value of the expression ax^2+bx+c (where a is negative) is at x = -b/2a.  For the expression in this problem, x = -4/(2(-2)) = 1.<br><BR>\n" );
document.write( "Since the units are thousands, the maximum profit will be when the number of units produced per week is 1,000.<br><BR>\n" );
document.write( "(b) The maximum profit, in hundreds of dollars, is the value of the expression when x = 1: -2+4+3 = 5 (hundred dollars)<br><BR>\n" );
document.write( "Not much of a business.... produce 1000 items in a week to make a profit of $500.... </SPAN>\n" );
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