document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033491>Question 1033491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The daily production costs C( in dollars per unit) for a manufacturer of lighting fixtures are given by the quadratic function C(X)=800-10X+0.25X2 where x is the number of units produced. How many fixtures should be produced to yield a minimum cost per unit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648206 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=648206\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "The daily production costs C( in dollars per unit) for a manufacturer of lighting fixtures are given <BR>\n" );
document.write( "by the quadratic function C(X)=800-10X+0.25X2 where x is the number of units produced. How many fixtures should be produced <BR>\n" );
document.write( "to yield a minimum cost per unit?<BR>\n" );
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document.write( "Use the formula for the vertex of a parabola x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%2F2a ALIGN=MIDDLE  ALT=\"-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In your case b = -10, a = 0.25.\r<BR>\n" );
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document.write( "Hence, X = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28%28-10%29%2F0.25%29 ALIGN=MIDDLE  ALT=\"-%28%28-10%29%2F0.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F0.25 ALIGN=MIDDLE  ALT=\"10%2F0.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 40.\r<BR>\n" );
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