document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4789>Question 4789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A soft-drink manufacturer has daily production costs of\r<BR>\n" );
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document.write( "C = 70,000 - 120x + 0.055x^2\r<BR>\n" );
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document.write( "where C is the total cost (in dollars) and x is the number of units produced. How many units should be produced each day to yield a minimum cost? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2286 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This graph is actually a parabola opening upward.  The minimun cost will occur at the vertex, which is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%29%2F%282a%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b%29%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where a is the coefficient of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and b is the coefficient of x.  In this case, a=0.055 and b= -120.\r<BR>\n" );
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document.write( "Minimum cost = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F%282%2A0.055%29 ALIGN=MIDDLE  ALT=\"120%2F%282%2A0.055%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F0.11 ALIGN=MIDDLE  ALT=\"120%2F0.11\"   DISABLED_style= \"max-width:90%; height:auto;\" >= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12000%2F11 ALIGN=MIDDLE  ALT=\"12000%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1090.9 or 1091 units.\r<BR>\n" );
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document.write( "Things usually come out better than that, but then life doesn't always come out even, does it?  \r<BR>\n" );
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document.write( "R^2 at SCC  </SPAN>\n" );
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