document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001621>Question 1001621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $1 per square foot and the metal for the sides costs $5 per square foot. Find the dimensions that minimize cost if the box has a volume of 25 cubic feet. \r<BR>\n" );
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document.write( "Thanks to whoever helps! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618737 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=618737\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x, side length of top and bottom;<BR>\n" );
document.write( "y, height of the box;<BR>\n" );
document.write( "Total area, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B4xy ALIGN=MIDDLE  ALT=\"2x%5E2%2B4xy\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "Volume, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Ay=25 ALIGN=MIDDLE  ALT=\"x%5E2%2Ay=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The AREA is the function you want to study for its cost.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28xANDy%29=1%2A2x%5E2%2B5%2A4xy ALIGN=MIDDLE  ALT=\"C%28xANDy%29=1%2A2x%5E2%2B5%2A4xy\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Ay=25 ALIGN=MIDDLE  ALT=\"x%5E2%2Ay=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You want to make C(x)  OR  C(y), and you use the volume relationship to do this.  You can find the minimum cost from there.  Best might be to start with  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=25%2Fx%5E2 ALIGN=MIDDLE  ALT=\"y=25%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Substitute,....\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28x%29=2x%5E2%2B20x%2825%2Fx%5E2%29 ALIGN=MIDDLE  ALT=\"C%28x%29=2x%5E2%2B20x%2825%2Fx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28C%28x%29=2x%5E2%2B500%2Fx%29 ALIGN=MIDDLE  ALT=\"highlight%28C%28x%29=2x%5E2%2B500%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----Can you look for the minimum cost using this cost as a function of x? </SPAN>\n" );
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