document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=720182>Question 720182</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an open tank with square bases is to have a volume of 10 cu. m. the materials for its bottom is to cost P15.00 per square meter and that for the sides P6.00 per square meter . find the most economical dimension for the tank </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441705 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=441705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> an open tank with square bases is to have a volume of 10 cu. m.<BR>\n" );
document.write( " the materials for its bottom is to cost P15.00 per square meter and that<BR>\n" );
document.write( " for the sides P6.00 per square meter . <BR>\n" );
document.write( "find the most economical dimension for the tank<BR>\n" );
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document.write( "let x = one side of the square base<BR>\n" );
document.write( "let h = the height of the open box<BR>\n" );
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document.write( "The volume<BR>\n" );
document.write( "x^2*h = 10<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fx%5E2 ALIGN=MIDDLE  ALT=\"10%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The surface area cost<BR>\n" );
document.write( "Bottom: 15x^2<BR>\n" );
document.write( "4sides: 6(4xh) = 24xh<BR>\n" );
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document.write( "Total cost (c)<BR>\n" );
document.write( "c = 15x^2 + 24xh<BR>\n" );
document.write( "replace h with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fx%5E2 ALIGN=MIDDLE  ALT=\"10%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 15x^2 + 24x*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fx%5E2 ALIGN=MIDDLE  ALT=\"10%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel<BR>\n" );
document.write( "c = 15x^2 + 24<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fx ALIGN=MIDDLE  ALT=\"10%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "c = 15x^2 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2Fx ALIGN=MIDDLE  ALT=\"240%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Graphing this would be the easiest way to find minimum cost<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+8%2C+-50%2C+300%2C+15x%5E2%2B%28240%2Fx%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+8%2C+-50%2C+300%2C+15x%5E2%2B%28240%2Fx%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "minimum cost when x=2 meters is the side of the square base<BR>\n" );
document.write( "find the height<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F2%5E2 ALIGN=MIDDLE  ALT=\"10%2F2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "h = 2.5 meters is the height </SPAN>\n" );
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