document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=783865>Question 783865</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It is desired to have an open bin with a square bottom,rectangular sides,and a height of 3m.If the material for the bottom costs $5.40 per square meter and the material for the sides costs $2.40 per square meter and the material for the sides costs $2.40 per square meter,what is the volume of the bin that can be constructed for $63 worth of material? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #476947 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=476947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One bottom, and four sides.\r<BR>\n" );
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document.write( "Let x = length of side of bottom, a square shape.\r<BR>\n" );
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document.write( "Let 3 = length of side for dimension of the three-D figure, perpendicular to the square bottom, which is the height of the bin.  3 is how tall the bin.\r<BR>\n" );
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document.write( "Area of the bottom of the bin is <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 the cost is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.40%2Ax%5E2 ALIGN=MIDDLE  ALT=\"5.40%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Area for all four sides of the bin is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%283x%29 ALIGN=MIDDLE  ALT=\"4%2A%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the cost is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.40%2A%284%29%283x%29 ALIGN=MIDDLE  ALT=\"2.40%2A%284%29%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Wanted is cost be $63.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.40x%5E2%2B%282.40%294%283x%29=63 ALIGN=MIDDLE  ALT=\"5.40x%5E2%2B%282.40%294%283x%29=63\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.4x%5E2%2B2.4%2A12x=63 ALIGN=MIDDLE  ALT=\"5.4x%5E2%2B2.4%2A12x=63\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.4x%5E2%2B28.8x=63 ALIGN=MIDDLE  ALT=\"5.4x%5E2%2B28.8x=63\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by 10 and divide by 6,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B48x=70 ALIGN=MIDDLE  ALT=\"9x%5E2%2B48x=70\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is maybe the easiest equivalent of the equation to work with.<BR>\n" );
document.write( "Put in more general form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%289x%5E2%2B48x-70=0%29 ALIGN=MIDDLE  ALT=\"highlight%289x%5E2%2B48x-70=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Directly use general solution to quadratic equation.<BR>\n" );
document.write( "Discrim, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2848%29%5E2-4%2A9%2A%28-70%29=48%5E2%2B2520=4824 ALIGN=MIDDLE  ALT=\"%2848%29%5E2-4%2A9%2A%28-70%29=48%5E2%2B2520=4824\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A1201 ALIGN=MIDDLE  ALT=\"4%2A1201\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-48%2Bsqrt%284%2A1201%29%29%2F%282%2A9%29 ALIGN=MIDDLE  ALT=\"x=%28-48%2Bsqrt%284%2A1201%29%29%2F%282%2A9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-48%2B2%2Asqrt%281201%29%29%2F%282%2A9%29 ALIGN=MIDDLE  ALT=\"x=%28-48%2B2%2Asqrt%281201%29%29%2F%282%2A9%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%28x=%28-24%2Bsqrt%281201%29%29%2F9%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%28-24%2Bsqrt%281201%29%29%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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