document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=476925>Question 476925</A>: <I><SPAN STYLE=\"word-break: break-all;\"> THE COST, IN MILLIONS OF DOLLARS, TO REMOVE X % OF THE POLLUTANT <BR>\n" );
document.write( "WHAT IS THE COST TO REMOVE 99% OF THE POLLUTANT\r<BR>\n" );
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document.write( "C = 6000<BR>\n" );
document.write( "    _____<BR>\n" );
document.write( "    200-2x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #327013 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=327013\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the cost to remove x% of the pollutant is given by the equation:<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6000%2F%28200-2x%29 ALIGN=MIDDLE  ALT=\"6000%2F%28200-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if i understand this equation correctly, then the cost to remove 0% of the pollutant is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6000%2F200 ALIGN=MIDDLE  ALT=\"6000%2F200\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 30 million dollars.<BR>\n" );
document.write( "that's the fixed cost for doing nothing except setting up the necessary infrastructure in order to be able to remove the pollutant, but not actually removing any pollutant.<BR>\n" );
document.write( "if i want to remove 100% of the pollution, then the cost will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6000%2F%28200-200%29 ALIGN=MIDDLE  ALT=\"6000%2F%28200-200%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6000%2F0 ALIGN=MIDDLE  ALT=\"6000%2F0\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is undefined, so i could never remove 100% of the pollution.<BR>\n" );
document.write( "if i want to remove 99% of the pollution, then the cost will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6000%2F%28200-198%29 ALIGN=MIDDLE  ALT=\"6000%2F%28200-198%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which equals 3000 million dollars which is equivalent to 3 billion dollars.<BR>\n" );
document.write( "based on the equation, and the fact that you are talking about x%, i believe that's the way the equation would be use.<BR>\n" );
document.write( "i thought of converting % to rate by dividing it by 100, but i don't think that's proper in this case.<BR>\n" );
document.write( "if i did that, then 99% would be equal to .99 and the cost would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6000%2F%28200-1.98%29 ALIGN=MIDDLE  ALT=\"6000%2F%28200-1.98%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6000%2F%28198.2%29 ALIGN=MIDDLE  ALT=\"6000%2F%28198.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 30.2999697 million.<BR>\n" );
document.write( "somehow that doesn't look right.<BR>\n" );
document.write( "too much fixed cost and not enough variable cost.<BR>\n" );
document.write( "i would go with the original assumption.<BR>\n" );
document.write( "with that assumption, the answer would be 3 billion dollars.<BR>\n" );
document.write( "a graph of your equation would look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-20%2C120%2C-1000%2C5000%2C6000%2F%28200-2x%29%2C3000%2C5000%2A%28x-100%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the horizontal line is at 3000 million dollars which is right around the 99% point.<BR>\n" );
document.write( "there's an asymptote at x = 100 because the value of y is undefined there.<BR>\n" );
document.write( "looks like the cost is relatively small until you get to 90% or  so.<BR>\n" );
document.write( "the following graph might show those smaller numbers clearer.<BR>\n" );
document.write( "the following graph shows that the cost at 90% is equal to 300 million.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-15%2C95%2C-100%2C500%2C6000%2F%28200-2x%29%2C300%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-15%2C95%2C-100%2C500%2C6000%2F%28200-2x%29%2C300%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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