document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128650>Question 1128650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The expense, in dollars, to manufacture a asks of 100% Organic Guru Energy drink is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k%28a%29+=+10a%2B100+ ALIGN=MIDDLE  ALT=\"+k%28a%29+=+10a%2B100+\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%3E=+0+ ALIGN=MIDDLE  ALT=\"+a+%3E=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The price-demand function, in dollars per ask, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p%28a%29+=+35-a+ ALIGN=MIDDLE  ALT=\"+p%28a%29+=+35-a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+%3C=+a+%3C=+35+ ALIGN=MIDDLE  ALT=\"+0+%3C=+a+%3C=+35+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "Solve k(a)=0 and interpret. <BR>\n" );
document.write( "Solve p(a)=0 and interpret. \r<BR>\n" );
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document.write( "(Please notice the comma between k(a) and the inequality, alongside p(a) and the inequality. The problem calls to interpret, I don't think that really means anything... This is a 'basic college algebra' class problem, not so basic for me though) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #745141 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=745141\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Dollars per \"ask\"?  Come on, please proofread your posts BEFORE you hit send.\r<BR>\n" );
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document.write( "Of course \"interpret\" means something.  It means that you are supposed to describe the meaning of the mathematical model in real life terms.\r<BR>\n" );
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document.write( "Consider <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE k(a)\ =\ 0\">.  Since <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE k(a)\ =\ 0\ \Right a\ =\ -10\"> but <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE a\"> is restricted to the non-negative integers, the solution set of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE k(a)\ =\ 0\"> is the null set.  That is to say, there is no positive integer <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE a\"> so that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 10a\ +\ 100\ =\ 0\">.  In real life terms, even if you didn't manufacture ANY \"asks\" of 100% Organic Guru Energy drink, you would never have a zero expense.\r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE p(a)\ =\ 0\">, then in order to have a demand of 35 \"asks\" you have to set the price at zero.  A ludicrous situation in real life to be sure. I question the wisdom of including the high endpoint on the domain restriction.\r<BR>\n" );
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document.write( "I'm guessing that the lesson here is that, in order for some mathematical models to be meaningful, you must restrict the range as well as the domain of the function.<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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