document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316405>Question 316405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The supply and demand functions for chocolate ice cream are give by <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%28p%29=+%281%2F6%29p ALIGN=MIDDLE  ALT=\"S%28p%29=+%281%2F6%29p\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+D+%28p%29=+9+-%281%2F3%29p ALIGN=MIDDLE  ALT=\"+D+%28p%29=+9+-%281%2F3%29p\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "where p represents the price in dollars. <BR>\n" );
document.write( "Find the equilibruim price. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226359 by </B><A HREF=/tutors/aboutme.mpl?userid=moshiz08><B>moshiz08(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=moshiz08><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=moshiz08><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Supply and demand are both functions of price. At the equilibrium price, supply equals demand. Thus, we are looking for a value of p such that S(p)=D(p). That is, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29+p+=+9+-+%281%2F3%29+p+ ALIGN=MIDDLE  ALT=\"%281%2F6%29+p+=+9+-+%281%2F3%29+p+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "and we must solve for p. \r<BR>\n" );
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document.write( "We can add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29p ALIGN=MIDDLE  ALT=\"%281%2F3%29p\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides to get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F6%29p+%2B+%281%2F3%29p+=+9+ ALIGN=MIDDLE  ALT=\"+%281%2F6%29p+%2B+%281%2F3%29p+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Combining the like terms on the left side gives \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29+p+=+9 ALIGN=MIDDLE  ALT=\"+%281%2F2%29+p+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Thus, multiplying by 2 on both sides gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+18 ALIGN=MIDDLE  ALT=\"p+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Now we check: at p = 18, S(p)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29+18+=+3 ALIGN=MIDDLE  ALT=\"%281%2F6%29+18+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and D(p)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9-%281%2F3%2918=9-6=3 ALIGN=MIDDLE  ALT=\"9-%281%2F3%2918=9-6=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the supply and demand are both equal to 3.  </SPAN>\n" );
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