document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120494>Question 120494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The function S=5000 +200x and D=9500-100x express the supply S and the demand D, respectively, for a popular compact disc brand as a function of its price x (in dollars). \r<BR>\n" );
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document.write( "a) Graph the functions on the same coordinate system. <BR>\n" );
document.write( "b) What happens to the supply as the price increase? <BR>\n" );
document.write( "c) What happens to the demand as the price increases?<BR>\n" );
document.write( "d) The price at which supply and demand are equal is caled the equilibrium price. What is the equilibrium price? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88833 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><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=88833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) I am going to plot this quickly, I assume you are able to do this and are just having difficulty with b-d. If this is not the case, E-mail me and I will explain how to plot linear functions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C30%2C-1000%2C11000%2C5000%2B200x%2C9500-100x%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C30%2C-1000%2C11000%2C5000%2B200x%2C9500-100x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The supply curve is the upward sloping curve, and the demand curve is the downward sloping curve.\r<BR>\n" );
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document.write( "b) Note, from above, that the supply curve is upward sloping. This means that an increase in x results in an increase in y (supply).\r<BR>\n" );
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document.write( "c) Note, from above, that the demand curve is downward sloping. This means that an increase in x results in a decrease in y (demand).\r<BR>\n" );
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document.write( "d) Set S=D.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5000%2B200x=9500-100x ALIGN=MIDDLE  ALT=\"5000%2B200x=9500-100x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300x=4500 ALIGN=MIDDLE  ALT=\"300x=4500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=15 ALIGN=MIDDLE  ALT=\"x=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is the equilibrium price.\r<BR>\n" );
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document.write( "These explanations have been purely mathematical. I can offer more intuitive explanations about what is happening according to economics, but you will have to E-mail this to me as it is mostly off-topic.<BR>\n" );
document.write( " </SPAN>\n" );
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