document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280795>Question 280795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Business and Finance.<BR>\n" );
document.write( "A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).\r<BR>\n" );
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document.write( "The demand equation for a certain type of printer is given by:\r<BR>\n" );
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document.write( "                      D= -200p + 35,000\r<BR>\n" );
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document.write( "The supply equation is predicted to be:\r<BR>\n" );
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document.write( "                      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=+-p%5E2+%2B400p+-+20000 ALIGN=MIDDLE  ALT=\"S=+-p%5E2+%2B400p+-+20000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A). Does the graph of the supply equation open up or down? How did you determine this?\r<BR>\n" );
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document.write( "B). What is the point of the vertex of the supply equation?\r<BR>\n" );
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document.write( "C). How many solutions are there to the supply equation? How do you know?\r<BR>\n" );
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document.write( "D). Find the equilibrium price (Hint: The equilibrium price is the price for which supply equals demand).   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204066 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=204066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Business and Finance.<BR>\n" );
document.write( "A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).\r<BR>\n" );
document.write( "\n" );
document.write( "The demand equation for a certain type of printer is given by:\r<BR>\n" );
document.write( "\n" );
document.write( "                      D= -200p + 35,000\r<BR>\n" );
document.write( "\n" );
document.write( "The supply equation is predicted to be:\r<BR>\n" );
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document.write( "                      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=+-p%5E2+%2B400p+-+20000 ALIGN=MIDDLE  ALT=\"S=+-p%5E2+%2B400p+-+20000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A). Does the graph of the supply equation open up or down::::Down\r<BR>\n" );
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document.write( "How did you determine this:::The coefficient of p^2 is negative.<BR>\n" );
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document.write( "B). What is the point of the vertex of the supply equation?<BR>\n" );
document.write( "x = -b/2a = -400/(-2) = 100 ; S(100) = -10000 + 40000 - 20000<BR>\n" );
document.write( "= 10,000<BR>\n" );
document.write( "Vertex: (100,10,000)<BR>\n" );
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document.write( "C). How many solutions are there to the supply equation? How do you know?<BR>\n" );
document.write( "Ans: Two ; it is a quadratic.<BR>\n" );
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document.write( "D). Find the equilibrium price (Hint: The equilibrium price is the price for which supply equals demand).<BR>\n" );
document.write( "D = S<BR>\n" );
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document.write( "-200p + 35,000 = -p^2 +400p - 20000<BR>\n" );
document.write( "p^2 -600p +55000 = 0<BR>\n" );
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document.write( "I graphed it and found:<BR>\n" );
document.write( "p = 112.92 or p = 487.08<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.   </SPAN>\n" );
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