document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120954>Question 120954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A furniture company sells 3000 chairs per week at a price of $150 apiece; when the price is lowered to $125, the company sells 3500 chairs per week.  If the company wishes to liquidate its entire remaining inventory of 4250 chairs in the next week, what price should they seek? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88752 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=88752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A furniture company sells 3000 chairs per week at a price of $150 apiece; when the price is lowered to $125, the company sells 3500 chairs per week. If the company wishes to liquidate its entire remaining inventory of 4250 chairs in the next week, what price should they seek?<BR>\n" );
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document.write( "Let x = price of the chairs; Let y = no. of chairs sold<BR>\n" );
document.write( "Find the slope of the equation  m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x1 = 150; y1 = 3000<BR>\n" );
document.write( "x2 = 125; y2 = 3500<BR>\n" );
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document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283500-3000%29%2F%28125-150%29 ALIGN=MIDDLE  ALT=\"%283500-3000%29%2F%28125-150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F%28-25%29 ALIGN=MIDDLE  ALT=\"500%2F%28-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -20 is the slope<BR>\n" );
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document.write( "Using the point/slope equation: y - y1 = m(x - x1)<BR>\n" );
document.write( "y - 3000 = -20(x - 150)<BR>\n" );
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document.write( "y - 3000 = -20x + 3000<BR>\n" );
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document.write( "y = -20x + 3000 + 3000<BR>\n" );
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document.write( "y = -20x + 6000 is our equation<BR>\n" );
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document.write( "to find the price to sell all 4250 chairs, make y = 4250 and find x<BR>\n" );
document.write( "-20x + 6000 = 4250<BR>\n" );
document.write( "-20x = 4250 - 6000<BR>\n" );
document.write( "-20x = -1750<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1750%29%2F%28-20%29 ALIGN=MIDDLE  ALT=\"%28-1750%29%2F%28-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +$87.50 is the price to sell 4250 chairs.<BR>\n" );
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document.write( "You can check this by substituting each given value for x in our equation,<BR>\n" );
document.write( "and confirm that it equals the given y value   </SPAN>\n" );
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