document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=465556>Question 465556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to solve this problem. The demand function for a product is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=50%2F%28q%2B5%29 ALIGN=MIDDLE  ALT=\"p=50%2F%28q%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where p is the price per unit (in dollars) for q units, the supply function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=q%2F10%2B4.5 ALIGN=MIDDLE  ALT=\"q=q%2F10%2B4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Determine consumers surplus and producers surplus under market equilibrium. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319313 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=319313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the value of q in which equilibrium happens, must have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F%28q%2B5%29+=+q%2F10+%2B+4.5 ALIGN=MIDDLE  ALT=\"50%2F%28q%2B5%29+=+q%2F10+%2B+4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "==>500 = (q+5)(q + 45), after cross-multiplication<BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+q%5E2+%2B+50q+-+275 ALIGN=MIDDLE  ALT=\"0+=+q%5E2+%2B+50q+-+275\"   DISABLED_style= \"max-width:90%; height:auto;\" >, after further simplification.<BR>\n" );
document.write( "==> (q-5)(q+55) = 0 ==> q = 5.  (Eliminate q = -55).\r<BR>\n" );
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document.write( "when q = 5, demand and supply are both equal to 5.\r<BR>\n" );
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document.write( "==> Consumer's surplus = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28+%2850%2F%28q%2B5%29+-+5%29%2C+dq%2C+0%2C5%29+=+%2850ln%28q%2B5%29+-+5q%29%5B0%5D%5E5+=+50ln2+-+25+=+9.66 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >, to 2 decimal places.\r<BR>\n" );
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document.write( "==> Producer's surplus = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28+%285+-+%28q%2F10+%2B+4.5%29%29%2C+dq%2C+0%2C5%29+=+int%28+%285.5+-+q%2F10%29%2C+dq%2C+0%2C5%29+=+%285.5q+-+q%5E2%2F20%29%5B0%5D%5E5+=+26.25 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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