document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549037>Question 549037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> R=p(200 - p), where p equal and less than 200.<BR>\n" );
document.write( "Find R when p = 100<BR>\n" );
document.write( "Find p when R = 7500 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357425 by </B><A HREF=/tutors/aboutme.mpl?userid=mathie123><B>mathie123(224)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathie123><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=357425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find R when p = 100\r<BR>\n" );
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document.write( "Subsituting p=100 into R=p(200-p) we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=100%28200-100%29 ALIGN=MIDDLE  ALT=\"R=100%28200-100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=100%28100%29 ALIGN=MIDDLE  ALT=\"R=100%28100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=10000 ALIGN=MIDDLE  ALT=\"R=10000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find p when R = 7500<BR>\n" );
document.write( "Substituting R=7500 into R=p(200-p) we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7500=p%28200-p%29 ALIGN=MIDDLE  ALT=\"7500=p%28200-p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7500=200p-p%5E2 ALIGN=MIDDLE  ALT=\"7500=200p-p%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-200p-7500=0 ALIGN=MIDDLE  ALT=\"p%5E2-200p-7500=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can now use the quadratic formula which says <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And substituting our values in we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%28200%2B-sqrt%28200%5E2-4%2A1%2A%28-7500%29%29%29%2F2%2A1 ALIGN=MIDDLE  ALT=\"p=%28200%2B-sqrt%28200%5E2-4%2A1%2A%28-7500%29%29%29%2F2%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%28200%2B-sqrt%2840000%2B30000%29%29%2F2 ALIGN=MIDDLE  ALT=\"p=%28200%2B-sqrt%2840000%2B30000%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%28200%2B-sqrt%2870000%29%29%2F2 ALIGN=MIDDLE  ALT=\"p=%28200%2B-sqrt%2870000%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%28200%2B-sqrt%284%2A17500%29%29%2F2 ALIGN=MIDDLE  ALT=\"p=%28200%2B-sqrt%284%2A17500%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%28200%2B-sqrt%284%29%2Asqrt%2817500%29%29%2F2 ALIGN=MIDDLE  ALT=\"p=%28200%2B-sqrt%284%29%2Asqrt%2817500%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%28200%2B-2%2Asqrt%2817500%29%29%2F2 ALIGN=MIDDLE  ALT=\"p=%28200%2B-2%2Asqrt%2817500%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%282%28100%2B-sqrt%2817500%29%29%29%2F2 ALIGN=MIDDLE  ALT=\"p=%282%28100%2B-sqrt%2817500%29%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%28100%2B-sqrt%2817500%29%29 ALIGN=MIDDLE  ALT=\"p=%28100%2B-sqrt%2817500%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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