document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68151>Question 68151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help, I'm stuck... this is a precalculus problem, but I have problems with the algebra in it, so I thought I'd give this site a shot.\r<BR>\n" );
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document.write( "The revenue generated by selling X units of a certain commodity is given by:<BR>\n" );
document.write( "R= (-1/5X)^2 + 200X\r<BR>\n" );
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document.write( "R is given in dollars. What is the MAXIMUM revenue possible?\r<BR>\n" );
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document.write( "I'm supposed to make it quadratic, but I'm confused.<BR>\n" );
document.write( "(They want me to use slope formula to find the vertex or something, but I dont get why a vertex would relate to this problem...)\r<BR>\n" );
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document.write( "Thanks for your time!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48438 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=48438\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> R= (-1/5X)^2 + 200X <BR>\n" );
document.write( "R is given in dollars. What is the MAXIMUM revenue possible? <BR>\n" );
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document.write( "The graph of this quadratic is a parabola opening downward with<BR>\n" );
document.write( "its vertex at its highest (maximum) point.<BR>\n" );
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document.write( "Put the quadratic in vertex form as follows:<BR>\n" );
document.write( "R=(-1/5)(x^2-[200/(-1/5)]x)<BR>\n" );
document.write( "R+(-1/5)(500^2)=(-1/5)(x^2-1000x+500^2)<BR>\n" );
document.write( "R-50000=(-1/5)(x-500)^2<BR>\n" );
document.write( "The vertex is at (500,50000)<BR>\n" );
document.write( "Conclusion: The maximum Revenue is $50,000<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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