document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=290378>Question 290378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me solve this problem? I am having a hard time with it, can you explain the steps?\r<BR>\n" );
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document.write( " Assume the profit earned by an artist in any given year is governed by the function  P(n) = -2n^2 + 80n – 30 where n represents the number of paintings sold and P (in thousands of dollars) represents the profit. How many paintings should be sold to create a maximum profit? What is the maximum profit?  \r<BR>\n" );
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document.write( " Thank you, Cynthia :)<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 #210139 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=210139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You want the vertex.<BR>\n" );
document.write( "The x component or n component will be the number of paints with maximum profit P(n)<BR>\n" );
document.write( "what is the x component of the vertex -b/2a<BR>\n" );
document.write( "-80/2*-2=80/4=20<BR>\n" );
document.write( "plug 20 in  for n and solve and that will give you the max of the parabola which should come out to 770\r<BR>\n" );
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document.write( "Everyone here wants help.<BR>\n" );
document.write( "I generally avoid the problems with begging.<BR>\n" );
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