document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187308>Question 1187308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that​ revenue,R(x)​, and​ cost,C(x)​, are in thousands of​ dollars, and x is in thousands of units.<BR>\n" );
document.write( "R(x)=7x-2x^2, C(x)=x^3-3x^2+2x+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819680 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> R-C=Profit=-x^3+x^2+5x-1<BR>\n" );
document.write( "Take the derivative and set it equal to 0.<BR>\n" );
document.write( "-3x^2+2x+5=0=3x^2-2x-5=(3x-5)(x+1)=0\r<BR>\n" );
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document.write( "x= 5/3 as only positive root.\r<BR>\n" );
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document.write( "f(5/3)=(-125/27)+25/9+25/3-1=(1/27)(-125+75+225-27)=(148/27)=$5.48 thousands <BR>\n" );
document.write( "graph this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C5.48%2C-x%5E3%2Bx%5E2%2B5x-1%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C5.48%2C-x%5E3%2Bx%5E2%2B5x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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