document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=854264>Question 854264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Someone kindly provide solutio to this....thankss\r<BR>\n" );
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document.write( "assume that a firm knows that the cost to make x items is given by the cost function C(x) = 6xsquare + 700x dollars. it also knows that the revenue from x items is given by the revenue function R(x) = 1000x + 400. \r<BR>\n" );
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document.write( "Required:<BR>\n" );
document.write( "Maximum profit they can expectt and how many of these items they have to produce and sell to make this maximum profitt. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #514556 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=514556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The profit function P is<BR>\n" );
document.write( "P(x) = R(x) - C(x)<BR>\n" );
document.write( "P(x) = ( 1000x + 400 ) - ( 6x^2 + 700x )<BR>\n" );
document.write( "P(x) = 1000x + 400 -6x^2 - 700x<BR>\n" );
document.write( "P(x) = -6x^2 + 300x + 400<BR>\n" );
document.write( "The vertex of a quadratic of the form f(x) = ax^2 + bx + c<BR>\n" );
document.write( "is ( -b/2a , f( -b/2a ) )<BR>\n" );
document.write( "For our equation, -b/2a = -(300)/2(-6) = 300/12 = 25<BR>\n" );
document.write( "Substituting 25 for x in -6x^2 + 300x + 400<BR>\n" );
document.write( "gives us -6(25)^2 + 300(25) + 400<BR>\n" );
document.write( "-6(625) + 7500 + 400<BR>\n" );
document.write( "3750 + 7500 + 400<BR>\n" );
document.write( "3750 + 400<BR>\n" );
document.write( "4150<BR>\n" );
document.write( "So maximum profit is achieved when x = 25<BR>\n" );
document.write( "Check out http://www.wolframalpha.com/input/?i=y+%3D+%28+1000x+%2B+400+%29+-+%28+6x%5E2+%2B+700x+%29+<BR>\n" );
document.write( "to see the curve </SPAN>\n" );
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