document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43154>Question 43154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The profit earned from manufacturing x widgets is .0001x3 - .21x2 + 135x - 2000 dollars. Other contraints dictate that at least 200 widegets but no more than 950 widgets be manufactured.<BR>\n" );
document.write( "How many widgets should be produced to earn the maximum profit?\r<BR>\n" );
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document.write( "  a. 950    <BR>\n" );
document.write( "  b. 17400    <BR>\n" );
document.write( "  c. 500    <BR>\n" );
document.write( "  d. 25500    <BR>\n" );
document.write( "  e. None of the others     </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28301 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=28301\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The profit earned from manufacturing x widgets is<BR>\n" );
document.write( "P= .0001x3 - .21x2 + 135x - 2000 ..HOPE YOU KNOW DIFFERENTIATION<BR>\n" );
document.write( "DP/DX=0.0001*3X^2-0.21*2X+135=0...FOR P TO HAVE AN EXTREMUM<BR>\n" );
document.write( "=0.0003X^2-0.42X+135=0<BR>\n" );
document.write( "X=(0.42+ OR - 0.12)/(2*0.0003)<BR>\n" );
document.write( "=900 OR 500<BR>\n" );
document.write( "D^2P/DX^2=0.0006X-0.42....AT X=900,WE GET...0.0006*900-0.42=0.12....HENCE MINIMUM<BR>\n" );
document.write( "AT X=500,WE GET....0.0006*500-0.42=-0.12....HENCE MAXIMUM<BR>\n" );
document.write( "SO X=500 IS CORRECT ANSWER...C IS CORRECT\r<BR>\n" );
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document.write( "dollars. Other contraints dictate that at least 200 widegets but no more than 950 widgets be manufactured.<BR>\n" );
document.write( "How many widgets should be produced to earn the maximum profit?<BR>\n" );
document.write( "a. 950<BR>\n" );
document.write( "b. 17400<BR>\n" );
document.write( "c. 500<BR>\n" );
document.write( "d. 25500<BR>\n" );
document.write( "e. None of the others </SPAN>\n" );
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