document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=750951>Question 750951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacture has a daily production cost of C=86,000-140x+0.075x^2, where C is the total cost in dollars and x is the number of units produced<BR>\n" );
document.write( "A. How many units should be produced each day to yield the minimum cost?<BR>\n" );
document.write( "B. what is the minimum cost? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #456904 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=456904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A manufacture has a daily production cost of C=86,000-140x+0.075x^2, where C is the total cost in dollars and x is the number of units produced<BR>\n" );
document.write( "A. How many units should be produced each day to yield the minimum cost?<BR>\n" );
document.write( "C=86,000-140x+0.075x^2<BR>\n" );
document.write( "C'(x) = -140 + 2*0.075x<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Solve: -140+0.15x = 0<BR>\n" );
document.write( "0.15x = 140<BR>\n" );
document.write( "x = 933.33 (# of units to produce minimum cost)<BR>\n" );
document.write( "----\r<BR>\n" );
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document.write( "B. what is the minimum cost?<BR>\n" );
document.write( "f(933.33) = $20,667<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );