document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6194>Question 6194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello <BR>\n" );
document.write( "I need to solve the following problem:<BR>\n" );
document.write( "A company uses the function:  C(x) = 2x2 – 40x + 250 to model the cost of producing x units.  How many units must be made to minimize the cost?<BR>\n" );
document.write( "Thanks much<BR>\n" );
document.write( "Mhunter </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3315 by </B><A HREF=/tutors/aboutme.mpl?userid=Abbey><B>Abbey(339)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Abbey><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=3315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28x%29+=+2x%5E2+%96+40x+%2B+250+ ALIGN=MIDDLE  ALT=\"C%28x%29+=+2x%5E2+%96+40x+%2B+250+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if the cost is minimized, then it will equal zero:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+2x%5E2+%96+40x+%2B+250+ ALIGN=MIDDLE  ALT=\"0+=+2x%5E2+%96+40x+%2B+250+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%5E2-20x%2B125 ALIGN=MIDDLE  ALT=\"0=x%5E2-20x%2B125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%28x-25%29 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%28x-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=-5 or 25<BR>\n" );
document.write( "since we are talking about producing an item, we cannot produce negative items, so we can discard the -5 answer.\r<BR>\n" );
document.write( "\n" );
document.write( "costs will be minimized if 25 units or more are produced. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );