document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054875>Question 1054875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company can manufacture x hundred items for a total cost of C=500+1400x-100x2. Find x if the total cost is $5,300? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670066 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=670066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  5300=500+1400x-100x2<BR>\n" );
document.write( "100x^2-1400x+4800=0<BR>\n" );
document.write( "x^2-14x+48=0, after dividing by 100.<BR>\n" );
document.write( "(x-6)(x-8)=0<BR>\n" );
document.write( "x=6, 8, or 600, 800 items.  Maximum x is -b/2a=-1400/-200=7<BR>\n" );
document.write( "check both<BR>\n" );
document.write( "C6=500+8400-3600=$5300<BR>\n" );
document.write( "C8=500+11200-6400=$5300<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-1000%2C6000%2C500%2B1400x-100x%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-1000%2C6000%2C500%2B1400x-100x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );