document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=463543>Question 463543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> it costs a company $30 to produce 2 widgets,$118 to produce 4 widgets,$766 to produce 10 widgets.how much does it cost to produce 6 widgets? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318211 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=318211\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it costs a company $30 to produce 2 widgets,$118 to produce 4 widgets,$766 to produce 10 widgets.how much does it cost to produce 6 widgets?<BR>\n" );
document.write( "...<BR>\n" );
document.write( "f(x)=Ax^2+Bx+C<BR>\n" );
document.write( "3 points to work with (2,30), (4,118), (10,766)<BR>\n" );
document.write( "1) 4A+2B+C=30<BR>\n" );
document.write( "2) 16A+4B+C=118<BR>\n" );
document.write( "3) 100A+10B+C=766<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2) 16A+4B+C=118<BR>\n" );
document.write( "1) 4A+2B+C=30<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "4) 12A+2B=88<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3) 100A+10B+C=766<BR>\n" );
document.write( "2) 16A+4B+C=118<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "5) 84A+6B=648<BR>\n" );
document.write( "6) 36A+6B=264      (multiply eq 4 by 3<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "7) 48A=384<BR>\n" );
document.write( "A=384/48=8<BR>\n" );
document.write( "..<BR>\n" );
document.write( "6B=264-36*A  (from eq 6)<BR>\n" );
document.write( "6B=264-288=-24<BR>\n" );
document.write( "B=-24/6=-4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "C=118-16A-4B  (from eq 2)<BR>\n" );
document.write( "C=118-128+16=6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "f(x)= 8x^2-4x+6<BR>\n" );
document.write( "f(6)=8*36-4*6+6<BR>\n" );
document.write( "f(6)=288-24+6=270<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Ans:<BR>\n" );
document.write( "It will cost $270 to make 6 widgets </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );