document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201529>Question 201529</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534163920/algebrahomeworkh>beginning algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I would really appreciate your help solving this problem\r<BR>\n" );
document.write( "\n" );
document.write( "A machine shop has two machines that can mill a certain bras plate. One machine has a set up cost of $500 and a cost per plate of $2, and the other machine has a set up cost of $800 and a cost per plate of $1. How many plates should be manufactured if the cost is to be the same using either machine?\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you<BR>\n" );
document.write( "Jmolina </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151737 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=151737\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of plates manufactured <BR>\n" );
document.write( "when cost is the same using either machine.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500+%2B+2x+=+800+%2B+1%2Ax ALIGN=MIDDLE  ALT=\"500+%2B+2x+=+800+%2B+1%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+800+-+500 ALIGN=MIDDLE  ALT=\"x+=+800+-+500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+300 ALIGN=MIDDLE  ALT=\"x+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If 300 plates are made, the cost is the same using<BR>\n" );
document.write( "either machine<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "If I let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" > = cost of making <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > plates,<BR>\n" );
document.write( "I can graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+2x+%2B+500 ALIGN=MIDDLE  ALT=\"C+=+2x+%2B+500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+x+%2B+800 ALIGN=MIDDLE  ALT=\"C+=+x+%2B+800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-100%2C+400%2C+-100%2C+1500%2C+2x+%2B+500%2C+x+%2B+800%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-100%2C+400%2C+-100%2C+1500%2C+2x+%2B+500%2C+x+%2B+800%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As you see, the lines cross at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+300 ALIGN=MIDDLE  ALT=\"x+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "the cost is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1100 ALIGN=MIDDLE  ALT=\"1100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );