document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030008>Question 1030008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Set up and solve the system of linear equations using matrices.\r<BR>\n" );
document.write( "\n" );
document.write( " Safetymax.com sells first aid and emergency preparedness supplies to businesses. A company that assembles first aid kits for consumers purchases 2900 1-inch by 3-inch plastic adhesive bandages, 1440 alcohol wipes, and 160 tubes of antibiotic ointment from Safetymax.com. \r<BR>\n" );
document.write( "\n" );
document.write( " The company assembles compact, standard, and deluxe first aid kits for sale to consumers. A compact first aid kit contains 20 plastic adhesive bandages, 8 alcohol wipes, and 1 tube of antibiotic ointment. A standard first aid kit contains 40 plastic adhesive bandages, 20 alcohol wipes, and 2 tubes of antibiotic ointment. A deluxe first aid kit contains 50 plastic adhesive bandages, 28 alcohol wipes, and 4 tubes of antibiotic ointment.\r<BR>\n" );
document.write( "\n" );
document.write( " How many of each type of kit should the company assemble to use up all of the bandages, wipes, and antibiotics ordered?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "compact  _____      <BR>\n" );
document.write( "standard _____       <BR>\n" );
document.write( "deluxe   _____     <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644918 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=644918\">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=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the number of compact kits, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" > standard kits, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" > deluxe kits.<BR>\n" );
document.write( ",<BR>\n" );
document.write( ",<BR>\n" );
document.write( "A(20,8,1)+B(40,20,2)+C(50,28,4)=(2900,1440,160)<BR>\n" );
document.write( ",<BR>\n" );
document.write( ",<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20A%2B40B%2B50C=2900 ALIGN=MIDDLE  ALT=\"20A%2B40B%2B50C=2900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A%2B4B%2B5C=290 ALIGN=MIDDLE  ALT=\"2A%2B4B%2B5C=290\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8A%2B20B%2B28C=1440 ALIGN=MIDDLE  ALT=\"8A%2B20B%2B28C=1440\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A%2B5B%2B7C=360 ALIGN=MIDDLE  ALT=\"2A%2B5B%2B7C=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "3.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2B2B%2B4C=160 ALIGN=MIDDLE  ALT=\"A%2B2B%2B4C=160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In matrix form,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C3%2C%0D%0A2%2C4%2C5%2C%0D%0A2%2C5%2C7%2C%0D%0A1%2C2%2C4%29%29%2A%28matrix%283%2C1%2CA%2CB%2CC%29%29=%28matrix%283%2C1%2C290%2C360%2C160%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Using Cramer's rule,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=%28matrix%283%2C3%2C%0D%0A2%2C4%2C5%2C%0D%0A2%2C5%2C7%2C%0D%0A1%2C2%2C4%29%29 ALIGN=MIDDLE  ALT=\"X=%28matrix%283%2C3%2C%0D%0A2%2C4%2C5%2C%0D%0A2%2C5%2C7%2C%0D%0A1%2C2%2C4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28X%29=3 ALIGN=MIDDLE  ALT=\"abs%28X%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5BA%5D=%28matrix%283%2C3%2C%0D%0A290%2C4%2C5%2C%0D%0A360%2C5%2C7%2C%0D%0A160%2C2%2C4%29%29 ALIGN=MIDDLE  ALT=\"X%5BA%5D=%28matrix%283%2C3%2C%0D%0A290%2C4%2C5%2C%0D%0A360%2C5%2C7%2C%0D%0A160%2C2%2C4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28X%5BA%5D%29=60 ALIGN=MIDDLE  ALT=\"abs%28X%5BA%5D%29=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5BB%5D=%28matrix%283%2C3%2C%0D%0A2%2C290%2C5%2C%0D%0A2%2C360%2C7%2C%0D%0A1%2C160%2C4%29%29 ALIGN=MIDDLE  ALT=\"X%5BB%5D=%28matrix%283%2C3%2C%0D%0A2%2C290%2C5%2C%0D%0A2%2C360%2C7%2C%0D%0A1%2C160%2C4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28X%5BB%5D%29=150 ALIGN=MIDDLE  ALT=\"abs%28X%5BB%5D%29=150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5BC%5D=%28matrix%283%2C3%2C%0D%0A2%2C4%2C290%2C%0D%0A2%2C5%2C360%2C%0D%0A1%2C2%2C160%29%29 ALIGN=MIDDLE  ALT=\"X%5BC%5D=%28matrix%283%2C3%2C%0D%0A2%2C4%2C290%2C%0D%0A2%2C5%2C360%2C%0D%0A1%2C2%2C160%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28X%5BC%5D%29=30 ALIGN=MIDDLE  ALT=\"abs%28X%5BC%5D%29=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=abs%28X%5BA%5D%29%2Fabs%28A%29=60%2F3=20 ALIGN=MIDDLE  ALT=\"A=abs%28X%5BA%5D%29%2Fabs%28A%29=60%2F3=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=abs%28X%5BB%5D%29%2Fabs%28A%29=150%2F3=50 ALIGN=MIDDLE  ALT=\"B=abs%28X%5BB%5D%29%2Fabs%28A%29=150%2F3=50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=abs%28X%5BC%5D%29%2Fabs%28A%29=30%2F3=10 ALIGN=MIDDLE  ALT=\"C=abs%28X%5BC%5D%29%2Fabs%28A%29=30%2F3=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );