document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87272>Question 87272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small firm produces both AM and AM/FM car radios. The AM radios take 15h to produce, and the AM/FM radios take 20h. The number of production hours is limited to 300h per week. The plant's capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63230 by </B><A HREF=/tutors/aboutme.mpl?userid=favegirl13><B>favegirl13(22)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=favegirl13><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=63230\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The systems of inequalities: (x represents # AM radios & y represents # AM/FM radios)<BR>\n" );
document.write( "use four different colored pencils for shading so determining the feasible will be easy<BR>\n" );
document.write( "1) <BR>\n" );
document.write( "15x+20y<300<BR>\n" );
document.write( "-15x    -15x<BR>\n" );
document.write( "20y<300-15x<BR>\n" );
document.write( "everything over 20<BR>\n" );
document.write( "y<15-3/4x or y<-3/4x+15<BR>\n" );
document.write( "graph this start (15,0) then go down 3 and to the right 3 each time.<BR>\n" );
document.write( "connect the points.<BR>\n" );
document.write( "shade the area below the line<BR>\n" );
document.write( "2)x>4<BR>\n" );
document.write( "place the point (4,0) and draw a vertical line through the point.<BR>\n" );
document.write( "shade the right area of the vertical <BR>\n" );
document.write( "3)y>3<BR>\n" );
document.write( "place the point (0,3) and draw a horizontal line through the point.<BR>\n" );
document.write( "shade on top of the horizontal.<BR>\n" );
document.write( "4)<BR>\n" );
document.write( "4x+3y<18<BR>\n" );
document.write( "-4x   -4x<BR>\n" );
document.write( "3y<18-4x<BR>\n" );
document.write( "everything over 3<BR>\n" );
document.write( "y<6-4/3x or y<-4/3x+6<BR>\n" );
document.write( "place the point (6,0) then go down 4 then to the right each time<BR>\n" );
document.write( "connect the dots then shade the area below the line.<BR>\n" );
document.write( "FINALLY:<BR>\n" );
document.write( "the part of the graph where all the shaded regions overlap is the feasible region.<BR>\n" );
document.write( "HOPE YOU UNDERSTAND </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );