document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65561>Question 65561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Draw the appropriate graphs in each of the following.<BR>\n" );
document.write( "	A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plant’s capacity is limited to a total of 18 radios per week, and existing orders require that at least 4AM 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. <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 #46139 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=46139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A small firm produces both AM and AM/FM car radios.<BR>\n" );
document.write( "The AM radios take 15 h to produce, and the AM/FM radios take 20 h.<BR>\n" );
document.write( "The number of production hours is limited to 300 h per week. <BR>\n" );
document.write( "The plant’s capacity is limited to a total of 18 radios per week, and existing orders require that at least 4AM radios and at least 3 AM/FM radios be produced per week. <BR>\n" );
document.write( "Write a system of inequalities representing this situation. <BR>\n" );
document.write( "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. <BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Production equation: 15x+20y<=300<BR>\n" );
document.write( "Quantity equations:  x+y<=18<BR>\n" );
document.write( "AM radio restrictions: 4<=x<=18<BR>\n" );
document.write( "FM radio restrictions: 3<=y<=18<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Solve where you can for y in terms of x:<BR>\n" );
document.write( "y<=(-15/20)x+15<BR>\n" );
document.write( "y<=-x+18<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C400%2C-1%2C30%2C-1%2C30%2C%28-3%2F4%29x%2B15%2C-x%2B18%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C400%2C-1%2C30%2C-1%2C30%2C%28-3%2F4%29x%2B15%2C-x%2B18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );