document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=113312>Question 113312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help. I am not sure what topic to place the question under I have tried several topics with no results. \r<BR>\n" );
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document.write( "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 4 AM radios and at least 3 AM/FM radios be produced per week.<BR>\n" );
document.write( "Write a system of inequalities representing this situation.\r<BR>\n" );
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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.\r<BR>\n" );
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document.write( "Thanks<BR>\n" );
document.write( "JMS </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82449 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=82449\">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 4 AM 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( "Domain and Range:<BR>\n" );
document.write( "4<=x<=18<BR>\n" );
document.write( "3<=y<=18<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Quantity Inequality:<BR>\n" );
document.write( "x+y<=18<BR>\n" );
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document.write( "Production Inequality: <BR>\n" );
document.write( "15x +  20y <= 300<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Solve Quantity and Production for \"y\" :<BR>\n" );
document.write( "y <= -x+18<BR>\n" );
document.write( "y <= (-3/4)x + 15<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Graph:<BR>\n" );
document.write( "Draw vertical lines at x = 4 and at x = 18<BR>\n" );
document.write( "Draw horizontal lines at y = 3 and at y = 18<BR>\n" );
document.write( "Note: These limit the domain and the range of the solution set<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Graph the boudary lines of the Quantity and production Inequalities:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C30%2C-10%2C30%2C-x%2B18%2C%28-3%2F4%29x%2B15%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C30%2C-10%2C30%2C-x%2B18%2C%28-3%2F4%29x%2B15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Darken the area in the feasible solution area that is below both<BR>\n" );
document.write( "of these boundary lines.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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