document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58444>Question 58444</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073016020/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Could someone help me on this problem please?\r<BR>\n" );
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document.write( "  I need to draw the appropriate graph for the following problem:\r<BR>\n" );
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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 4 AM radios and at least 3 AM/PM radios be produced per week.  Write a system of inequalities representing this situation.  Then, I need a raph of the feasble 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 so much,<BR>\n" );
document.write( " Lisa </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40038 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=40038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to draw the appropriate graph for the following problem: <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 4 AM radios and at least 3 AM/PM radios be produced per week. Write a system of inequalities representing this situation. Then, I need a raph of the feasble region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios. <BR>\n" );
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document.write( "Let # of AM radios be A and # of FM radios be F.<BR>\n" );
document.write( "1st: A>=4  <BR>\n" );
document.write( "2nd: F>=3<BR>\n" );
document.write( "3rd: A+F<=18<BR>\n" );
document.write( "4th: 15A+20F<=300<BR>\n" );
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document.write( "Draw a coordinate system with \"A\" as the vertical axis and \"F\" as the <BR>\n" );
document.write( "horizontal axis.<BR>\n" );
document.write( "Using 1st and 2nd, sketch a vertical line at F=3 and a horizontal line at A=4<BR>\n" );
document.write( "Using 3rd, sketch the line A=-F+18 with points (3,15) and (14,4)<BR>\n" );
document.write( "Using 4th, sketch the line A=(-4/3)F+20 with points (3,16) and (12,4)<BR>\n" );
document.write( "Find the intersection of 3rd and 4th:<BR>\n" );
document.write( "-F+18=(-4/3)F+20<BR>\n" );
document.write( "(1/3)F=2<BR>\n" );
document.write( "F=6 ; then A=-6+18=12<BR>\n" );
document.write( "The intersection pt. is (6,12)<BR>\n" );
document.write( "If you shade in the inequality areas you will see you <BR>\n" );
document.write( "have vertices at (3,15),(6,12),(12,4),and (3,4)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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