document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58822>Question 58822</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;\"> Can someone please help me graph this 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 hto 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/FM radios be produced per week.  I need to write a systems of inequalities representing this situation.  Then, I need to 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( "I have to send this through the computer and I am having problems with making the graph.  Can someone help me on this?\r<BR>\n" );
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document.write( "I sure would appreciate it.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40341 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=40341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's a word problem that has me stumped, 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/FM radios are 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. How do you solve this?<BR>\n" );
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document.write( "Let x = no. of AM radios; Let y = no.of AM/FM radios<BR>\n" );
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document.write( "\"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.\"<BR>\n" );
document.write( "The hour equation:<BR>\n" );
document.write( "15x + 20y =< 300<BR>\n" );
document.write( "Arrange it \"y=\" in order graph it<BR>\n" );
document.write( "20y =< 300 - 15x<BR>\n" );
document.write( "y =< 300/20 - (15/20)x<BR>\n" );
document.write( "y =< 15 - .75x; plotted as the red line<BR>\n" );
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document.write( "\"The plant’s capacity is limited to a total of 18 radios\"<BR>\n" );
document.write( "The quantity equation:<BR>\n" );
document.write( "x + y <= 18<BR>\n" );
document.write( "y <= 18 - x; plotted as the green line<BR>\n" );
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document.write( "\"At least 4 AM Radios\"<BR>\n" );
document.write( "x => 4<BR>\n" );
document.write( "This will be vertical line parallel to y axis, passing thru x =>4. You will have<BR>\n" );
document.write( "to draw this in yourself<BR>\n" );
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document.write( "\"At least 3 AM/FM Radios\"<BR>\n" );
document.write( "y => 3, plotted as the black line<BR>\n" );
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document.write( "The graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+20%2C+-4%2C+20%2C+15+-.75x%2C+18-x%2C+3+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+20%2C+-4%2C+20%2C+15+-.75x%2C+18-x%2C+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note that the feasibility region would be bounded by: <BR>\n" );
document.write( "1. area equal or above the horizontal line going thru y = 3, <BR>\n" );
document.write( "2. the vertical line that you will draw going thru x = 4, or to the right,<BR>\n" );
document.write( "3. Equal or below the red and the green lines whichever is lowest.<BR>\n" );
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document.write( "To further explain, here are the 4 corner coodinates of the feasiblity region<BR>\n" );
document.write( "(it's inside these four corners)<BR>\n" );
document.write( "x = 4; y = 3 (on the vertical line)<BR>\n" );
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document.write( "x = 4; y = 12 (on the vertical line)<BR>\n" );
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document.write( "x = 12; y = 6<BR>\n" );
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document.write( "x = 15; y = 3<BR>\n" );
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document.write( "Does this help?\r<BR>\n" );
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