document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67845>Question 67845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Draw the appropriate graphs in the following:<BR>\n" );
document.write( "A small firm produces both AM and AM/FM car radios. The AM radios take 15 hours to prduce, and the AM/FM radios take 20 hours. The nimber of prduction hours is limited to 300 hours 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 is the number of AM/FM radios.\r<BR>\n" );
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document.write( "Any help with this would be greatly appreciated. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48250 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=48250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw the appropriate graphs in the following:<BR>\n" );
document.write( "A small firm produces both AM and AM/FM car radios.<BR>\n" );
document.write( "The AM radios take 15 hours to prduce, and the AM/FM radios take 20 hours. <BR>\n" );
document.write( "The nimber of prduction hours is limited to 300 hours 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" );
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document.write( "Let A be number of AM radios; Let F be number of FM radios.<BR>\n" );
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document.write( "Write a system of inequalities representing this situation.<BR>\n" );
document.write( "Production Inequality: 15A+20F<=300<BR>\n" );
document.write( "Quantity Inequality:   A+F<=18<BR>\n" );
document.write( "4<=A<=18<BR>\n" );
document.write( "3<=F<=18<BR>\n" );
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document.write( "Then, draw a graph of the feasible region given these conditions, in which A is the number of AM radios and F is the number of AM/FM radios.<BR>\n" );
document.write( "Solve each inequality for F to get:<BR>\n" );
document.write( "F<=(-3/4)A+15<BR>\n" );
document.write( "F<=-A+18<BR>\n" );
document.write( "NOTE: F is the vertical axis; A is the horizontal axis<BR>\n" );
document.write( "Draw a vertical line at A=4 and at A=18<BR>\n" );
document.write( "Draw a horizontal line at F=3 and F=18<BR>\n" );
document.write( "Graph the equality of F<=(-3/4)A+15<BR>\n" );
document.write( "Graph the equality of F<=-A+18<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C400%2C-1%2C25%2C-1%2C25%2C%28-3%2F4%29x%2B15%2C-x%2B18%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C400%2C-1%2C25%2C-1%2C25%2C%28-3%2F4%29x%2B15%2C-x%2B18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Shade the area that satisfies all the inequalities.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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