document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086843>Question 1086843</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the maximum of the objective function, f, subject to the constraints f=15x +25y   {3x +4y > 60<BR>\n" );
document.write( "        x + 8y > 40<BR>\n" );
document.write( "       11x + 28y < 380\r<BR>\n" );
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document.write( "x>0, y>0\r<BR>\n" );
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document.write( "The greater and less than signs have the or equal to underscore.  If possible could you show me the steps in detail because I am confused beyond belief. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #701055 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=701055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First graph each inequality.<BR>\n" );
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document.write( "Then overlay them to define the feasible region,<BR>\n" );
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document.write( "Take out the inequality and just graph the boundary lines to make it more visually appealing and understandable.<BR>\n" );
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document.write( "Find the vertices using the intersection of the boundary lines.<BR>\n" );
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document.write( "Test the objective function at each of the vertices to find the maximum value,<BR>\n" );
document.write( "I'll do one. <BR>\n" );
document.write( "You do the others the same way.<BR>\n" );
document.write( "(4,12):<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=15%284%29%2B25%2812%29=60%2B300=360 ALIGN=MIDDLE  ALT=\"f=15%284%29%2B25%2812%29=60%2B300=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do the other two vertices the same way and see what the max value is and where it occurs. </SPAN>\n" );
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