document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204861>Question 1204861</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve using graphical method.\r<BR>\n" );
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document.write( "Maximize: 7/6 x + 13/10 y<BR>\n" );
document.write( "Subject to: <BR>\n" );
document.write( "x/30 + y/40 ≤ 1<BR>\n" );
document.write( "x/28 + y/35 ≤ 1<BR>\n" );
document.write( "x/30 + y/25 ≤ 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841393 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=841393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "The boundary line of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F30+%2B+y%2F40+%3C=+1 ALIGN=MIDDLE  ALT=\"x%2F30+%2B+y%2F40+%3C=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F30+%2B+y%2F40+=+1 ALIGN=MIDDLE  ALT=\"x%2F30+%2B+y%2F40+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Compare that to the intercept template <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fa+%2B+y%2Fb+=+1 ALIGN=MIDDLE  ALT=\"x%2Fa+%2B+y%2Fb+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The x and y intercepts for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fa+%2B+y%2Fb+=+1 ALIGN=MIDDLE  ALT=\"x%2Fa+%2B+y%2Fb+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > are located at (a,0) and (0,b) respectively.<BR>\n" );
document.write( "Note that 'a' and 'b' must be nonzero.\r<BR>\n" );
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document.write( "So something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F30+%2B+y%2F40+=+1 ALIGN=MIDDLE  ALT=\"x%2F30+%2B+y%2F40+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > has its x and y intercepts at (30,0) and (0,40).<BR>\n" );
document.write( "Draw a straight line through those two points. <BR>\n" );
document.write( "This boundary line is solid because of the \"or equal to\" in the inequality sign. <BR>\n" );
document.write( "Shade below the boundary due to the \"less than\" part. <BR>\n" );
document.write( "Or you can use a test point like (0,0) to try out.\r<BR>\n" );
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document.write( "Follow this idea for the other inequalities as well. Then pay careful attention where the three regions overlap. <BR>\n" );
document.write( "That overlapped region has corner vertex points that will be plugged into the objective function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F6%29x%2B%2813%2F10%29y ALIGN=MIDDLE  ALT=\"%287%2F6%29x%2B%2813%2F10%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I'll let the student take over from here.<BR>\n" );
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