document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184538>Question 1184538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An apple orchard sells apple juice in three different sized containers: 1L, 2L, and 4L bottles. The maximum amount of juice that can be produced in a week is 320L, and it seems that customers prefer the 1L format over the other two combined.<BR>\n" );
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document.write( "Furthermore, for every 2L bottle sold, at most one 4L bottle is sold. If the profit for the one litre bottles is $1, the two litre bottle profits $1.50, and the four litre bottle has profit of $3.75 determine how many of each format of bottle must be sold to maximize weekly profits, and determine the profit. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815243 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=815243\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem is to maximize P = x + 1.50y + 3.75z, subject to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28matrix%283%2C1%2Cx%2By%2Bz+%3C=+320%2C+-x%2By%2Bz+%3C=+0%2C+-y+%2B+z+%3C=+0%29%29 ALIGN=MIDDLE  ALT=\"system%28matrix%283%2C1%2Cx%2By%2Bz+%3C=+320%2C+-x%2By%2Bz+%3C=+0%2C+-y+%2B+z+%3C=+0%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22x%2C+y+%2C+z%22+%3E=0 ALIGN=MIDDLE  ALT=\"%22x%2C+y+%2C+z%22+%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can then go to http://reshmat.ru/simplex_method_lpp.html  to implement the simplex method.\r<BR>\n" );
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document.write( "What you will get in the end are x = 160, y = 80, and z = 80, with maximum P  = 580.\r<BR>\n" );
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