{VERSION 2 3 "SUN SPARC SOLARIS" "2.3" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 }{CSTYLE "" -1 256 "" 1 14 0 0 0 0 1 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 259 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
260 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 
{CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 
0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 
0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 6 6 0 0 0 0 0 0 -1 0 }{PSTYLE "Title" 
0 18 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 1 0 0 0 0 0 0 }3 0 0 -1 
12 12 0 0 0 0 0 0 19 0 }}
{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT 256 25 "Example of Simplex Metho
d" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 30 "Import relevant maple packa
ges" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "with(simplex):\nwith(
plots):" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 42 "Set up constraints a
nd objective function:" }}{PARA 0 "" 0 "" {TEXT 259 38 "You can set yo
ur own constraints here:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 78 "
constraints := \n\{3*x+4*y-3*z <= 23, \n 5*x-4*y-3*z <= 10,\n 7*x+4*y+
11*z <= 30\}:" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT 260 33 "Set your objective function here:" }}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 35 "objective_function := -x + y + 2*z:" }}}}
{SECT 0 {PARA 3 "" 0 "" {TEXT -1 42 "Check if feasible set is defined \+
correctly" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "feasible(constr
aints);\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "feasible(const
raints union \{x>=0,y>=0,z>=0\});" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT 
-1 36 "Maximize/Minimize objective function" }}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 64 "maximize(objective_function,constraints union \{x>=
0,y>=0,z>=0\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "minimize
(objective_function,constraints union \{x>=0,y>=0,z>=0\});" }}}}{SECT 
0 {PARA 3 "" 0 "" {TEXT -1 50 "Plot intersection of feasible set with \+
plane \{z=0\}" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "z := 0;\nin
equal(constraints,x=0..10,y=0..10);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}}}{MARK "3 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }