model:
* O% H8 Y+ v5 f& n& jmax=@sum(Ai-Bi+Di-Ei);
$ B: h/ O1 p: _. d2 |Ai=ai*yi^3+bi*yi^2+ci*yi+di;
. }1 E( x7 I6 ^2 WBi=ei*xi^3+fi*xi^2+gi*xi+hi;
m* {0 t* |0 i( H- D' k! w: ]. BDi=ki*zi^3+li*zi^2+mi*zi+ni;
7 [: u4 |# L' L6 TEi=pi*yi^3+qi*yi^2+si*yi+ti;4 M- {6 u8 H3 A( T7 b! F
x1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;
. j! [) `. }. w" `+ c. T$ n* d1 I@bnd (0.8,y1,1.1);, \+ G( [3 {1 m" D& k
@bnd (2.0,y2,2.3);8 O. Q, l! m6 z6 X+ z. T2 T0 [
@bnd (1.0,y3,1.2);8 Z% }4 b' I( s
@bnd (1.0,y4,1.5);
: @7 R. w& Q; l) ^: }9 I3 A@bnd (2.0,y5,12.5);3 B2 p( S$ f0 ]# f
@bnd (1.5,y6,1.7);
3 m$ `8 L" J. Z" i4 R@bnd (1.1,y7,1.5);1 i; Q' u# \4 T: \$ j+ u
@bnd (1.7,y8,2.7);2 ?! }7 _0 D; \- K7 l/ m5 d
@bnd (1.0,y9,1.3);
8 _, ^& l9 {3 A9 y3 X6 n& r@bnd (0.5,y10,0.9);
, E* B! I; A5 N5 ]% c@bnd (0,z1,0.4);7 A; `5 G2 O0 ]0 J
@bnd (0,z2,0.4);% j, N& ~' f0 F6 R) m
@bnd (0,z3,0.4);
! m1 F: g- c' C! r! Q@bnd (0,z4,0.4);; Y3 ?5 W& x. ]; @
@bnd (0,z5,0.4);2 [0 k! g* h; S1 n1 m6 _* D9 j; Q
@bnd (0,z6,0.3);$ `, S! ]. P5 |3 _# F1 N
@bnd (0,z7,0.4);4 z. |0 V" K7 ^' t
@bnd (0,z8,0.5);1 v. _( _" S) g1 T1 Z0 a( S0 m
@bnd (0,z9,0.3);
9 v5 S9 l4 w2 |0 L @@bnd (0,z10,0.3);) r5 ]! Q+ G+ ~' W) Z! H
y1+z1<=x1;! X6 `4 u: ^* l( h9 K* W
y2+z2<=x2;0 N: T1 x: r8 W+ g! t
y3+z3<=x3;
* B9 P3 G8 M* R8 [; j0 o: B) ry4+z4<=x4;
1 M5 R1 y* f( U$ a3 N1 u, ay5+z5<=x5;# Z5 Q; Z0 H) Q0 O0 e2 v7 c, z M
y6+z6<=x6;
% \! S: H3 p( t% ]$ w9 z3 {y7+z7<=x7;+ M" D4 L4 ]2 F+ N
y8+z8<=x8;) F# I( M+ a9 I( j7 `/ Q8 `: _) N
y9+z9<=x9;4 O0 O- s# u; M4 y% Q; @& F& y
y10+z10<=x10;
8 f4 @; Y$ Q, s3 l+ ]' Qdata8 U6 d0 M3 d! g' G, ?
i=1,2,3,4,5,6,7,8,9,10;: W I4 Q/ S a
a=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;( I' F/ C8 u$ v0 w) [; y& b' v
b=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;
. a1 l& n) B' yc=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;
7 g, q/ m( O' d. _0 l5 id=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;- n- L2 K/ ?# M( v
e=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;
( n! r# T( q7 o/ F% F6 N1 |# ?3 qf=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;; |4 z* }) s4 }( m9 s: c
g=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;4 m& Z) X3 Z# b y) k
h=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;
0 k [( p2 `% J" Y* _$ Q+ gk=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;
3 E0 [( t2 k% Z' j% m+ ~l=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;
4 a. L- x, b5 O# \* [+ V( s) im=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;
5 i5 i$ ^- }2 L" ^" Cn=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651; U; ^" s% m1 y
p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;
! h N. f, y7 Y% N3 a5 x8 x( Pq=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;/ X- o, N# V7 O$ t+ a
s=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;
7 }5 p3 W! a9 \+ \t=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;
1 f1 L$ s1 |. _. S4 s9 T6 zenddata
" a X; _6 y" Y/ C% ~end
X; P& ^% a: M' A- model:. g, X, ^7 j7 b3 o' X/ m\" Z1 O3 B
- max=@sum(Ai-Bi+Di-Ei);' H+ J- J7 r. \; _0 c
- Ai=ai*yi^3+bi*yi^2+ci*yi+di;
2 U) _, j% N6 z, Q4 F1 Q9 r - Bi=ei*xi^3+fi*xi^2+gi*xi+hi;
1 l9 c7 x6 `( j6 N7 Z - Di=ki*zi^3+li*zi^2+mi*zi+ni;
7 M- O5 i# Z S7 F% N# j2 ` - Ei=pi*yi^3+qi*yi^2+si*yi+ti;2 z4 T- j0 v3 E\" k' V( o
- x1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;
3 I5 B/ b/ B4 k! m# R - @bnd (0.8,y1,1.1);
* H: w) X# l$ O - @bnd (2.0,y2,2.3);0 w; p- y! A8 i h) g: b' g
- @bnd (1.0,y3,1.2);; `. ^& e\" W) M2 q$ }# K
- @bnd (1.0,y4,1.5);
( j; @$ \3 F0 m/ C& L2 | - @bnd (2.0,y5,12.5);+ Q' x/ b/ e$ A4 T! q5 _4 `9 B
- @bnd (1.5,y6,1.7);' c$ p1 v* c2 P& p+ J; X
- @bnd (1.1,y7,1.5);
k! b, I$ I- X; W - @bnd (1.7,y8,2.7);
; m8 {8 ^ d\" r - @bnd (1.0,y9,1.3);8 f) x/ _3 s+ B7 j\" c! u
- @bnd (0.5,y10,0.9);
$ `$ `- m1 q3 q6 X/ n7 J - @bnd (0,z1,0.4);7 v0 z, M s, r% z/ H3 C, n
- @bnd (0,z2,0.4);0 Q/ a+ N3 t5 ?0 k7 H- Y
- @bnd (0,z3,0.4);& J& g: m7 z$ A\" }* m
- @bnd (0,z4,0.4);
/ c z# G0 H7 B: T ] - @bnd (0,z5,0.4);
6 V$ x# Q: c4 F: z( q - @bnd (0,z6,0.3);4 U _6 w6 ?$ T! b* y- t/ }
- @bnd (0,z7,0.4);' b! o7 q4 |. ]! [0 w& G
- @bnd (0,z8,0.5);# }. ^: i4 j/ ?, D
- @bnd (0,z9,0.3);2 u. [3 q9 W8 M- t* L) d3 w7 K\" T( [
- @bnd (0,z10,0.3);+ P1 X% l1 K6 z; [, ]
- y1+z1<=x1;
) A( c$ q8 C# F2 K2 l* M- r: T8 G; V - y2+z2<=x2;
9 L! }0 m/ u+ P - y3+z3<=x3;9 C+ l( b' L8 ]9 M, ~
- y4+z4<=x4;. `( q2 @/ `+ L p
- y5+z5<=x5;8 @3 X( t4 z( v2 L
- y6+z6<=x6;
, O' N: p% U$ U( v - y7+z7<=x7;
! s% ~& w+ h8 n0 h( S - y8+z8<=x8;
4 U8 J9 g7 a6 p$ u+ d/ G- ? - y9+z9<=x9;$ s R; c2 H: @5 @! ?
- y10+z10<=x10;
! o8 J B3 v6 b7 z+ Y, Y- k+ m: t - data
: C8 j9 L3 E1 z x! \: j! [2 z - i=1,2,3,4,5,6,7,8,9,10;, m7 c) r! q1 [+ v4 E# |& [: j. i
- a=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;
) h, H& U3 R3 o' X* l: i - b=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;* j0 Q( o/ o% q+ m
- c=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;
% f0 P: ]% \& S2 g\" A- S - d=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;8 N U/ j' g0 k7 D/ F* f. r* F
- e=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;
: ]- a0 j$ _& p7 w' n9 a - f=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;2 F, Y( q\" `; r% e' t
- g=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;\" T o4 z3 `8 k\" C
- h=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;/ a5 R6 f4 m9 S% E9 E- n5 a/ D
- k=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;, B0 h4 B. I6 s' F( U
- l=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;. O L0 g+ e2 N
- m=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;
/ y H/ m4 z F - n=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651;8 l4 B; {\" t. Q0 _- k9 S
- p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;
1 T h! a' c' s2 M+ v - q=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;
9 A& q) f0 u8 |4 r E - s=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;
1 [4 D, c\" j, S - t=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;
% i u Y) D\" D J# M0 i - enddata # O0 Q. x7 S! `3 P
- end* Q$ k' k0 @9 X6 y( C5 F; c
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