model:
$ t5 y$ z, r/ @max=@sum(Ai-Bi+Di-Ei);
; j9 i! m0 c& ?6 \* g. u5 JAi=ai*yi^3+bi*yi^2+ci*yi+di;
# @' c: e. h! X4 A cBi=ei*xi^3+fi*xi^2+gi*xi+hi; K9 y( \$ ^! D
Di=ki*zi^3+li*zi^2+mi*zi+ni;
9 Z1 K4 K3 e) x5 gEi=pi*yi^3+qi*yi^2+si*yi+ti;
2 v( C/ P. \! \* Px1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;
8 {6 M* R: ?' C1 T8 Z@bnd (0.8,y1,1.1);5 Y- v& Z" `1 t, y4 B b
@bnd (2.0,y2,2.3);' ~) p2 c! D3 B9 }6 R' E+ g5 ^
@bnd (1.0,y3,1.2); t+ h9 X* f9 M, \4 P) b) W, L" d' [
@bnd (1.0,y4,1.5);2 X4 b/ P7 W" s
@bnd (2.0,y5,12.5);
, H$ x0 e5 v4 F, q@bnd (1.5,y6,1.7);
+ A3 J, Z9 Z9 L! D7 j. R@bnd (1.1,y7,1.5);
5 d5 \! `, W2 ?& x' _% ^@bnd (1.7,y8,2.7);
8 S3 J# W( g' j1 K" D@bnd (1.0,y9,1.3);
- t, w& N% {, I1 J. }+ ]; @. p@bnd (0.5,y10,0.9);: Q5 W7 T1 G- X9 E
@bnd (0,z1,0.4);2 F- A+ r2 B2 Y# Z+ u
@bnd (0,z2,0.4);. @8 H) |8 ?8 n' Q6 n ~/ C4 K
@bnd (0,z3,0.4);# ]7 E3 Z4 }" U" ~
@bnd (0,z4,0.4);
7 X6 E# }, p' o- A8 K1 G( @@bnd (0,z5,0.4);
% S; ~1 P0 A$ K; }6 d@bnd (0,z6,0.3);
/ @* B( r9 R o8 A- `. _@bnd (0,z7,0.4);
& E/ d) ?" O( w% h6 t. ]1 E@bnd (0,z8,0.5);# F# r I0 x% B$ K
@bnd (0,z9,0.3);; B+ n3 Y* [! R+ m' i
@bnd (0,z10,0.3);
7 v- e3 l, V3 v- T2 W" E! G$ Ry1+z1<=x1;' \. U( u* c' |3 F( t+ L( `
y2+z2<=x2;5 _- j O. s* }" ^. ^- T/ ]) F
y3+z3<=x3;
9 h3 Z$ k2 ~9 e. d( zy4+z4<=x4;" \- J$ c+ v' X3 i
y5+z5<=x5;
8 T6 q( Q7 b3 |' B9 m6 t) ~y6+z6<=x6;
' A/ E% ~) l" Ny7+z7<=x7;
( @% O6 @2 I6 }) L2 d9 Wy8+z8<=x8;
. k+ U& N& I6 m/ A9 Cy9+z9<=x9;" A8 Q# J0 k/ C! D/ m
y10+z10<=x10;7 a, J' F$ V8 u9 L7 E: k
data. A/ I9 L8 P1 \! L' _
i=1,2,3,4,5,6,7,8,9,10;
8 [# n" b' a( t. `. `( Ya=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;6 x- e- I: H- b1 M* c0 i# [
b=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;- z2 O6 e# d y! Y( \1 _. `* F4 C
c=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;
V0 F& X' R- v; ~2 D; E2 |- z! Vd=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;
# F7 I, u+ q/ g" `! v; be=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;
1 S$ K' j+ o" h+ w" Q! \f=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;4 O9 G( R5 L- f4 p9 | [
g=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;
4 W1 _' w2 ]. j/ ]9 |, p% V! `$ Zh=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;8 r0 C8 M1 L& C" o& @
k=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;
; r( y: @7 u! D0 r, p; i, r, `l=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;
* y& k; k9 g' `, x0 k( ~m=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;9 @& d# ]' @& _8 l) m
n=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651; A7 D, Y5 f' a7 A5 D
p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;
T) ~7 ]% {% l4 b( z8 k6 i Q' w) c7 P* Nq=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;
, y9 C( ^3 K. J# }, R" M4 vs=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;
! M% J; k' M, z6 ~* n" |t=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;! S+ ~& u- Z/ j; N3 K( x
enddata
' b) @3 C. } R, tend/ e' |+ j: T* F/ V7 ]; o
- model:
: z3 S\" ^! V; G) Q7 R - max=@sum(Ai-Bi+Di-Ei);
; r! B' w' j+ K! ? - Ai=ai*yi^3+bi*yi^2+ci*yi+di;
, z @, O) l+ I2 p) ]/ M - Bi=ei*xi^3+fi*xi^2+gi*xi+hi;
. d2 h$ V. v& a0 m; R' F - Di=ki*zi^3+li*zi^2+mi*zi+ni;! o* J6 S0 k( e2 R) k, X1 @
- Ei=pi*yi^3+qi*yi^2+si*yi+ti;
/ ?+ O4 @* h( s7 V* C l - x1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;
. D4 K' }% B( L. O9 _1 n - @bnd (0.8,y1,1.1);
e4 b+ a$ w3 ]# n - @bnd (2.0,y2,2.3);
* j0 u# N4 Z0 l4 e: x - @bnd (1.0,y3,1.2);
7 v& N& Y9 K! V& }6 l - @bnd (1.0,y4,1.5);
& r3 n; x* _- m: b - @bnd (2.0,y5,12.5);
1 g+ o2 ^8 i; n6 b6 U4 U - @bnd (1.5,y6,1.7); I( ?6 k) s' q5 m\" N9 y
- @bnd (1.1,y7,1.5);
9 o% g& O! i; s/ a\" Y - @bnd (1.7,y8,2.7);
3 D% l: p: |) P3 \\" h% |( ? - @bnd (1.0,y9,1.3);6 g5 S: i3 m @8 d( n% y
- @bnd (0.5,y10,0.9);. {. m1 f/ j3 N- F; i0 V: N% n
- @bnd (0,z1,0.4);# z. R* w/ i5 ^
- @bnd (0,z2,0.4);
% I7 \\" H9 q7 ]! m/ ] - @bnd (0,z3,0.4);
! Q7 Y# i# s% y0 e6 ^1 k6 X+ b% Z - @bnd (0,z4,0.4);
, c: ?' Z; B; b3 d y - @bnd (0,z5,0.4);, g, R; |# R5 U/ e- S2 u8 @
- @bnd (0,z6,0.3);/ z0 u: u* {2 l- Q\" {: |6 J8 A7 V3 R
- @bnd (0,z7,0.4);( F; j+ W& U) Y
- @bnd (0,z8,0.5);( F% n, K+ i- a% a0 ~
- @bnd (0,z9,0.3);3 M [5 j3 R2 I) o& k4 J
- @bnd (0,z10,0.3);1 B. r\" d1 A\" Z2 F! P i6 W9 [) Y
- y1+z1<=x1;7 H2 @. I8 A0 H5 e
- y2+z2<=x2;
3 b W3 y5 H; G6 Y) G8 X* u* ` - y3+z3<=x3;
0 e1 T, F o+ m7 r# D - y4+z4<=x4;
, q3 j5 o7 M' z\" X# q! m - y5+z5<=x5;
/ p% P- c\" u8 W! K* B+ ` | - y6+z6<=x6;3 |8 I' I$ ~; M- Q/ Y+ t) e
- y7+z7<=x7;
5 q% e2 o1 k; C8 N6 G/ d8 ^ - y8+z8<=x8;/ ]1 P7 ?1 p7 U
- y9+z9<=x9;. g, W+ C# t/ z8 W \/ u3 I2 x% M
- y10+z10<=x10;
5 O' E) j- {) l3 [$ z; ? - data
( M! \8 @8 v& _5 ]/ q - i=1,2,3,4,5,6,7,8,9,10;
5 N9 N0 z9 B# j# X7 G2 X! T - a=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;
5 P; t6 G5 g/ E* c - b=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;
\" r6 w. i) L+ p' o. A' \0 {. B4 i\" K - c=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;
: ]1 p% N0 @ k9 Z8 c - d=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;/ A; Q: M+ t6 E7 ?/ d5 F3 Z
- e=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;, y5 @0 i- J3 L. D: H, P0 h
- f=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;1 z9 t2 S! a* S. Y\" J
- g=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;3 ~3 N( z+ C: V, X3 H\" P
- h=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;% d. B( c8 ~# g9 h
- k=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;
9 w! g% {% I2 G* ] - l=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;) w9 z/ F$ M% \9 A, ?3 B# P
- m=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;
- o, H9 _' P, I4 I+ z) { - n=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651;0 g6 L) |/ ^! J m* X
- p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;* P4 N9 g6 _5 k+ j
- q=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;+ n: g `0 d9 A
- s=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;
. q0 w\" u; n\" a8 ]. _( D; l5 Q$ t& E - t=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;+ r\" N t4 |: m$ z5 l
- enddata 1 A. Z5 p; C; K- S3 a. {
- end
1 F7 [: p9 I) ~, T' x: n: X+ u
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