model:
+ ~3 O$ H: z" G& G; m. v, ^max=@sum(Ai-Bi+Di-Ei);
s8 k9 `* Y( HAi=ai*yi^3+bi*yi^2+ci*yi+di;
+ c# Q9 `( p: _3 Q }# s5 B2 dBi=ei*xi^3+fi*xi^2+gi*xi+hi;
. H. h% K+ L6 [# T7 dDi=ki*zi^3+li*zi^2+mi*zi+ni;
; |* `+ k/ \! p4 _/ ?Ei=pi*yi^3+qi*yi^2+si*yi+ti;
. D! P, f& R I2 D9 d0 ux1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;8 i. [# f* H$ y3 ], {/ s' u
@bnd (0.8,y1,1.1);) U+ _; K% q, t( P
@bnd (2.0,y2,2.3);
, h! z8 i9 Z* T( F) z@bnd (1.0,y3,1.2);0 s! o' R: c: T) k9 }' [1 Y, O
@bnd (1.0,y4,1.5);4 w9 x. O% ^/ I; }
@bnd (2.0,y5,12.5);
. H0 C8 h1 g1 O@bnd (1.5,y6,1.7);
0 h+ g4 z" S0 b8 l" I N1 z@bnd (1.1,y7,1.5);
5 g. p0 O3 i9 v* k2 y$ ?@bnd (1.7,y8,2.7);
$ H( l/ K' M5 }, l@bnd (1.0,y9,1.3);# m/ }) s& L7 Z' G
@bnd (0.5,y10,0.9);' D3 K2 B. T5 `/ S0 I/ e
@bnd (0,z1,0.4);& m4 P+ q0 Q4 }* n# `3 E
@bnd (0,z2,0.4);
9 \1 `' @3 B9 ?0 J+ `; @7 ^@bnd (0,z3,0.4);
0 _/ l# V, P- u7 v0 w4 I@bnd (0,z4,0.4);
6 z( ^2 A" ]& v, ]+ b Z1 [@bnd (0,z5,0.4);
/ V# [3 a' W! c) k- T; t' E$ Q@bnd (0,z6,0.3);
/ N7 I& t6 e& t( m7 z- L/ D8 v/ h3 [" q@bnd (0,z7,0.4);5 }, _1 {3 x4 I2 Z
@bnd (0,z8,0.5);/ G! u' F. Y- O
@bnd (0,z9,0.3);" q9 [( i7 f f7 ~
@bnd (0,z10,0.3);
1 @& ^ h( `8 G; z& `; m* {: iy1+z1<=x1;" f; a% B9 d% A$ W' T
y2+z2<=x2;% ]; G7 a X3 s% e( U1 N1 K
y3+z3<=x3;, m6 o: U; z0 j* D8 j; L
y4+z4<=x4;
( I5 N7 \" w8 J# @7 By5+z5<=x5;
$ U, {3 n# F6 |( z7 C2 S" Jy6+z6<=x6;( R2 f7 h1 A9 A4 W3 z$ z
y7+z7<=x7;
+ U d* z6 X' @5 b$ r ty8+z8<=x8;" y0 W" p. `" S/ J8 W: D# i. o
y9+z9<=x9;
/ H8 U) H! C: Fy10+z10<=x10;2 {7 z% c: ]* n- S& X1 U
data
4 t( @4 [" w0 g: li=1,2,3,4,5,6,7,8,9,10;
5 }" L- D$ Q% P& \( |a=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;
. _5 n4 U) O# |7 Y8 `8 eb=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905; k9 \9 [2 [" C' V* z" B1 N
c=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;% M3 j8 q% S! M, U- L
d=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;
% J# j" Q1 A; z6 @. c# pe=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;4 x( ?9 p4 F% C' x' g9 E! g- y
f=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;0 d9 O- T& v0 c' I6 z4 P
g=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;
5 }3 t4 {" w4 U) U' rh=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;
) B* h0 U4 n9 z' M; xk=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;1 N/ [9 J; }( ^$ s3 f/ c( ^
l=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;
" q6 H1 U* ?6 j' S- r1 Jm=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;
0 p- [! O O4 g2 t* Q% w" L# E% Zn=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651;6 `/ }5 @+ u1 \5 m2 s M q
p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;% `. X4 ]& B& f+ ~+ \" F3 M
q=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;
7 R2 @, m% O9 }7 A0 Us=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;
+ \/ Y7 M. C. |- `$ D7 Jt=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;+ Y2 M3 e, C) I. v) V' Y$ Y
enddata
2 H3 [& J# C* Xend2 [6 b$ U- }/ K- _$ W. `
- model:
& y+ m# @/ [! ]% t - max=@sum(Ai-Bi+Di-Ei);) u2 K% J% G% b/ Z
- Ai=ai*yi^3+bi*yi^2+ci*yi+di;
* M3 D: M4 s Y6 B* s - Bi=ei*xi^3+fi*xi^2+gi*xi+hi;
, z6 C* a; T2 W6 M r% A - Di=ki*zi^3+li*zi^2+mi*zi+ni;
0 K: M. o9 Y% j; s% U- m5 y: U - Ei=pi*yi^3+qi*yi^2+si*yi+ti;
' o( ` R% |) G; D$ I/ Z% G - x1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;* ?+ H8 q' I\" F; m& s* i
- @bnd (0.8,y1,1.1); G% y. ~# O8 p' x: ?5 B
- @bnd (2.0,y2,2.3);9 L5 q4 M0 ^; G- J2 ]
- @bnd (1.0,y3,1.2);
+ v8 H0 V6 o+ U/ P1 M8 J, E - @bnd (1.0,y4,1.5);
4 X- V( I: B+ ?) n# ~6 ~( A - @bnd (2.0,y5,12.5);# N$ \% r9 G* J7 U( U4 m
- @bnd (1.5,y6,1.7);
0 L- q) H( s. O) n8 [0 R- G - @bnd (1.1,y7,1.5);1 U4 |3 Y. a9 \. p5 G. g\" r+ o/ \
- @bnd (1.7,y8,2.7);
; G* ?& a2 J\" z - @bnd (1.0,y9,1.3);/ Z& W3 e/ r/ @. U1 Z, l1 U2 p# ^
- @bnd (0.5,y10,0.9);
- W& `. t8 v. p$ L: r5 M - @bnd (0,z1,0.4);
% g& f& T* P3 z0 K7 D$ \* j b - @bnd (0,z2,0.4);
5 v$ o6 Q* N3 f. Q6 x: O, f' k) t+ n - @bnd (0,z3,0.4);
& y5 s& z9 N$ J3 j. _: b4 F - @bnd (0,z4,0.4);
+ M1 m4 v+ \\" z+ ]: \8 t) S1 p - @bnd (0,z5,0.4);
1 V4 R! x$ i1 k3 s; a: d- y, i - @bnd (0,z6,0.3);
0 P i/ d1 D4 O/ p! Z1 S - @bnd (0,z7,0.4);/ p+ t2 G) T9 d/ d
- @bnd (0,z8,0.5);
) m\" h+ E# O% V$ T4 [( X - @bnd (0,z9,0.3);7 S8 N s4 ^* Y2 G& o: q7 {
- @bnd (0,z10,0.3);
% z/ T4 C6 r5 |( K) j3 R2 [ - y1+z1<=x1;\" ^5 ~' E- J8 D6 x3 n+ d! f
- y2+z2<=x2;, j3 ]' L% P- R7 V% O% p0 i
- y3+z3<=x3;
! N/ E* ^8 C\" Y% } - y4+z4<=x4;. m. w. w% m' J* c2 {4 _
- y5+z5<=x5;
- }+ x2 c6 e9 o! y\" ]4 _% u - y6+z6<=x6;
4 \( V5 O/ m P; O - y7+z7<=x7;- W( f* o b- l6 i+ v
- y8+z8<=x8;2 T\" |5 R% L+ E2 V p! B& ?+ _
- y9+z9<=x9;; ~/ ^% a\" f w7 C }\" a
- y10+z10<=x10;9 a5 @( E2 J$ r
- data9 e* p( m+ ^+ M% m, h
- i=1,2,3,4,5,6,7,8,9,10;
0 o* w\" Z$ i9 t# @% \9 \1 M5 j# b - a=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048; \9 a$ h1 O4 g# V) C n
- b=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;
! c9 s/ `3 T6 I' w6 j# Z* z - c=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;
$ u! V G: `1 z& I% J& q4 d, G - d=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;
/ C2 [' F! E+ A. M6 { - e=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;
$ ]! t4 h\" Z2 ~) F - f=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;- ^/ G5 i\" `2 O; a# e
- g=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;
9 D6 m3 |8 o* [1 E% S - h=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241; \) p0 H4 ~4 R9 U1 }3 \
- k=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;3 z; Y6 s' Z8 o) u4 Q
- l=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;
- Z9 L1 y6 s( \% k* @3 U- m - m=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44; n8 b& d6 g2 I6 H8 l0 b6 o
- n=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651;
* g6 n; Z( o/ ^# ?, Y - p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;
* {5 C# ?5 m% \1 L1 i! G - q=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;( D/ H/ D; z8 Q, _, O
- s=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;/ M4 E+ M% G( W6 j7 S. D: x, g
- t=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;
: K\" y\" c2 z1 l; Q% _ - enddata
3 w4 S4 J. l1 @ - end- u% e. G2 _! y; Y) _/ r3 V
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