model:
, k$ \; Q; Q6 x% M( Smax=@sum(Ai-Bi+Di-Ei);
9 l9 |0 c+ G' u' y- M0 G! S' HAi=ai*yi^3+bi*yi^2+ci*yi+di; + O9 K5 l$ X5 i6 p3 j
Bi=ei*xi^3+fi*xi^2+gi*xi+hi;' Y3 p, W$ Z* `3 J* f9 @. X) l
Di=ki*zi^3+li*zi^2+mi*zi+ni;
. X2 R( |8 X! f Y: |5 a/ h( K" LEi=pi*yi^3+qi*yi^2+si*yi+ti;0 z' E6 n2 z1 a# |6 R6 [. j# @
x1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;
+ f% p* X. A4 Z; E% ]7 M+ c- e@bnd (0.8,y1,1.1);+ ^; F5 L2 N/ y6 A& Q o
@bnd (2.0,y2,2.3);
% c& L2 X) Z3 D1 ^@bnd (1.0,y3,1.2);
9 e1 T9 O) `0 Y/ p+ Q3 r@bnd (1.0,y4,1.5);. e* ?& Z5 m. i
@bnd (2.0,y5,12.5);# A& c' R/ @" c. F& J/ {1 G+ _% d
@bnd (1.5,y6,1.7);- b6 B3 `: z3 @8 o
@bnd (1.1,y7,1.5);, [/ Q- g$ c& c9 [3 U' [/ f/ A& ?
@bnd (1.7,y8,2.7);
" @ j; A) m2 N/ M& Y: O@bnd (1.0,y9,1.3);
) {5 Z# G" v& X3 Q@bnd (0.5,y10,0.9);
# K+ o% l: u6 G- M. |! V1 J- k: `0 G@bnd (0,z1,0.4);
; }6 H" E- r/ V2 l( w@bnd (0,z2,0.4);. g) n# G. w& t* Z& p% I- B% [( c
@bnd (0,z3,0.4);8 |0 C+ M/ E3 S- R$ |* s
@bnd (0,z4,0.4);
& v& C+ G6 w! N0 g@bnd (0,z5,0.4);/ [6 Q& Q" E7 h6 K. | x$ Z: X
@bnd (0,z6,0.3);+ Z. j, s# ~- t8 O f6 S8 U0 i
@bnd (0,z7,0.4);
7 c) E, V8 X0 s S* b; D@bnd (0,z8,0.5);. |# |# ?6 j4 {' [9 {/ E
@bnd (0,z9,0.3);
7 \* Z0 [: Z( U: s! `2 @@bnd (0,z10,0.3);
% g6 p9 m/ c# H! m7 sy1+z1<=x1;
1 d p6 ]2 ~, z/ {y2+z2<=x2;+ X9 \% u/ b& \
y3+z3<=x3;
2 K# g% }* ] q+ y3 Z8 f A! gy4+z4<=x4;; ?. f- S2 w n! m
y5+z5<=x5;
# |# _8 c: }2 y2 H5 R+ Ty6+z6<=x6;
5 J, l& R* J9 R# X# b5 Ey7+z7<=x7;
* b/ a8 j# [3 e g% iy8+z8<=x8;2 c# ]- W+ ^1 F, P% R; p2 N
y9+z9<=x9;
: h! {, o# X# S( J3 y5 `# Zy10+z10<=x10;1 B5 l6 O" m5 M" O9 c1 m
data
1 d/ i: R7 I2 Z1 ti=1,2,3,4,5,6,7,8,9,10;3 `* i7 m- f( y* F# L4 R/ v/ o
a=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;. }1 J/ q( U: ~8 E; W# U2 M) h
b=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;- e2 G; L+ O% ~; E& ?
c=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;
& G0 d7 ~: q( x! Vd=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;
- B( V4 G7 {8 m4 M9 n9 ie=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;3 p+ P! n# }+ ?
f=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;
& S' u! B1 T' ]" o& J! n" r% u3 ug=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;! G2 {# c" H1 V$ {! \$ w& s" N
h=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;
4 x0 k7 j I( j2 k7 n2 R4 Ik=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;
3 H) O H* e. S" }; ll=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;
' Y5 ]! E* B6 t1 ^! i1 W1 w# Rm=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;0 h2 p; P& z+ C( I+ O( Q
n=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651;: s3 {$ b+ @' \
p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;
0 C7 g! M$ [- w& e W# K/ R" N' Wq=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;8 t% c* q1 q2 T. ~; S2 V! j
s=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611; G+ d5 F% N x8 c) Q6 I, x
t=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;* G& s9 t/ @& H5 o# A5 j& U
enddata
5 X) `% b& g U( rend1 I, u8 H3 _. R- N1 V! l3 p. L
- model:
: s1 c1 R- N1 m5 o% x4 L0 u5 K - max=@sum(Ai-Bi+Di-Ei);9 a- N+ y/ w4 J
- Ai=ai*yi^3+bi*yi^2+ci*yi+di;
5 g ]2 V3 s Q7 K: k - Bi=ei*xi^3+fi*xi^2+gi*xi+hi;
! V\" d+ z Z) W7 ]5 r3 @9 n* `\" u9 O - Di=ki*zi^3+li*zi^2+mi*zi+ni;
1 A4 n3 G# @+ G6 g* y( v - Ei=pi*yi^3+qi*yi^2+si*yi+ti;
1 G. X: q, y- f! A\" \ - x1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;
* |' R, V\" `0 C2 f& H% Z* F - @bnd (0.8,y1,1.1);
5 f6 E k+ ?& \7 g - @bnd (2.0,y2,2.3);8 G. g+ m/ r: e8 j
- @bnd (1.0,y3,1.2);
( Y% q# p4 }0 A d7 [( T - @bnd (1.0,y4,1.5);
, V0 e4 I1 c. m2 H) p - @bnd (2.0,y5,12.5);
/ G! I& k2 s# p+ B - @bnd (1.5,y6,1.7);0 x I; l\" U9 z2 P
- @bnd (1.1,y7,1.5);3 @- ?8 [2 _0 b( O: L: z6 \
- @bnd (1.7,y8,2.7);
& v' l0 l) x: b+ k1 I$ [ - @bnd (1.0,y9,1.3);) h+ d9 }; s$ P( `4 H. q
- @bnd (0.5,y10,0.9);
7 R( p- N9 X. T+ S - @bnd (0,z1,0.4);
+ q k% D$ X f\" z1 y1 W K- S - @bnd (0,z2,0.4);% v* E. ~3 p+ m. X1 K/ i
- @bnd (0,z3,0.4);
+ _- E0 ]+ o\" U4 S( Y* ^* R: a* E - @bnd (0,z4,0.4);
& v' B- y' W+ _1 d - @bnd (0,z5,0.4); X4 ]% } j/ z8 i }4 o# T0 n
- @bnd (0,z6,0.3);: `7 K; x; j9 i( W* g
- @bnd (0,z7,0.4);! C! \8 d\" Y% g I: ~, e
- @bnd (0,z8,0.5);4 ?. l1 m+ Q\" |- y2 }' q
- @bnd (0,z9,0.3);
( n8 M- x\" E- P# p9 v/ V - @bnd (0,z10,0.3);
l4 k$ Q+ C6 ^$ q3 V - y1+z1<=x1;
% c9 z4 A5 G, S: o - y2+z2<=x2;
% [6 y0 G6 [6 m% \9 f+ M - y3+z3<=x3;
\" x3 L* N; d) L d8 c+ j - y4+z4<=x4;4 R0 ?8 q* |9 R) Z5 ]; @: {! m
- y5+z5<=x5;
0 ~; x* a; N) ~\" t9 F' o - y6+z6<=x6;1 S3 f5 |3 U. P\" O7 n
- y7+z7<=x7;2 R M( z# T5 ]3 u: @0 _7 M/ `
- y8+z8<=x8;
8 w\" v/ e2 @8 o) I - y9+z9<=x9;& i0 j6 t+ w+ z4 N
- y10+z10<=x10;
1 q4 r9 s# K' C# ^ - data
\" X\" g! w% v8 }: ^5 j+ n6 R( A - i=1,2,3,4,5,6,7,8,9,10;
( P7 U1 y% y( j* ]7 J) D& O - a=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;. n9 k1 e$ E% M6 }7 C0 X; H
- b=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;8 d+ A4 h( V d1 V
- c=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;
# I2 R+ Z5 Y# |\" v* L8 W - d=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;
$ W) X9 t# q6 D# q) t0 h+ P - e=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;3 j3 O7 V: h\" U/ J1 x
- f=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;- _) O* x+ x/ u+ u
- g=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;
$ U: i+ y\" T( W6 f2 _7 K* Z$ w& Z - h=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;
8 |! g! k8 g% G. }* D4 v6 Z: l/ Z - k=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;* S% ^- B: L/ [7 s3 Z0 V
- l=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;
6 G: g3 S/ U* T - m=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;
- J9 v H\" x\" x) c7 t - n=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651;
3 r* ?6 k2 ~) F9 U% Q& g - p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;
9 s9 I9 F! ]/ X - q=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;
! Y8 w( o7 [1 B. g# F/ p& B - s=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;
8 u9 p! l6 y b5 ?0 m- L. v% n0 D0 D - t=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;/ l( X7 L+ {8 \4 k$ d
- enddata
& @0 R\" P% U\" v5 |1 |4 m - end' b: b! z d0 C1 U! c
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