model:. A3 t) z: o. b+ M6 Q7 ?% t* o
max=@sum(Ai-Bi+Di-Ei);
5 V- C- u/ }& lAi=ai*yi^3+bi*yi^2+ci*yi+di; . p) ]% @+ V! h1 c
Bi=ei*xi^3+fi*xi^2+gi*xi+hi;
6 g9 u; Y& f% q; Y8 HDi=ki*zi^3+li*zi^2+mi*zi+ni;
+ W% B1 t9 m2 Y2 n' oEi=pi*yi^3+qi*yi^2+si*yi+ti;
8 _' k2 ]) T+ w: K0 K1 Qx1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;
. H; b1 X" h5 P# B@bnd (0.8,y1,1.1);
' q6 I7 {% ~& c6 i1 F' r@bnd (2.0,y2,2.3);7 v" b4 b. k! K* s* ]
@bnd (1.0,y3,1.2);, G r8 f" @( j9 S @$ N. U
@bnd (1.0,y4,1.5);
J& j) q. R6 Q9 M! l- B# O@bnd (2.0,y5,12.5);
" {0 X1 ?5 c( E@bnd (1.5,y6,1.7);' C! D+ P4 ]" ^9 X, T
@bnd (1.1,y7,1.5);
, N3 y: N- t% X2 P@bnd (1.7,y8,2.7);# ]4 g" X+ I' V0 k, }! c5 _
@bnd (1.0,y9,1.3);
6 @% j3 H- B$ I5 C9 Y1 ~& T x@bnd (0.5,y10,0.9);
, r8 S( B/ g2 T@bnd (0,z1,0.4);
( `( L1 j& {$ g( X$ N' P@bnd (0,z2,0.4);
+ W7 J) Y8 r; j- W" N: F% b* @' q: w7 K@bnd (0,z3,0.4);
3 e* p& K( O- u; A" }1 Y, ` e. |@bnd (0,z4,0.4);( r5 Y+ z" t1 }
@bnd (0,z5,0.4);7 W4 ]4 }; r( ]
@bnd (0,z6,0.3);9 y% k; C/ N T8 Y! f( c
@bnd (0,z7,0.4);
% K, b% E1 D6 x; w" ^@bnd (0,z8,0.5);
) H5 F5 G1 G; ]) u& c" H8 m" R@bnd (0,z9,0.3);
3 x+ K" k# m- C* a+ B4 n) z+ n@bnd (0,z10,0.3);# U( [' p- `8 M$ C. b
y1+z1<=x1; D& N' P G! {. c% @* N
y2+z2<=x2;0 U: u1 U2 B: G& A
y3+z3<=x3;" i+ ?) b4 ^3 C* c$ X# i; y
y4+z4<=x4;
( U y; L$ o, Iy5+z5<=x5;; J& ]1 k2 \! N7 E
y6+z6<=x6;- o9 z$ P4 o* }; W6 i
y7+z7<=x7;
4 J! l% t/ o) V5 F$ py8+z8<=x8;
3 @! m. i$ P1 f# hy9+z9<=x9;! N, T1 F5 O! X3 H8 p e) [8 y
y10+z10<=x10;
& B% J1 m, g+ e, j/ p9 C/ @data) T/ Y" U+ y- ]/ j) q
i=1,2,3,4,5,6,7,8,9,10;7 | i7 T7 Y: c
a=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;1 o2 J1 X4 m( j
b=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;2 i# Z+ R6 M( `/ j
c=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;
0 Y( q% F @0 c( m: @: M( ad=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;
2 z+ _6 L B0 fe=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;
4 Q; T/ W/ `" A6 i. J# P: ~f=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;
4 e2 {/ x& y$ D& pg=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;; ^: ~- m* W6 W1 d1 Q2 H
h=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;4 F' r& Z- Y1 w F
k=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;
' N2 |! _% E: P3 K3 C: N6 ll=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;$ F& n2 X- _' P5 G L3 A
m=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;
& Y' v7 p0 i# k# [ P: U4 _+ kn=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651;
! K2 v* t9 X) z3 f; }p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;
. ?# i: N) ~' L qq=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;+ ]3 H) o( v- H' O0 E4 I+ u
s=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;
" ~3 F/ b7 r/ Y+ }t=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;
/ A% `/ p4 \+ w) N, _! a/ Eenddata ) \' E( l+ z2 {& N) u" `2 D/ _
end
$ C0 Y' q% A5 D& I; O z$ X0 v- model:- u% M8 n\" o9 U# ^/ |0 z
- max=@sum(Ai-Bi+Di-Ei);
* C7 N\" k0 U3 p- b, m* b. G0 [ - Ai=ai*yi^3+bi*yi^2+ci*yi+di; , K2 z; M6 V9 }
- Bi=ei*xi^3+fi*xi^2+gi*xi+hi;
! P$ l3 ]5 i1 o& ~ - Di=ki*zi^3+li*zi^2+mi*zi+ni;0 o- ~\" Z5 r# C3 Y# q v
- Ei=pi*yi^3+qi*yi^2+si*yi+ti;1 k! x8 x& E' D
- x1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;) |7 i0 f* t) M7 H
- @bnd (0.8,y1,1.1);, v! X' D\" C$ v1 C% `: B, ~+ B$ p
- @bnd (2.0,y2,2.3);8 A! [: e3 K: N+ i; q9 j/ q: q0 \
- @bnd (1.0,y3,1.2);
1 Y5 |' `) n1 H% \8 U - @bnd (1.0,y4,1.5);$ P: G6 P; ~5 T, G
- @bnd (2.0,y5,12.5);
$ z* N5 ]) B% A# o: ~) [8 R' m - @bnd (1.5,y6,1.7);
* Y7 J. F- W( n R, z - @bnd (1.1,y7,1.5);0 M7 C% ]- a) @$ y
- @bnd (1.7,y8,2.7);; H3 _4 B$ c1 w6 M) g
- @bnd (1.0,y9,1.3);- }/ i) S8 y6 K( X4 _* L
- @bnd (0.5,y10,0.9);
$ N7 \$ G' R* V/ S - @bnd (0,z1,0.4);
: [: Z4 Q$ n1 U, f2 ]' H, P1 x3 l - @bnd (0,z2,0.4);
+ a& v w' k4 `1 N/ Z\" e* @ - @bnd (0,z3,0.4);; ]# Q\" O5 B' \1 e6 k
- @bnd (0,z4,0.4);9 Q0 [; e+ h/ W% Y$ v
- @bnd (0,z5,0.4);% W. d\" d, w& f6 Y( {$ c
- @bnd (0,z6,0.3);
: g) [1 V4 D0 W6 U - @bnd (0,z7,0.4);% Y! q! a- C2 E9 A
- @bnd (0,z8,0.5); \7 k/ |4 D; s& U# Y
- @bnd (0,z9,0.3);
3 }& l7 s# t7 v% K; o$ @* w - @bnd (0,z10,0.3);/ `7 E) ^* N r: `. S6 g
- y1+z1<=x1;
) L, J\" w- q {: V4 B - y2+z2<=x2;
# b# F- T# O$ s8 k( r. e) c - y3+z3<=x3;8 i( T: ^ N% D. `$ L% r7 u
- y4+z4<=x4;
' j* w. Z D; Q4 x0 N' _$ P - y5+z5<=x5;
9 p8 N. h ], I0 H1 i& x n - y6+z6<=x6;3 ] E' Z r# y: k9 g W
- y7+z7<=x7;2 D7 }1 w% N% _, p: F/ x) Q
- y8+z8<=x8;$ i6 d B. r+ ^* [) H* @
- y9+z9<=x9;% G0 [: `: U4 O
- y10+z10<=x10;
. ` L8 B: w$ _1 j t - data
2 d9 y; y# l4 X+ Q1 p+ X. E+ ~ - i=1,2,3,4,5,6,7,8,9,10;: V' G7 R# \- q
- a=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;
- j! M/ d+ I4 ~3 s. Q+ g0 ` - b=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;\" B% y1 X0 q P# r ]. }
- c=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;
$ R6 L4 C2 ^\" s1 z3 ~, ?% d* d - d=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;
) B! O- R1 |- ?6 A g! z - e=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;
# n; `$ }$ S; n' |2 n - f=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;9 I3 B8 q( C' R# W6 k; D- M* }
- g=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;
' g( _! [\" k4 U) h; l2 G - h=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;
5 d\" s6 L9 x# s) i1 }: E - k=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;' d' U/ v/ j4 O5 b
- l=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;$ r) G( N- \( ]- ], R( @
- m=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;
- V7 T6 x ?# k, k- r: } - n=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651;6 h1 B# l0 { @. S
- p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;
4 x; z2 V+ n3 n) q% l2 x8 D - q=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;
; g9 N# E\" G/ o: V\" ^ - s=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;
\" V# D# \7 x: h3 X+ o; @ - t=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;
( A1 r7 @3 A\" X' ? d8 A8 M# A5 N - enddata # w4 y, G7 ?7 d# V0 b
- end2 s2 X# s( K3 \. j& q
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