model:
9 A5 j( V4 p3 p( j$ f6 e9 Hmax=@sum(Ai-Bi+Di-Ei);3 r! i# t# {) t6 H0 X& n: @( @
Ai=ai*yi^3+bi*yi^2+ci*yi+di; 7 D. s5 A2 ~1 G0 [$ i
Bi=ei*xi^3+fi*xi^2+gi*xi+hi;+ ]' N7 M6 e$ b% u
Di=ki*zi^3+li*zi^2+mi*zi+ni;4 Q$ D& M$ T- y3 l5 f9 j$ Q
Ei=pi*yi^3+qi*yi^2+si*yi+ti;
* Y+ r& f. w1 @8 Z" H7 s$ Bx1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;
5 w* P1 y6 [5 ?8 U( z n% ?@bnd (0.8,y1,1.1);' D% Z; o% R$ n5 s
@bnd (2.0,y2,2.3);
7 k0 @3 C0 [" e% ?& i@bnd (1.0,y3,1.2);
' O4 k- ~2 z7 [. D& {$ ` S* R@bnd (1.0,y4,1.5); m3 N$ i$ [4 X3 \# W! F7 } V
@bnd (2.0,y5,12.5);& x- l; X' c. @3 T: j
@bnd (1.5,y6,1.7);
0 m- }) G' j+ O@bnd (1.1,y7,1.5);
& B! f+ [* _) s1 q' Q+ b+ |- a@bnd (1.7,y8,2.7);
7 i2 n' R# a- D% P8 ?@bnd (1.0,y9,1.3);. ]% S# A) D7 `: i, S; k
@bnd (0.5,y10,0.9);+ J! _1 r: x. @. x9 |- N9 p
@bnd (0,z1,0.4);3 M0 {9 @9 Z% b2 A0 F
@bnd (0,z2,0.4);
/ P# x( H- F# i+ _0 o- D3 ?' M@bnd (0,z3,0.4);( {$ e+ K- @) u9 E! h7 n
@bnd (0,z4,0.4);
/ D Z3 N9 R! V) ~; _@bnd (0,z5,0.4);7 z. a' p# T/ h6 H
@bnd (0,z6,0.3);
/ |& G) Q1 `0 }' d% R@bnd (0,z7,0.4);% q, p, v. x9 Z4 n+ z8 K$ e. N
@bnd (0,z8,0.5);" \4 s9 }- s8 r i5 U4 V
@bnd (0,z9,0.3);' K9 U. R s. T3 F2 z# j
@bnd (0,z10,0.3);
& @5 F# Y. I+ X2 @y1+z1<=x1;
+ @( ^ g: X1 P1 e, xy2+z2<=x2;
/ G, o+ |" R; P0 w+ m0 v* Gy3+z3<=x3;
+ R# `( y8 R/ ty4+z4<=x4;
" u& f8 [. o. \' m$ cy5+z5<=x5;
M) X8 x2 L" Y5 sy6+z6<=x6;
! C' I$ ]/ P& |0 j7 O* _5 i9 xy7+z7<=x7;
8 K3 ~7 f0 Y2 o3 n! F$ ~y8+z8<=x8;
& `% u+ l& l% W! |4 g- N% [y9+z9<=x9;
( V. X6 J2 S# p' _3 R. R) w7 Vy10+z10<=x10;% `0 D7 K1 [. `' k
data
7 j. U/ e! b, I- y. Ri=1,2,3,4,5,6,7,8,9,10;
9 @; }5 L' ]- E. z* ga=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;7 g0 b Q i7 [( s+ {, }( I
b=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;
7 u5 `4 m+ z# k" r! _" A2 Rc=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;: `% W9 }% b" c4 W) i5 Z
d=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;
; u" b1 x2 X6 We=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;
1 Q: T; a" s& m! k4 q6 bf=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;' ?8 v# a& l8 I5 S! s6 M
g=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;
5 }5 J* o% b1 A6 j! Z* oh=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;
& u, ?/ I" n6 Q2 ?2 Ek=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;! n( E6 {) `5 ^6 [7 q
l=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;
7 b. }( q m+ `& S- Km=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;6 y6 N& q, g1 I0 @
n=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651;6 W: {% }% Y7 C) C0 q8 z
p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;& N" Q3 [1 j2 O
q=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;
) L, y" D: n: v7 @s=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;. ?# }. z: a3 _% L3 S
t=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;; f# j; |7 }1 O' l+ \
enddata
, R" S& M, ]4 o4 p [$ J% {9 Jend
3 p) P3 q) g. u& l5 t) y* r- model:7 Y! a, M- z9 l& U- H
- max=@sum(Ai-Bi+Di-Ei);* t N7 s+ p+ \7 ?! |6 z
- Ai=ai*yi^3+bi*yi^2+ci*yi+di;
\" I' I6 l1 W3 G+ d5 J - Bi=ei*xi^3+fi*xi^2+gi*xi+hi;
8 F c3 T$ W \- `# K# R2 w - Di=ki*zi^3+li*zi^2+mi*zi+ni;
/ h: ]; W2 R' [0 ^1 ~- D4 ^ - Ei=pi*yi^3+qi*yi^2+si*yi+ti;6 ?) X- L- U z) L3 t5 ?, {$ m
- x1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;. \& w% F0 C* h# K
- @bnd (0.8,y1,1.1);& h# p% r( T4 m* y
- @bnd (2.0,y2,2.3);
, C6 d( u, J& w$ d% W - @bnd (1.0,y3,1.2);
: ^2 l, s\" W; E9 R i0 i - @bnd (1.0,y4,1.5);; b5 g' w' B8 e: w8 u
- @bnd (2.0,y5,12.5);# v6 W# a g4 ?' s% [4 {5 S
- @bnd (1.5,y6,1.7);3 m9 P4 o4 Q! E& g
- @bnd (1.1,y7,1.5);
* z! Q6 n6 ^3 K( t: p/ ^' y - @bnd (1.7,y8,2.7);
, n0 Y6 q5 O3 H8 K; s8 O. [ - @bnd (1.0,y9,1.3);\" A Y/ G! C$ F$ X( _* ^) _
- @bnd (0.5,y10,0.9);
' U( Q+ S5 e T) V) f+ k - @bnd (0,z1,0.4);
) S4 B6 O! _3 W# w - @bnd (0,z2,0.4);
# s% l! F1 Z$ J$ T - @bnd (0,z3,0.4);+ K0 Q3 C7 X& @8 F4 z
- @bnd (0,z4,0.4);4 I1 D3 k- V& S0 r, H
- @bnd (0,z5,0.4);
: E4 N! u: G. @) a& f\" w# l - @bnd (0,z6,0.3);
2 U; X2 Q5 {. h- O. J G) J - @bnd (0,z7,0.4);
, d) Z$ z+ S; s( N - @bnd (0,z8,0.5);; O% c. h3 b6 E4 W! ~* d3 G7 F0 J6 x( I
- @bnd (0,z9,0.3);. d2 y( O# C6 s% |: m- t0 }1 m
- @bnd (0,z10,0.3);, k% i\" h; k* n! Q9 |+ r
- y1+z1<=x1;% t/ |\" K& S$ c3 l9 y
- y2+z2<=x2;
: |* B3 T- _5 i- m0 O - y3+z3<=x3;- D9 i4 z$ C# z2 |4 Z2 e
- y4+z4<=x4;
$ i% C5 ]+ C% ^# q - y5+z5<=x5;
8 W, b# d- s* s! ~- P# r# M6 } - y6+z6<=x6;) u( o1 }+ C. @: m8 b) u0 T
- y7+z7<=x7;+ p( g6 t. |4 \; T\" q
- y8+z8<=x8;
1 ^' I1 k8 L\" l/ K2 a8 { - y9+z9<=x9;
1 _1 n$ j& a8 x- l - y10+z10<=x10;
5 h+ |' c6 M\" b% } - data; p3 V/ L' P0 E
- i=1,2,3,4,5,6,7,8,9,10;
6 y. C+ t$ {) ?- t# ^2 P) [ - a=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;& G\" u9 ^* Q. L# X# U) o8 h
- b=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;
0 h- B; S$ ^* s, d. z' M - c=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;
5 l' _5 H' o* F. v - d=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;
3 `7 @8 F- Q; J9 W - e=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;
3 V2 ^! p8 h5 m. A - f=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;
2 P) o# b! M' F: f, @ - g=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;0 d! i0 K* I0 A% B& o& q5 o
- h=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;
4 Q1 f' u h& _0 Y- ]4 O8 j+ ` - k=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;# K, G* l- u' R% l1 l% A: ~
- l=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;
5 r' T3 V& g+ X6 D: l1 e- v, Y - m=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;
2 B+ u2 N4 Z8 A; E. @ - n=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651;5 Y5 I. A' `( j/ ]+ I! @1 M( O
- p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;$ [/ n: Z: e. J* u# w! J
- q=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;
* d' }3 M1 t& v+ I. X# L0 B - s=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;: X) |9 X- M- p- r. [. S6 F
- t=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;
6 t- f( X/ T3 S# q0 W/ Q2 s - enddata
$ u; Y: e, s! Y R; H, l - end% I' _7 ^* R8 e
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