min=(y*b-x*a)^2+y^2*c^2+(b+(1-z)*(a-b)-x*a)^2+z^2*c^2+(b+(1-z)*(a-b)-y*b)^2+(z*c-y*c)^2;6 M5 E, h* M( e% K, Z0 T. m. ~8 b
a=16;b=14;c=12;' I* K m! r. E2 l) d
9 k x0 s, K$ i) J
- h8 r' t) O3 y/ T$ s) J$ n) n
Licensee info: Eval Use Only . _1 Q3 T4 ]9 C* w5 o3 @9 ^- N' a License expires: 6 APR 2025 , K% Y; F5 E- K, k7 i0 b9 J5 \! B7 C 9 I" l7 k% h v1 B" _7 h/ z Global optimal solution found. 2 l, r7 r! X$ x1 h Objective value: 148.6452( {- m7 d; l* o5 f2 ]4 J3 b
Infeasibilities: 0.000000( }: ~/ y% p4 f* G
Total solver iterations: 5; x/ Y0 X7 W/ d; _- d
Elapsed runtime seconds: 0.92 1 I, @* I$ e! m2 b) @! w: K2 e Model is convex quadratic$ J* a3 U& x3 H0 o+ e, [( G
1 A5 ^6 u1 Q4 Y3 F
Model Class: QP ( D2 R* W1 v8 M9 D+ M8 ?3 c( w* n6 I; Z5 |
Total variables: 3* u) m' W9 V" d) h6 `
Nonlinear variables: 3 2 ?, F r7 F+ z2 k- a& L8 e4 K Integer variables: 0" F0 a/ k; M3 ?2 j3 b) \. c
. \3 G$ j- y9 C6 I+ F, Y( A
Total constraints: 1 ' U A& U2 n/ e/ D4 W( _7 | Nonlinear constraints: 1 ( }; x$ x- x$ I) p8 }# c' z1 } 0 B T( |7 R: Q+ T2 V% } Total nonzeros: 3 $ _3 m) e/ Y9 M6 J8 E. A) B Nonlinear nonzeros: 6) r+ i4 ~/ D* }8 y# a# ?: \. z. w7 L
% E- d7 ]( {+ S& o + o" E" H) m+ ~2 M4 k9 Z1 M" }) d9 q1 I0 H) v9 _
Variable Value Reduced Cost8 Y5 C, G( r' o
Y 0.6451613 0.2550979E-074 z. A/ Y, ~! o, F6 O) p
B 14.00000 0.000000 ! E# R( i% v, ^9 ?7 Y& O0 U6 K X 0.7580645 -0.6827543E-07 , Z" y8 M5 K P8 [5 X% d2 D" N A 16.00000 0.000000 - J. ?/ \4 V- n c7 T6 X. n C 12.00000 0.000000 " [, F H( W, N! J2 v Z 0.3870968 0.1606168E-082 o, G5 [$ o4 h# W( n& N4 q s! [4 t; M
, X4 Z0 q2 \8 m! A+ Y8 X Row Slack or Surplus Dual Price + T0 v7 @# I: m* h' {, Z. }0 ~ 1 148.6452 -1.000000# ]9 Y' h" _# V. S; T* H
2 0.000000 -11.38837 : t# k$ V X6 F3 ]- O8 M) O9 { 3 0.000000 4.7948514 t4 }/ l4 B' h( X% K
4 0.000000 -15.184348 s& H+ F: }4 f! @0 ^8 W