****************************************************
*   MOTAD PROBLEM                                  *
*   ANDERSON, DILLON, AND HARDAKER, P.210          *
****************************************************;
DATA LPMODEL;
INPUT _TYPE_ $  _ROW_ $ _COL_ $ _COEF_;
CARDS;
MAX       PROFIT       .                          .
.         PROFIT       X1                       108.3
.         PROFIT       X2                       66.36
.         PROFIT       X3                       127.58
LE        ROW1         X1                       1.0
.         ROW1         X2                       1.0
.         ROW1         X3                       1.0
.         ROW1         _RHS_                    12.0
LE        ROW2         X1                       1.0
.         ROW2         X3                       1.0
.         ROW2         _RHS_                    8.0
LE        ROW3         X1                       30.0
.         ROW3         X2                       20.0
.         ROW3         X3                       40.0
.         ROW3         _RHS_                    400.0
LE        ROW4         X1                       5.0
.         ROW4         X2                       5.0
.         ROW4         X3                       8.0
.         ROW4         _RHS_                    80.0
;


PROC LP SPARSEDATA ;
     TITLE1 '(1) LP MODEL - MOTAD PROBLEM -- ANDERSON, DILLON & HARDAKER, P. 210';
     TITLE2 'LINEAR PROGRAMMING (LP) SOLUTION';


DATA MOTAD1;
INPUT _TYPE_ $  _ROW_ $ _COL_ $ _COEF_;
CARDS;
MAX       PROFIT       .                          .
.         PROFIT       X1                       108.3
.         PROFIT       X2                       66.36
.         PROFIT       X3                       127.58
LE        ROW1         X1                       1.0
.         ROW1         X2                       1.0
.         ROW1         X3                       1.0
.         ROW1         _RHS_                    12.0
LE        ROW2         X1                       1.0
.         ROW2         X3                       1.0
.         ROW2         _RHS_                    8.0
LE        ROW3         X1                       30.0
.         ROW3         X2                       20.0
.         ROW3         X3                       40.0
.         ROW3         _RHS_                    400.0
LE        ROW4         X1                       5.0
.         ROW4         X2                       5.0
.         ROW4         X3                       8.0
.         ROW4         _RHS_                    80.0
GE        ROWY1        X1                       -8.5
.         ROWY1        X2                       1.94
.         ROWY1        X3                       -14.88
.         ROWY1        Y1                       1.0
.         ROWY1        _RHS_                    0.0
GE        ROWY2        X1                       25.0
.         ROWY2        X2                       64.04
.         ROWY2        X3                       110.82
.         ROWY2        Y2                       1.0
.         ROWY2        _RHS_                    0.0
GE        ROWY3        X1                       34.4
.         ROWY3        X2                       -33.06
.         ROWY3        X3                       -33.68
.         ROWY3        Y3                       1.0
.         ROWY3        _RHS_                    0.0
GE        ROWY4        X1                       46.0
.         ROWY4        X2                       8.04
.         ROWY4        X3                       -44.38
.         ROWY4        Y4                       1.0
.         ROWY4        _RHS_                    0.0
GE        ROWY5        X1                       -96.9
.         ROWY5        X2                       -40.96
.         ROWY5        X3                       -17.88
.         ROWY5        Y5                       1.0
.         ROWY5        _RHS_                    0.0
EQ        ROWY         Y1                       1.0
.         ROWY         Y2                       1.0
.         ROWY         Y3                       1.0
.         ROWY         Y4                       1.0
.         ROWY         Y5                       1.0
.         ROWY         _RHS_                    0.00
RHSSEN    ROWY         _RHSSEN_                 1.0
;


PROC LP SPARSEDATA RHSPHI=1500 PARAPRINT ;
     TITLE1 '(2) MOTAD PROBLEM -- ANDERSON, DILLON & HARDAKER, P. 210';
     TITLE2 'MOTAD INCOME MAXIMIZATION SOLUTION';



DATA MOTAD2;
INPUT _TYPE_ $  _ROW_ $ _COL_ $ _COEF_;
CARDS;
MIN       ROWY         Y1                       1.0
.         ROWY         Y2                       1.0
.         ROWY         Y3                       1.0
.         ROWY         Y4                       1.0
.         ROWY         Y5                       1.0
LE        ROW1         X1                       1.0
.         ROW1         X2                       1.0
.         ROW1         X3                       1.0
.         ROW1         _RHS_                    12.0
LE        ROW2         X1                       1.0
.         ROW2         X3                       1.0
.         ROW2         _RHS_                    8.0
LE        ROW3         X1                       30.0
.         ROW3         X2                       20.0
.         ROW3         X3                       40.0
.         ROW3         _RHS_                    400.0
LE        ROW4         X1                       5.0
.         ROW4         X2                       5.0
.         ROW4         X3                       8.0
.         ROW4         _RHS_                    80.0
GE        ROWY1        X1                       -8.5
.         ROWY1        X2                       1.94
.         ROWY1        X3                       -14.88
.         ROWY1        Y1                       1.0
.         ROWY1        _RHS_                    0.0
GE        ROWY2        X1                       25.0
.         ROWY2        X2                       64.04
.         ROWY2        X3                       110.82
.         ROWY2        Y2                       1.0
.         ROWY2        _RHS_                    0.0
GE        ROWY3        X1                       34.4
.         ROWY3        X2                       -33.06
.         ROWY3        X3                       -33.68
.         ROWY3        Y3                       1.0
.         ROWY3        _RHS_                    0.0
GE        ROWY4        X1                       46.0
.         ROWY4        X2                       8.04
.         ROWY4        X3                       -44.38
.         ROWY4        Y4                       1.0
.         ROWY4        _RHS_                    0.0
GE        ROWY5        X1                       -96.9
.         ROWY5        X2                       -40.96
.         ROWY5        X3                       -17.88
.         ROWY5        Y5                       1.0
.         ROWY5        _RHS_                    0.0
EQ        PROFIT       .                          .
.         PROFIT       X1                       108.3
.         PROFIT       X2                       66.36
.         PROFIT       X3                       127.58
.         PROFIT       _RHS_                    0.0
RHSSEN    PROFIT       _RHSSEN_                 1.0
;


PROC LP SPARSEDATA RHSPHI=1500 PARAPRINT ;
     TITLE1 '(3) MOTAD PROBLEM -- ANDERSON, DILLON & HARDAKER, P. 210';
     TITLE2 'MOTAD RISK MINIMIZATION SOLUTION';


RUN;