1 ============================== M I N O S 5.5 (Aug 1997) ============================== BEGIN FREUND MAXIMIZE LIST 200 OBJECTIVE CERTAIN NONLINEAR OBJECTIVE VARIABLES 5 RHS RHS01 BOUNDS BOUND01 VERIFY GRADIENTS SOLUTION FILE 20 END FREUND Reasonable Workspace limits are 0 ... 11501 Actual Workspace limits are 0 ... 30000 ... 30000 words of z. 1 MPS file -------- 1 NAME FREUND 2 ROWS 3 L LAND 4 L CAPITAL 5 L LABOR 6 N CERTAIN 7 COLUMNS 8 COTTON LAND 1.000 CAPITAL 225.000 9 COTTON LABOR 1.000 CERTAIN 285.000 10 CORN LAND 1.000 CAPITAL 50.000 11 CORN LABOR 0.100 CERTAIN 184.500 12 WHEAT LAND 1.000 CAPITAL 33.333 13 WHEAT LABOR 0.050 CERTAIN 105.700 14 PEANUTS LAND 1.000 CAPITAL 333.333 15 PEANUTS LABOR 0.750 CERTAIN 347.500 16 SOYBEAN LAND 1.000 CAPITAL 25.000 17 SOYBEAN LABOR 0.100 CERTAIN 204.000 18 RHS 19 RHS01 LAND 640.00 CAPITAL 44000.0 20 RHS01 LABOR 100.00 21 ENDATA Names selected -------------- Objective CERTAIN (Max) 1 RHS RHS01 3 RANGES 0 BOUNDS BOUND01 0 No. of INITIAL bounds specified 0 No. of superbasics specified 0 Nonzeros allowed for in LU factors 14863 Scale option 0, Partial price 1 Partial price section size (A) 5 Partial price section size (I) 4 Matrix Statistics ----------------- Total Normal Free Fixed Bounded Rows 4 3 1 0 0 Columns 5 5 0 0 0 No. of matrix elements 20 Density 100.000 Biggest 3.3333E+02 (excluding fixed columns, Smallest 5.0000E-02 free rows, and RHS) No. of objective coefficients 5 Biggest 3.4750E+02 (excluding fixed columns) Smallest 1.0570E+02 Nonlinear constraints 0 Linear constraints 4 Nonlinear variables 5 Linear variables 0 Jacobian variables 0 Objective variables 5 Initial basis ------------- No basis file supplied Crash option 3 Crash on linear E rows: 1 Iterations ---------- Itn 0 -- linear E rows feasible. Obj = 0.000000000E+00 Crash on linear LG rows: Slacks 4 Free cols 0 Preferred 0 Unit 0 Double 0 Triangle 0 Pad 0 Itn 0 -- linear constraints satisfied. 5795.20 2814.80 1655.80 4967.30 2814.80 1367.20 804.20 2412.70 1655.80 804.20 473.10 1419.20 4967.30 2412.70 1419.20 4257.70 5298.40 2573.50 1513.80 4541.50 funobj sets 5 out of 5 objective gradients. Verification of objective gradients returned by subroutine funobj. The objective gradients seem to be OK. Gradient projected in two directions 0.00000000000E+00 0.00000000000E+00 Difference approximations -3.35825640966E-08 -1.59370810457E-08 j x(j) dx(j) g(j) Difference approxn 1 0.00000000E+00 1.49E-08 0.00000000E+00 -8.63552094E-10 ok 2 0.00000000E+00 1.49E-08 0.00000000E+00 -2.03728676E-10 ok 3 0.00000000E+00 1.49E-08 0.00000000E+00 -7.04973936E-11 ok 4 0.00000000E+00 1.49E-08 0.00000000E+00 -6.34446740E-10 ok 5 0.00000000E+00 1.49E-08 0.00000000E+00 -7.21856952E-10 ok 5 objective gradients out of 1 thru 5 seem to be OK. XXX The largest relative error was 8.64E-10 in column 1 Itn rg ninf sinf objective LU nobj nsb cond(H) 1 -3.5E+02 0 0.000E+00 4.51281827E+04 4 1 EXIT -- optimal solution found Problem name FREUND No. of iterations 3 Objective value 1.2095835566E+05 No. of major iterations 1 Linear objective 1.2998767791E+05 Penalty parameter 1.000000 Nonlinear objective -9.0293222501E+03 No. of calls to funobj 18 No. of calls to funcon 0 No. of superbasics 0 No. of basic nonlinears 3 No. of degenerate steps 0 Percentage 0.00 Norm of x 5.8E+04 Norm of pi 1.8E+02 Max Primal infeas 0 0.0E+00 Max Dual infeas 4 1.5E-13 1 1 SOLUTION file saved on file 20 1 NAME FREUND OBJECTIVE VALUE 1.2095835566E+05 STATUS OPTIMAL SOLN ITERATION 3 SUPERBASICS 0 OBJECTIVE CERTAIN (Max) RHS RHS01 RANGES BOUNDS BOUND01 SECTION 1 - ROWS NUMBER ...ROW.. STATE ...ACTIVITY... SLACK ACTIVITY ..LOWER LIMIT. ..UPPER LIMIT. .DUAL ACTIVITY ..I 6 LAND UL 640.00000 . None 640.00000 139.78852 1 7 CAPITAL UL 44000.00000 . None 44000.00000 0.00427 2 8 LABOR UL 100.00000 . None 100.00000 222.76345 3 9 CERTAIN BS 129987.67791 -129987.67791 None None -1.0 4 1 SECTION 2 - COLUMNS NUMBER .COLUMN. STATE ...ACTIVITY... .OBJ GRADIENT. ..LOWER LIMIT. ..UPPER LIMIT. REDUCED GRADNT M+J 1 COTTON LL . 239.25012 . None -124.26341 5 2 CORN BS 436.92382 162.27854 . None 0.00000 6 3 WHEAT LL . 92.62897 . None -58.44017 7 4 PEANUTS BS 55.38462 308.28563 . None 0.00000 8 5 SOYBEAN BS 147.69157 162.17170 . None . 9 funobj called with nstate = 2 Time for MPS input 0.02 seconds Time for solving problem 0.03 seconds Time for solution output 0.04 seconds Time for constraint functions 0.00 seconds Time for objective function 0.00 seconds ENDRUN