Dropbox Diet Challenge (https://www.dropbox.com/jobs/challenges#the-dropbox-diet)

diet.gms

Sets
  i activity 
  /
    free-lunch,
    mixed-nuts,
    orange-juice,
    heavy-ddr-session,
    cheese-snacks,
    cookies,
    mexican-coke,
    dropballers-basketball,
    coding-six-hours,
    riding-scooter,
    rock-band,
    playing-drums
  /;

Parameters
  c(i) calories
  / free-lunch               802
    mixed-nuts               421
    orange-juice             143
    heavy-ddr-session       -302
    cheese-snacks            137
    cookies                  316
    mexican-coke             150
    dropballers-basketball  -611
    coding-six-hours        -466
    riding-scooter           -42
    rock-band               -19
    playing-drums           -295
  /;

Variables
  do(i) do
  z     z;

Binary variable do(i);

Equations
  objfn objective function
  check constraint;

objfn.. z =e= sum((i), do(i));
check.. 0 =e= sum((i), do(i) * c(i));

Model diet /all/;

option iterlim = 999999;
option reslim = 999999;
option optcr = 0;

solve diet using mip maximizing z;

               S O L V E      S U M M A R Y

     MODEL   diet                OBJECTIVE  z
     TYPE    MIP                 DIRECTION  MAXIMIZE
     SOLVER  CPLEX               FROM LINE  53

**** SOLVER STATUS     1 Normal Completion         
**** MODEL STATUS      1 Optimal                   
**** OBJECTIVE VALUE                8.0000

 RESOURCE USAGE, LIMIT          0.018    999999.000
 ITERATION COUNT, LIMIT        76        999999

IBM ILOG CPLEX   Mar 17, 2012 23.8.2 DEX 31442.32372 DEG Mac x86_64/Darwin
Cplex 12.4.0.0

MIP status(101): integer optimal solution
Fixing integer variables, and solving final LP...
Fixed MIP status(1): optimal
Proven optimal solution.

MIP Solution:            8.000000    (76 iterations, 93 nodes)
Final Solve:             8.000000    (0 iterations)

Best possible:           8.000000
Absolute gap:            0.000000
Relative gap:            0.000000


                           LOWER          LEVEL          UPPER         MARGINAL

---- EQU objfn               .              .              .             1.0000      
---- EQU check               .              .              .              .          

  objfn  objective function
  check  constraint

---- VAR do  do

                              LOWER          LEVEL          UPPER         MARGINAL

free-lunch                      .             1.0000         1.0000         1.0000      
mixed-nuts                      .              .             1.0000         1.0000      
orange-juice                    .             1.0000         1.0000         1.0000      
heavy-ddr-session               .             1.0000         1.0000         1.0000      
cheese-snacks                   .             1.0000         1.0000         1.0000      
cookies                         .             1.0000         1.0000         1.0000      
mexican-coke                    .              .             1.0000         1.0000      
dropballers-basketball          .             1.0000         1.0000         1.0000      
coding-six-hours                .             1.0000         1.0000         1.0000      
riding-scooter                  .              .             1.0000         1.0000      
rock-band                       .             1.0000         1.0000         1.0000      
playing-drums                   .              .             1.0000         1.0000      
GAMS Rev 238  XXX-DEG 23.8.2 Mac x86_64/Darwin                                                                                                                                                                                         07/04/12 00:27:02 Page 7
G e n e r a l   A l g e b r a i c   M o d e l i n g   S y s t e m
Solution Report     SOLVE diet Using MIP From line 53


                           LOWER          LEVEL          UPPER         MARGINAL

---- VAR z                 -INF            8.0000        +INF             .          

  z  z


**** REPORT SUMMARY :        0     NONOPT
                             0 INFEASIBLE
                             0  UNBOUNDED


<pre>
EXECUTION TIME       =        0.001 SECONDS      2 Mb  DEX238-238 Apr  3, 2012


USER: GAMS Development Corporation, Washington, DC   G871201/0000CA-ANY
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