reset;

option solver cplex;
#option solver './minos'; # fuer macOS

param N := 17;									# Number of projects/workers
param w {i in 1..N,j in 1..N} := round(Uniform(0,10));	# willingness of worker j to take project i

var x {i in 1..N,j in 1..N} binary;	            # whether worker j takes project i

maximize LP1: sum{i in 1..N,j in 1..N} w[i,j]*x[i,j];

subject to NB1{j in 1..N}: sum{i in 1..N} x[i,j] = 1;  # each project has to be taken
subject to NB2{i in 1..N}: sum{j in 1..N} x[i,j] = 1;  # each worker has to take one project

solve;

display x;