Say that the general assignment problem has *n*
people and *n* tasks. Let c_{ij} represent the effectiveness
if person *I* is assigned to task *j*. For the general assignment
model, the objective is maximizing the total effectiveness of the assignments,
i.e.:

maximize: total effectiveness of the assignments

subject to: number of tasks person *i* is assigned
= 1 (i = 1 , . . . , n)

number of persons assigned to task *j* = 1 (j = 1 , . . . , n)