Final answer:
Without constraints in a network model with integer data, it is not possible to guarantee the existence of a feasible, infeasible, or optimal solution. Constraints are critical for defining feasibility and optimality in such models.
Step-by-step explanation:
The question is asking what results from a network model with integer data but without any constraints. Generally, in the absence of constraints, it is not possible to determine a specific type of solution solely based on the data being all integers. Constraints are essential in network models to define feasible regions and aid in finding solutions that satisfy all the conditions of the problem. Without constraints, the system is not properly defined, and one cannot guarantee that a feasible solution, infeasible solution, or optimal solution will be found. Instead, we are left with an underdetermined system where multiple or no solutions might exist.
Mathematical models do not need to capture every detail to be useful. They form the boundaries within which we can analyze possible outcomes and make decisions based on that analysis. Absence of constraints in a model typically signifies that the model is incomplete or not adequately defined for finding a solution.