Final answer:
The statement that a problem has an unbounded solution if an isoprofit line can be moved outward indefinitely, making the objective function reach infinity, is True.
Step-by-step explanation:
If an isoprofit line can be moved outward such that the objective function value can be made to reach infinity, then this problem has an unbounded solution. The statement is True. In the context of linear programming, the isoprofit lines represent levels of profit associated with different combinations of decision variables. If you can keep increasing the profit without any bound by moving along the direction of optimization, then the solution is unbounded. This implies that there is no finite maximum (or minimum) value for the objective function because as you move the isoprofit line further out, the value of the objective function keeps increasing indefinitely.