If there is no optimal solution, then picking none maximises utility.
This statement is not necessarily true when there is no optimal solution because the solutions are part of an infinite set of solutions. That is, it is not true in exactly the situation described in your problem.
Sorry, that was badly phrased. It should have been: “If there is no optimal solution, then no matter what solution you pick you won’t be able to maximise utility”
This statement is not necessarily true when there is no optimal solution because the solutions are part of an infinite set of solutions. That is, it is not true in exactly the situation described in your problem.
Sorry, that was badly phrased. It should have been: “If there is no optimal solution, then no matter what solution you pick you won’t be able to maximise utility”