Answer:
According to F.A. Hayek, the fundamental problem facing every society is how to use limited resources in the most optimal way possible.
Step-by-step explanation:
To Hayek, this problem could not be fully solved by any society, but the best a society could do is to rely on the price system, only possible under a free market, to signal which uses were more optimal than others.
This is also the reason why F.A. Hayek, along with fellow Austrian economists Ludwing Von Mises, believe that socialism could not work: socialism, according to Hayek and Mises, destroyes the price system, and without it, society has no rational way to allocate resources in an optimal way.