If a firm's fixed costs are larger than its variable costs, does this mean the firm should shut down operation in the short run? Explain.

Yes, the firm should shut down because this means that the firm is not covering its fixed costs.
Yes, the firm should shut down because it is incurring a loss.
This does not necessarily mean that is should shut down, because that decision depends on whether marginal revenue is equal to marginal cost.
This does not necessarily mean that it should shut down, because that decision depends on whether total revenue is larger than variable costs.