If the competitive firm is currently producing at a level of output at which profit is not maximized then it must be true that the Marginal revenue is less than the Marginal cost.
Marginal revenue refers to the increase in revenue earned by the increase in the sale of one additional unit of output.
The primary purpose of a firm is to make a "Profit" in the Long-run.
The goal of a firm is to maximize profits and minimize losses, so a shutdown is near if a firm is operating at the level of output where marginal revenue is not equal to or lesser than marginal cost.
Thus, the Firm keeps expanding its operations and production activity as long as the Marginal revenue is more than the marginal cost.
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