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Short-run profit maximization:

A firm maximizes its profits by choosing to supply the level of output where its marginal revenue equals its marginal cost. When marginal revenue exceeds marginal cost, the firm can earn greater profits by increasing its output. When marginal revenue is below marginal cost, the firm is losing money, and consequently, it must reduce its output. Profits are therefore maximized when the firm chooses the level of output where its marginal revenue equals its marginal cost.

Marginal Revenue:

Marginal Revenue is the revenue that is gained from the sale of an additional unit. It is the revenue that a company can generate for each additional unit sold; there is a marginal cost attached to it, which has to be accounted for. A company calculates marginal revenue by dividing the change in total revenue by the change in total output quantity. Therefore, the sale price of a single additional item sold equals marginal revenue.

I hope it helps.