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The profit maximization issue can also be approached from the input side. That is, what is the profit maximizing usage of the variable input? [13] To maximize profit the firm should increase usage of the input "up to the point where the input's marginal revenue product equals its marginal costs". [14]
In the short-run, a profit-maximizing firm will: Increase production if marginal cost is less than marginal revenue (added revenue per additional unit of output); Decrease production if marginal cost is greater than marginal revenue;
Mathematically, the markup rule can be derived for a firm with price-setting power by maximizing the following expression for profit: = () where Q = quantity sold, P(Q) = inverse demand function, and thereby the price at which Q can be sold given the existing demand C(Q) = total cost of producing Q.
Both the marginal cost and marginal revenue are extremely important in economics as a firm's profit is maximized when the marginal cost is equal to the marginal revenue. [26] Managers can make business decisions on the output level based on this analysis in order to maximize the profit of the firm.
Hotelling's lemma is a result in microeconomics that relates the supply of a good to the maximum profit of the producer. It was first shown by Harold Hotelling, and is widely used in the theory of the firm. Specifically, it states: The rate of an increase in maximized profits with respect to a price increase is equal to the net supply of the good.
In a single-goods case, a positive economic profit happens when the firm's average cost is less than the price of the product or service at the profit-maximizing output. The economic profit is equal to the quantity of output multiplied by the difference between the average cost and the price.
The degree to which a firm can raise its price above marginal cost depends on the shape of the demand curve at a firm's profit maximising level of output. [47] Consequently, the relationship between market power and the price elasticity of demand (PED) can be summarised by the equation:
The firm in a perfectly competitive market will operate in two economic time horizons; the short-run and long-run. In the short-run the firm adjusts its quantity produced according to prices and costs. While in the long run the firm is adjusting its methods of production to ensure they produce at a level where marginal cost equals marginal ...