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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.
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.
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.
Revenue management (RM) is a discipline to maximize profit by optimizing rate (ADR) and occupancy (Occ). In its day to day application the maximization of Revenue per Available Room (RevPAR) is paramount. It is seen by some as synonymous with yield management.
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: