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An example diagram of Profit Maximization: In the supply and demand graph, the output of is the intersection point of (Marginal Revenue) and (Marginal Cost), where =. The firm which produces at this output level is said to maximize profits.
The mathematical profit maximization conditions ("first order conditions") ensure the price elasticity of demand must be less than negative one, [2] [7] since no rational firm that attempts to maximize its profit would incur additional cost (a positive marginal cost) in order to reduce revenue (when MR < 0). [1]
The company maximises its profits and produces a quantity where the company's marginal revenue (MR) is equal to its marginal cost (MC). The company is able to collect a price based on the average revenue (AR) curve. The difference between the company's average revenue and average cost, multiplied by the quantity sold (Qs), gives the total profit.
This diagram shows an example corner solution where the optimal bundle lies on the x-intercept at point (M,0). IC 1 is not a solution as it does not fully utilise the entire budget, IC 3 is unachievable as it exceeds the total amount of the budget. The optimal solution in this example is M units of good X and 0 units of good Y.
A monopolist can set a price in excess of costs, making an economic profit. The above diagram shows a monopolist (only one firm in the market) that obtains a (monopoly) economic profit. An oligopoly usually has economic profit also, but operates in a market with more than just one firm (they must share available demand at the market price).
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.
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.
The social profit from a firm's activities is the accounting profit plus or minus any externalities or consumer surpluses that occur in its activity. An externality including positive externality and negative externality is an effect that production/consumption of a specific good exerts on people who are not involved.