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Profit maximization using the total revenue and total cost curves of a perfect competitor. To obtain the profit maximizing output quantity, we start by recognizing that profit is equal to total revenue minus total cost (). Given a table of costs and revenues at each quantity, we can either compute equations or plot the data directly on a graph.
Profit maximization requires that a firm produces where marginal revenue equals marginal costs. Firm managers are unlikely to have complete information concerning their marginal revenue function or their marginal costs. However, the profit maximization conditions can be expressed in a “more easily applicable form”: MR = MC, MR = P(1 + 1/e),
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.
where marginal revenue equals marginal cost. This is usually called the first order conditions for a profit maximum. [2] A monopolist will set a price and production quantity where MC=MR, such that MR is always below the monopoly price set. A competitive firm's MR is the price it gets for its product, and will have Price=MC. According to Samuelson,
Profit maximizer: monopolists will choose the price or output to maximise profits at where MC=MR.This output will be somewhere over the price range, where demand is price elastic. If the total revenue is higher than total costs, the monopolists will make abnormal profits .
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.
To derive MC the first derivative of the total cost function is taken. For example, assume cost, C, equals 420 + 60Q + Q 2. then MC = 60 + 2Q. [11] Equating MR to MC and solving for Q gives Q = 20. So 20 is the profit-maximizing quantity: to find the profit-maximizing price simply plug the value of Q into the inverse demand equation and solve ...
A firm with monopoly power sets a monopoly price that maximizes the monopoly profit. [4] The most profitable price for the monopoly occurs when output level ensures the marginal cost (MC) equals the marginal revenue (MR) associated with the demand curve. [4]