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In microeconomics, marginal profit is the increment to profit resulting from a unit or infinitesimal increment to the quantity of a product produced. Under the marginal approach to profit maximization, to maximize profits, a firm should continue to produce a good or service up to the point where marginal profit is zero. At any lesser quantity ...
On the other hand, if the marginal revenue is less than the marginal cost (<), then too its total profit is not maximized, because producing one unit less will reduce total cost more than total revenue gained, thus giving the firm more total profit. In this case, a "rational" firm has an incentive to reduce its output level until its total ...
Under certain assumptions, the production function can be used to derive a marginal product for each factor. The profit-maximizing firm in perfect competition (taking output and input prices as given) will choose to add input right up to the point where the marginal cost of additional input matches the marginal product in additional output.
The marginal cost can also be calculated by finding the derivative of total cost or variable cost. Either of these derivatives work because the total cost includes variable cost and fixed cost, but fixed cost is a constant with a derivative of 0.
The marginal profit per unit of labor equals the marginal revenue product of labor minus the marginal cost of labor or M π L = MRP L − MC L A firm maximizes profits where M π L = 0. The marginal revenue product is the change in total revenue per unit change in the variable input assume labor. [10] That is, MRP L = ∆TR/∆L. MRP L is the ...
or "marginal revenue" = "marginal cost". A firm with market power will set a price and production quantity such that marginal cost equals marginal revenue. A competitive firm's marginal revenue is the price it gets for its product, and so it will equate marginal cost to price.
These functions describe each firm's optimal (profit-maximizing) quantity of output given the price firms face in the market, , the marginal cost, , and output quantity of rival firms. The functions can be thought of as describing a firm's "Best Response" to the other firm's level of output.
For example, in economics the optimal profit to a player is calculated subject to a constrained space of actions, where a Lagrange multiplier is the change in the optimal value of the objective function (profit) due to the relaxation of a given constraint (e.g. through a change in income); in such a context is the marginal cost of the ...