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Price and total revenue have a negative relationship when demand is elastic (price elasticity > 1), which means that increases in price will lead to decreases in total revenue. Price changes will not affect total revenue when the demand is unit elastic (price elasticity = 1). Maximum total revenue is achieved where the elasticity of demand is 1.
In simple terms, although profit is related to total cost, =, the enterprise can maximize profit by producing to the maximum profit (the maximum value of ) to maximize profit. But when the total cost increases, it does not mean maximizing profit Will change, because the increase in total cost does not necessarily change the marginal cost.
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.
The Laffer curve assumes that no tax revenue is raised at the extreme tax rates of 0% and 100%, meaning that there is a tax rate between 0% and 100% that maximizes government tax revenue. [a] [1] [2] The shape of the curve is a function of taxable income elasticity—i.e., taxable income changes in
Revenue management strives to determine the value of a product to a very narrow micro-market at a specific moment in time and then chart customer behavior at the margin to determine the maximum obtainable revenue from those micro-markets. [5] Micro-markets can be derived qualitatively by conducting a dimensional analysis.
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.
To calculate the break-even point in terms of revenue (a.k.a. currency units, a.k.a. sales proceeds) instead of Unit Sales (X), the above calculation can be multiplied by Price, or, equivalently, the Contribution Margin Ratio (Unit Contribution Margin over Price) can be calculated: