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The total cost, total revenue, and fixed cost curves can each be constructed with simple formula. For example, the total revenue curve is simply the product of selling price times quantity for each output quantity. The data used in these formula come either from accounting records or from various estimation techniques such as regression analysis.
Total costs = fixed costs + (unit variable cost × number of units) Total revenue = sales price × number of unit These are linear because of the assumptions of constant costs and prices, and there is no distinction between units produced and units sold, as these are assumed to be equal.
The Unit Contribution Margin (C) is Unit Revenue (Price, P) minus Unit Variable Cost (V): C = P − V {\displaystyle C=P-V} [ 1 ] The Contribution Margin Ratio is the percentage of Contribution over Total Revenue, which can be calculated from the unit contribution over unit price or total contribution over Total Revenue:
Most people find it easier to work with gross margin because it directly tells you how much of the sales revenue, or price, is profit: If an item costs $100 to produce and is sold for a price of $200, the price includes a 100% markup which represents a 50% gross margin. Gross margin is just the percentage of the selling price that is profit.
It is shown graphically as the point where the total revenue and total cost curves meet. In the linear case the break-even point is equal to the fixed costs divided by the contribution margin per unit. The break-even point is achieved when the generated profits match the total costs accumulated until the date of profit generation.
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.
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.
In economics, profit is the difference between revenue that an economic entity has received from its outputs and total costs of its inputs, also known as surplus value. [1] It is equal to total revenue minus total cost, including both explicit and implicit costs. [2]