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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.
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.
To verify a unit margin ($): Selling price per unit = Unit margin + Cost per Unit; To verify a margin (%): Cost as % of sales = 100% − Margin % "When considering multiple products with different revenues and costs, we can calculate overall margin (%) on either of two bases: Total revenue and total costs for all products, or the dollar ...
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.
Contribution margin (CM), or dollar contribution per unit, is the selling price per unit minus the variable cost per unit. "Contribution" represents the portion of sales revenue that is not consumed by variable costs and so contributes to the coverage of fixed costs. This concept is one of the key building blocks of break-even analysis. [1]
Assume that a firm's total cost function is TC = Q 3-5Q 2 +60Q +125. Then its variable cost function is Q 3 –5Q 2 +60Q, and its average variable cost function is (Q 3 –5Q 2 +60Q)/Q= Q 2 –5Q + 60. The slope of the average variable cost curve is the derivative of the latter, namely 2Q – 5.
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.