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The marginal revenue function has twice the slope of the inverse demand function. [9] The marginal revenue function is below the inverse demand function at every positive quantity. [10] The inverse demand function can be used to derive the total and marginal revenue functions. Total revenue equals price, P, times quantity, Q, or TR = P×Q.
The graph of the demand curve uses the inverse demand function in which price is expressed as a function of quantity. The standard form of the demand equation can be converted to the inverse equation by solving for P: =. [6]
Contract curve; Cost curve; Demand curve. Aggregate demand curve; Compensated demand curve; Duck curve; Engel curve; Hubbert curve; Indifference curve; J curve; Kuznets curve; Laffer curve; Lorenz curve; Phillips curve; Supply curve. Aggregate supply curve; Backward bending supply curve of labor
To compute the inverse demand equation, simply solve for P from the demand equation. [12] For example, if the demand equation is Q = 240 - 2P then the inverse demand equation would be P = 120 - .5Q, the right side of which is the inverse demand function. [13] The inverse demand function is useful in deriving the total and marginal revenue ...
The standard logistic function is the logistic function with parameters =, =, =, which yields = + = + = / / + /.In practice, due to the nature of the exponential function, it is often sufficient to compute the standard logistic function for over a small range of real numbers, such as a range contained in [−6, +6], as it quickly converges very close to its saturation values of 0 and 1.
The above equation, when plotted with quantity demanded on the -axis and price on the -axis, gives the demand curve, which is also known as the demand schedule. The demand curve is downward sloping illustrating the inverse relationship between quantity demanded and price.
When supply and demand are linear functions the outcomes of the cobweb model are stated above in terms of slopes, but they are more commonly described in terms of elasticities. The convergent case requires that the slope of the (inverse) supply curve be greater than the absolute value of the slope of the (inverse) demand curve:
Markup is the difference between price and marginal cost. The formula states that markup as a percentage of price equals the negative (and hence the absolute value) of the inverse of the elasticity of demand. [33] A lower elasticity of demand implies a higher markup at the profit maximising equilibrium. [31]