Search results
Results From The WOW.Com Content Network
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 rule also implies that, absent menu costs, a firm with market power will never choose a point on the inelastic portion of its demand curve (where and ). Intuitively, this is because starting from such a point, a reduction in quantity and the associated increase in price along the demand curve would yield both an increase in revenues ...
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 ...
When a non-price determinant of demand changes, the curve shifts. These "other variables" are part of the demand function. They are "merely lumped into intercept term of a simple linear demand function." [14] Thus a change in a non-price determinant of demand is reflected in a change in the x-intercept causing the curve to shift along the x ...
The function of TR is graphed as a downward opening parabola due to the concept of elasticity of demand. When price goes up, quantity will go down. Whether the total revenue will grow or drop depends on the original price and quantity and the slope of the demand curve.
A synonymous term is uncompensated demand function, because when the price rises the consumer is not compensated with higher nominal income for the fall in their real income, unlike in the Hicksian demand function. Thus the change in quantity demanded is a combination of a substitution effect and a wealth effect.
() = inverse demand function; the price at which can be sold given the existing demand = total cost of producing . = economic profit; This is done by equating the derivative of with respect to to 0. The profit of a firm is given by total revenue (price times quantity sold) minus total cost:
() = is the equation for the market demand function. [4] Market with two firms i = 1, 2 with constant marginal cost c i; Inverse market demand for a homogeneous good: P(Q) = a − bQ; Where Q is the sum of both firms' production levels: Q = q 1 + q 2; Firms choose their quantity simultaneously (static game) Firms maximize their profit: