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The marginal revenue function is the first derivative of the total revenue function or MR = 120 - Q. Note that in this linear example the MR function has the same y-intercept as the inverse demand function, the x-intercept of the MR function is one-half the value of the demand function, and the slope of the MR function is twice that of the ...
Marginal revenue is a fundamental tool for economic decision making within a firm's setting, together with marginal cost to be considered. [ 9 ] In a perfectly competitive market, the incremental revenue generated by selling an additional unit of a good is equal to the price the firm is able to charge the buyer of the good.
Under the standard assumption of neoclassical economics that goods and services are continuously divisible, the marginal rates of substitution will be the same regardless of the direction of exchange, and will correspond to the slope of an indifference curve (more precisely, to the slope multiplied by −1) passing through the consumption bundle in question, at that point: mathematically, it ...
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 Samuelson condition, due to Paul Samuelson, [1] in the theory of public economics, is a condition for optimal provision of public goods. For an economy with n consumers, the conditions is: ∑ i = 1 n MRS i = MRT {\displaystyle \sum _{i=1}^{n}{\text{MRS}}_{i}={\text{MRT}}}
All superlative indices produce similar results and are generally the favored formulas for calculating price indices. [14] A superlative index is defined technically as "an index that is exact for a flexible functional form that can provide a second-order approximation to other twice-differentiable functions around the same point." [15]
We can use the value of the Lerner index to calculate the marginal cost (MC) of a firm as follows: 0.4 = (10 – MC) ÷ 10 ⇒ MC = 10 − 4 = 6. The missing values for industry B are found as follows: from the E d value of -2, we find that the Lerner index is 0.5. If the price is 30 and L is 0.5, then MC will be 15:
In neoclassical economics, which is currently the mainstream approach to microeconomics, the firm is assumed to be a "rational agent" (whether operating in a perfectly competitive market or otherwise) which wants to maximize its total profit, which is the difference between its total revenue and its total cost.