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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 ...
A demand curve is a graph depicting the inverse demand function, [1] a relationship between the price of a certain commodity (the y-axis) and the quantity of that commodity that is demanded at that price (the x-axis).
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 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 ...
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.
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.
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In keeping with modern convention, a demand curve would instead be drawn with price on the x-axis and demand on the y-axis, because price is the independent variable and demand is the variable that is dependent upon price. Just as the supply curve parallels the marginal cost curve, the demand curve parallels marginal utility, measured in ...