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A demand curve is a graph depicting the inverse demand function, [1] ... They are "merely lumped into intercept term of a simple linear demand function." [14] ...
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 ...
The intercept of the curve and the vertical axis is represented by a, meaning the price when no quantity demanded. and b is the slope of the demand function. If the demand function has the form like that, then the Total Revenue should equal quantity demanded times the price of the good, which can be represented by: TR= q*p = q(a-bq).
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.
In some cases, there is a unique utility-maximizing bundle for each price and income situation; then, (,) is a function and it is called the Marshallian demand function. If the consumer has strictly convex preferences and the prices of all goods are strictly positive, then there is a unique utility-maximizing bundle.
A change in demand is indicated by a shift in the demand curve. Quantity demanded, on the other hand refers to a specific point on the demand curve which corresponds to a specific price. A change in quantity demanded therefore refers to a movement along the existing demand curve. However, there are some exceptions to the law of demand.
The consumer has a utility function, from which his demand curves can be calculated. Then, it is possible to predict the behavior of the consumer in certain conditions, price or income changes. But in reality, there are many different consumers, each with his own utility function and demand curve.
A common and specific example is the supply-and-demand graph shown at right. This graph shows supply and demand as opposing curves, and the intersection between those curves determines the equilibrium price. An alteration of either supply or demand is shown by displacing the curve to either the left (a decrease in quantity demanded or supplied ...