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4 units of Y) occur at point B. Here, MRS PX/PY2. No change in pur-
chases could increase the consumer’s welfare.

Demand Curves


The demand curve graphs the relationship between a good’s price and the
quantity demanded, holding all other factors constant. Consider the con-
sumer’s purchase of good X as its price is varied (holding income and the price
of Y constant). What if the price falls from $4 per unit to $2 per unit to $1 per
unit? Figure 3A.4 shows the effect of these price changes on the consumer’s
budget line. As the price falls from $4 to $2, the budget line flattens and piv-
ots around its vertical intercept. (Note that, with the price of Y unchanged, the
maximum amount of Y the consumer can purchase remains the same.) The
figure shows the new budget lines and new points of optimal consumption at
the lower prices.
As one would expect, reduction in price brings forth greater purchases
of good X and increases the consumer’s welfare (i.e., she moves to higher

126 Appendix to Chapter 3 Consumer Preferences and Demand

FIGURE 3A.4
The Price-
Consumption Curve

The price-consumption
curve shows that the
consumer’s demand for
X increases as its price
falls.

Quantity of Good Y

Quantity of Good X

Px = $4 Px = $2

Px = $1

Price-consumption
curve

c03DemandAnalysisAndOptimalPricing.qxd 8/18/11 6:48 PM Page 126

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