Using carefully-labeled graphs, explain how an individual demand curve is derived from the utility-maximizing behavior of a consumer.

What will be an ideal response?


Refer to Figure 5.8. The left panel of Figure 5.8 represents the utility-maximizing behavior of a consumer. When income is M, the price of good Y is Py1 and the price of good X is Px1, the consumer's budget constraint is represented by the budget line labeled L1. The consumer maximizes their utility by choosing the bundle labeled a, where indifference curve U1 is tangent to budget line L1. Therefore, at a price of Px1, the consumer chooses to consumer X1 units of good X. This price and quantity combination is represented by point a in the right-hand panel of Figure 5.8. Now suppose the price of good X falls to Px2, causing the budget line to rotate out to L2. The consumer now maximizes their utility at point b, where indifference curve U2 is tangent to the new budget line L2. At point b, the consumer chooses to consume X2 units of good X. The price and quantity combination Px2 and X2 is represented by point b in the right-hand panel of Figure 5.8. Connecting the price and quantity combinations a and b in the right-hand graph gives the individual demand curve for good X.



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