****Figure 9****

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****Figure 10****

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****Figure 11****

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Indifference curves and budget constraints


Using indifference curves and an assumption of constant prices and a fixed income in a two good world will give the following diagram. The consumer can choose any point on or below the budget constraint line BC. This line is diagonal since it comes from the equation xp x + yp y < income. In other words, the amount spent on both goods together is less than or equal to the income of the consumer. The consumer will choose the indifference curve with the highest utility that is within the budget constraint. I3 has all the points outside of their budget constraint so the best that the consumer can do is I2. This will result in them purchasing X* of good X and Y* of good Y.

Income effect and price effect deal with how the change in price of a commodity changes the consumption of the good. The theory of consumer choice examines the trade-offs and decisions people make in their role as consumers as prices and their income changes.

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****Figure 12****

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Price effects

These curves can be used to predict the effect of changes to the budget constraint. The graphic below shows the effect of a price shift for good y. If the price of Y increases, the budget constraint will shift from BC2 to BC1. Notice that since the price of X does not change, the consumer can still buy the same amount of X if they choose to buy only good X. On the other hand, if they choose to buy only good Y, they will be able to buy less of good Y since its price has increased.

To maximize the utility with the reduced budget constraint, BC1, the consumer will re-allocate consumption to reach the highest available indifference curve which BC1 is tangent to. As shown on the diagram below, that curve is I1, and therefore the amount of good Y bought will shift from Y2 to Y1, and the amount of good X bought to shift from X2 to X1. The opposite effect will occur if the price of Y decreases causing the shift from BC2 to BC3, and I2 to I3.

If these curves are plotted for many different prices of good Y, a demand curve for good Y can be constructed. The diagram below shows the demand curve for good Y as its price varies. Alternatively, if the price for good Y is fixed and the price for good X is varied, a demand curve for good X can be constructed.

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****Figure 13****

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****Figure 14****

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Income effect

Another important item that can change is the income of the consumer. As long as the prices remain constant, changing the income will create a parallel shift of the budget constraint. Increasing the income will shift the budget constraint right since more of both can be bought, and decreasing income will shift it left.

Depending on the indifference curves the amount of a good bought can either increase, decrease or stay the same when income increases. In the diagram below, good Y is a normal good since the amount purchased increased as the budget constraint shifted from BC1 to the higher income BC2. Good X is an inferior good since the amount bought decreased as the income increases.

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****Figure 15****

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