Question

In: Economics

Harvey sells two goods - cars (Good X) and chairs (Good Y). Illustrate and explain using...

Harvey sells two goods - cars (Good X) and chairs (Good Y). Illustrate and explain using budget lines and indifference curves the income effect and substitution effect when the prices of cars increase

Solutions

Expert Solution

In following graph, AB is the initial budget line and IC0 is the initial indifference curve which is tangent to AB at point E with initial optimal bundle being (X0, Y0). When price of X increases, budget line rotates inward along horizontal (X) axis to AC. IC1 is the new (lower) indifference curve which is tangent to AC at point G with new optimal bundle being (X1, Y1).

To find substitution effect, a line MN is drawn parallel to AC. Initial indifference curve IC0 is tangent to MN at point F with decomposition bundle being (X2, Y2). In this case,

Total effect (TE) of price change = Movement from E to G

TE for good X = X1 - X0 (< 0)

TE for good Y = Y1 - Y0 (> 0)

Substitution effect (SE) of price change = Movement from E to F

SE for good X = X2 - X0 (< 0)

SE for good Y = Y2 - Y0 (> 0)

Income effect (IE) of price change = Movement from F to G

IE for good X = X1 - X2 (< 0)

IE for good Y = Y1 - Y2 (< 0)


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