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Exercises · Q10

Q.What is a budget line? Write its equation and explain how it shifts when

(a) income increases, prices remaining the same, and
(b) the price of X falls, income and the price of Y remaining the same.
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The budget line (or price line) is the locus of all combinations of two goods, X and Y, that a consumer can purchase by spending an entire given money income M at the prevailing prices Px and Py: Px.X + Py.Y = M.

Written with Y as the subject, Y = M/Py - (Px/Py)X, so the line has a Y-intercept of M/Py (all income spent on Y), an X-intercept of M/Px (all income spent on X), and a slope of -Px/Py.

(a) Income increases, prices unchanged. Both intercepts, M/Py and M/Px, rise in the same proportion as M, so the budget line shifts outward, parallel to the original line (the slope -Px/Py is unaffected since neither price changed). …

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