Solution:
a.). When there is a price increase of Y on the budget line when the price of X and income are constant, the budget line will rotate inward by shifting to the left to the new position BL1 since consumers will purchase less of good Y.
This is depicted by the below graph:
b.). When there is a price decrease of Y on the budget line when the price of X and income are constant, the budget line will rotate outward by shifting to the right to the new position BL2 since consumers will purchase more of good Y.
This is depicted by the below graph:
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