Suppose the price ofA is $20 and the price ofB is $10 and that goodA is plotted on the horizontal axis.If the price ofA doubles and the price ofB triples, leaving the consumer’s income unchanged, the budgetlineA) will become steeper.B) will become flatter.C) will shift in toward the origin.D) will shift out from the origin
Question
Suppose the price ofA is 10 and that goodA is plotted on the horizontal axis.If the price ofA doubles and the price ofB triples, leaving the consumer’s income unchanged, the budgetlineA) will become steeper.B) will become flatter.C) will shift in toward the origin.D) will shift out from the origin
Solution
The budget line will become steeper.
Here's why:
The slope of the budget line is determined by the ratio of the prices of the two goods. Initially, the slope is -Price B/Price A = -20 = -0.5.
When the price of A doubles and the price of B triples, the new slope becomes -Price B/Price A = -40 = -0.75.
Since the slope of the budget line has become more negative (from -0.5 to -0.75), this means that the budget line has become steeper.
Therefore, the correct answer is A) will become steeper.
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