📚 Learning Guide
Optimal Purchase Combinations
hard

In a scenario where a consumer faces a budget constraint of $60 to spend on goods X and Y, with good X priced at $12 and good Y at $4, how would an increase in the price of good X to $15 affect the consumer's optimal consumption choices, assuming their preferences are represented by indifference curves?

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Choose the Best Answer

A

The consumer will likely consume more of good Y and less of good X.

B

The consumer will continue to buy the same quantities of both goods.

C

The consumer will buy more of good X despite the price increase.

D

The consumer will purchase less of both goods.

Understanding the Answer

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Answer

When the price of good X rises from $12 to $15, the budget line pivots inward, cutting off some of the previous affordable combinations. The consumer’s indifference curves show that, before the price change, they were able to buy a bundle where the marginal utility per dollar spent on X equaled that of Y; now the higher price makes X more expensive per unit of utility. Consequently the consumer will shift to a bundle with fewer units of X and more of Y, staying on the same indifference curve but at a point where the slope of the indifference curve equals the new price ratio of 15/4. For example, if the consumer originally chose 3 units of X and 7. 5 units of Y (cost $60), after the price hike they might choose 2 units of X and 9.

Detailed Explanation

When the price of good X rises from $12 to $15, the consumer can buy less X for the same $60. Other options are incorrect because Some think the amount of each good stays the same after a price rise; Some believe a price hike will make the good more desirable.

Key Concepts

Indifference Curves
Budget Constraints
Price Elasticity of Demand
Topic

Optimal Purchase Combinations

Difficulty

hard level question

Cognitive Level

understand

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