📚 Learning Guide
Optimal Purchase Combinations
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If a consumer is maximizing utility with a budget of $20, which combination of apples and oranges maximizes total utility given the marginal utilities and prices?

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Learning Path
Learning Path

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Choose the Best Answer

A

4 apples and 4 oranges

B

2 apples and 6 oranges

C

5 apples and 3 oranges

D

3 apples and 5 oranges

Understanding the Answer

Let's break down why this is correct

Answer

When a consumer wants to use a $20 budget to get the most pleasure, they compare the marginal benefit of each good to its price by looking at marginal utility per dollar. If an apple gives 10 extra units of satisfaction for $2, its MU per dollar is 10 ÷ 2 = 5; if an orange gives 8 units for $1, its MU per dollar is 8 ÷ 1 = 8. Because the orange gives more satisfaction for each dollar spent, the consumer buys oranges first until the MU per dollar of oranges drops below that of apples. After spending $10 on oranges, the remaining $10 would be used to buy apples, giving the highest total utility. This rule—buy the good with the highest marginal utility per dollar until the budget is exhausted—ensures the consumer maximizes total utility.

Detailed Explanation

Buying 4 apples and 4 oranges uses all $20 and gives the same utility per dollar for apples and oranges. Other options are incorrect because Choosing 2 apples and 6 oranges spends more on oranges; Picking 5 apples and 3 oranges spends too much on apples.

Key Concepts

Optimal Purchase Combinations
Marginal Utility
Consumer Choice Theory
Topic

Optimal Purchase Combinations

Difficulty

medium level question

Cognitive Level

understand

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