Economics (MindTap Course List)
Economics (MindTap Course List)
13th Edition
ISBN: 9781337617383
Author: Roger A. Arnold
Publisher: Cengage Learning
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Chapter 20, Problem 4WNG
To determine

Identify the maximization of utility.

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Suppose you go to Trader Joe's to buy fruit for the week. You only like apples (A) and bananas (B) and your weekly fruit budget is $11. When you arrive at Trader Joe's you notice that the price of an apple is $1.00 and the price of a banana is $0.25. QUESTION #1: How many apples and bananas should you buy? QUESTION #2: When you have found the answer, draw a diagram that shows the outcome. Step #1. Determine your preferences. Let's suppose that your preferences can be represented by the following utility function: U(A, B) = AªBß = A0.40 B0.60 FYI: This utility function is known as a Cobb-Douglas utility function. It is the most commonly used function used in economics! The reason we like it so much is that it has: 1. Constant returns (double your consumption of A and B and your utility doubles); a + B = 1 2. Diminishing marginal utility (the extra utility gained from consuming A (or B) decreases as you consume more of the A good (or B good); a 0.40); B > a. Step #2: Determine your…
Suppose you go to Trader Joe's to buy fruit for the week. You only like apples (A) and bananas (B) and your weekly fruit budget is $11. When you arrive at Trader Joe's you notice that the price of an apple is $1.00 and the price of a banana is $0.25. QUESTION #1: How many apples and bananas should you buy? QUESTION #2: When you have found the answer, draw a diagram that shows the outcome. Step #1. Determine your preferences. Let's suppose that your preferences can be represented by the following utility function: U(A, B) = AªBB = A0.40 B0.60 FYI: This utility function is known as a Cobb-Douglas utility function. It is the most commonly used function used in economics! The reason we like it so much is that it has: 1. Constant returns (double your consumption of A and B and your utility doubles); a + B = 1 2. Diminishing marginal utility (the extra utility gained from consuming A (or B) decreases as you consume more of the A good (or B good); a 0.40); B > a. Step #2: Determine your…
Imagine a pizza, with a question: How does each slice of pizza you consume impact your utility for the next?
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