32/ Assume that a consumer has a given budget or income of $24 and that she can buy only two goods, apples or bananas. The price of an apple is $3.00 and the price of a banana is $2.00. What is the slope of the budget line if the quantity of apples were measured on the horizontal axis and bananas on the vertical axis?
32/ Assume that a consumer has a given budget or income of $24 and that she can buy only two goods, apples or bananas. The price of an apple is $3.00 and the price of a banana is $2.00. What is the slope of the budget line if the quantity of apples were measured on the horizontal axis and bananas on the vertical axis?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![**Consumer Budget Analysis**
Assume that a consumer has a given budget or income of $24 and that she can buy only two goods, apples or bananas. The price of an apple is $3.00 and the price of a banana is $2.00. What is the slope of the budget line if the quantity of apples were measured on the horizontal axis and bananas on the vertical axis?
---
**Explanation:**
To find the slope of the budget line, we use the formula for the slope in terms of opportunity cost. The slope is determined by the ratio of the prices of the two goods:
\[
\text{Slope} = -\frac{\text{Price of Apples}}{\text{Price of Bananas}} = -\frac{3}{2}
\]
This indicates that for every additional apple purchased, the consumer has to give up 1.5 bananas, reflecting the trade-off between the two goods given the consumer’s budget.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65a8e990-5360-43af-b3a8-27c1c40fb79a%2Ff74a9d12-3916-495e-8a15-bda6713fd123%2F9777sl_processed.png&w=3840&q=75)
Transcribed Image Text:**Consumer Budget Analysis**
Assume that a consumer has a given budget or income of $24 and that she can buy only two goods, apples or bananas. The price of an apple is $3.00 and the price of a banana is $2.00. What is the slope of the budget line if the quantity of apples were measured on the horizontal axis and bananas on the vertical axis?
---
**Explanation:**
To find the slope of the budget line, we use the formula for the slope in terms of opportunity cost. The slope is determined by the ratio of the prices of the two goods:
\[
\text{Slope} = -\frac{\text{Price of Apples}}{\text{Price of Bananas}} = -\frac{3}{2}
\]
This indicates that for every additional apple purchased, the consumer has to give up 1.5 bananas, reflecting the trade-off between the two goods given the consumer’s budget.
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