Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![**Consumption Equation and Multiplier Calculation**
In this exercise, we are given the following equation to describe the consumption function:
\[ C = 20 + 0.9Y \]
Where:
- \( C \) represents Consumption
- \( Y \) is disposable income, which is given as $800 billion
**Question:**
What is the Multiplier?
**Options:**
a) 90
b) 0.1
c) 10
d) 20
**Explanation:**
- To find the multiplier in macroeconomics, we use the formula:
\[ \text{Multiplier} = \frac{1}{1 - \text{MPC}} \]
where MPC is the marginal propensity to consume. Here, the MPC is 0.9 (from the equation \( 0.9Y \)).
- Using the formula:
\[ \text{Multiplier} = \frac{1}{1 - 0.9} = \frac{1}{0.1} = 10 \]
Therefore, the correct answer is option c) 10.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faabe5e92-f54f-4219-9757-c31c4b1b247a%2Fce63e948-04f2-4b1c-bcce-83729498acd7%2Fj2idbiw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Consumption Equation and Multiplier Calculation**
In this exercise, we are given the following equation to describe the consumption function:
\[ C = 20 + 0.9Y \]
Where:
- \( C \) represents Consumption
- \( Y \) is disposable income, which is given as $800 billion
**Question:**
What is the Multiplier?
**Options:**
a) 90
b) 0.1
c) 10
d) 20
**Explanation:**
- To find the multiplier in macroeconomics, we use the formula:
\[ \text{Multiplier} = \frac{1}{1 - \text{MPC}} \]
where MPC is the marginal propensity to consume. Here, the MPC is 0.9 (from the equation \( 0.9Y \)).
- Using the formula:
\[ \text{Multiplier} = \frac{1}{1 - 0.9} = \frac{1}{0.1} = 10 \]
Therefore, the correct answer is option c) 10.
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