Sa = -5000 and mpc or c = 0.8 Formulate the consumption function & interpret the function. Formulate the savings function & interpret the function.
Sa = -5000 and mpc or c = 0.8 Formulate the consumption function & interpret the function. Formulate the savings function & interpret the function.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![**Text Transcription for Educational Website:**
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Given data:
\( Sa = -5000 \) and \( mpc \) or \( c = 0.8 \)
**Tasks:**
1. **Formulate the Consumption Function & Interpret the Function:**
The consumption function can be represented as:
\[ C = Ca + (MPC \times Yd) \]
Where:
- \( C \) is the total consumption.
- \( Ca \) is the autonomous consumption (-5000 in this case).
- \( MPC \) is the marginal propensity to consume (0.8).
- \( Yd \) is disposable income.
**Interpretation:** This function indicates that consumption begins at -5000 (autonomous consumption) and increases by 0.8 units for every additional unit of disposable income. This suggests that, even with zero disposable income, consumption starts at a negative value due to prior debts or consumption financed by credit.
2. **Formulate the Savings Function & Interpret the Function:**
The savings function can be represented as:
\[ S = Sa + (MPS \times Yd) \]
Where:
- \( S \) is the total savings.
- \( Sa \) is the autonomous saving (-5000, indicating dissaving).
- \( MPS \) is the marginal propensity to save, calculated as \( 1 - MPC = 0.2 \).
- \( Yd \) is disposable income.
**Interpretation:** This function shows that saving starts at -5000, indicating dissaving at zero income, and increases by 0.2 units for every additional unit of disposable income. This reflects how, initially, savings are negative, potentially due to initial consumption needs surpassing income.
---
Graphs and Diagrams: There are no graphs or diagrams in this image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed32e5c4-0f4b-4bca-9085-b29c38114683%2Fe5a2c017-e82f-4fe8-8eae-a30110e23f54%2Foc0wfi2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Text Transcription for Educational Website:**
---
Given data:
\( Sa = -5000 \) and \( mpc \) or \( c = 0.8 \)
**Tasks:**
1. **Formulate the Consumption Function & Interpret the Function:**
The consumption function can be represented as:
\[ C = Ca + (MPC \times Yd) \]
Where:
- \( C \) is the total consumption.
- \( Ca \) is the autonomous consumption (-5000 in this case).
- \( MPC \) is the marginal propensity to consume (0.8).
- \( Yd \) is disposable income.
**Interpretation:** This function indicates that consumption begins at -5000 (autonomous consumption) and increases by 0.8 units for every additional unit of disposable income. This suggests that, even with zero disposable income, consumption starts at a negative value due to prior debts or consumption financed by credit.
2. **Formulate the Savings Function & Interpret the Function:**
The savings function can be represented as:
\[ S = Sa + (MPS \times Yd) \]
Where:
- \( S \) is the total savings.
- \( Sa \) is the autonomous saving (-5000, indicating dissaving).
- \( MPS \) is the marginal propensity to save, calculated as \( 1 - MPC = 0.2 \).
- \( Yd \) is disposable income.
**Interpretation:** This function shows that saving starts at -5000, indicating dissaving at zero income, and increases by 0.2 units for every additional unit of disposable income. This reflects how, initially, savings are negative, potentially due to initial consumption needs surpassing income.
---
Graphs and Diagrams: There are no graphs or diagrams in this image.
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