Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:**Title: Solving for Equilibrium in Economic Equations**
**Date:** 4/3/23
**Problem Statement:**
Given the following set of equations, calculate the value of \( G \) at equilibrium:
1. \( C = 220 + 0.76YD \)
2. \( F = 440 \)
3. \( G = 270 - 0.05X \)
4. \( X = 530 \)
5. \( M = 535 \)
6. \( T = 44 + 0.12Y \)
**Task:**
Determine the equilibrium value of \( G \).
**Explanation:**
- **Equation (1):** The consumption function, where \( C \) is consumption and \( YD \) is disposable income.
- **Equation (2):** A constant term representing a fixed variable \( F \).
- **Equation (3):** An expression for \( G \), where \( G \) depends negatively on \( X \).
- **Equation (4):** A given value for \( X \).
- **Equation (5):** A given value for \( M \) (potentially imports or another economic measure).
- **Equation (6):** An expression for taxes \( T \), where \( Y \) is income.
To find the value of \( G \) at equilibrium, substitute the given value of \( X \) into Equation (3).
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