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Equilibrium Output Formula in the Simplified Model
The final equation for equilibrium output (Y) is derived by isolating Y. The formula is . This equation demonstrates that the equilibrium level of output is determined by two key factors: the multiplier, represented by the term , and the total autonomous spending, .
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Introduction to Macroeconomics Course
Ch.3 Aggregate demand and the multiplier model - The Economy 2.0 Macroeconomics @ CORE Econ
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Equilibrium Output Formula in the Simplified Model
An economics student is solving for the equilibrium level of output (Y) and has correctly derived the following equation: Y(1 - 0.6) = 2000. To isolate Y, the student proposes multiplying both sides of the equation by (1 - 0.6). Which of the following best evaluates the student's proposed next step?
Final Step in Calculating Equilibrium Output
An analyst has simplified an economic model to the equation
Y(1 - 0.9) = 5000, where Y is the equilibrium output. Which of the following expressions correctly shows the final calculation needed to solve for Y?Given the equation
Y(1 - 0.75) = 3000, where Y is the total economic output, the final step to solve for Y is to divide 3000 by the expression ____.Error Analysis in an Economic Calculation
Justifying the Final Step in an Economic Calculation
To solve for the equilibrium output (Y) from the equation
Y(1 - 0.8) = 1500, the correct final step is to multiply both sides of the equation by the term(1 - 0.8).Evaluating Algebraic Methods for Economic Equilibrium
An economist is solving for the equilibrium output (Y) in a simple model where total output equals total spending. The initial equation is
Y = 100 + 0.75Y + 500. Arrange the following algebraic steps in the correct logical sequence to find the value of Y.For each equation where the variable 'Y' needs to be isolated, match it with the correct final algebraic operation required to solve for Y.
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Example Calculation of Equilibrium Output
Equilibrium Output Equation using the Multiplier (k)
In a simplified economic model, the equilibrium level of output (Y) is determined by the equation Y = [1 / (1 - c₁)] * (c₀ + I), where c₀ is autonomous consumption, I is autonomous investment, and c₁ is the marginal propensity to consume (0 < c₁ < 1). If autonomous investment (I) increases by $100 million, how will this affect the equilibrium output (Y)?
Analysis of Economic Multipliers
Analyzing the Multiplier Effect in the Equilibrium Formula
In a simplified economic model where total output is determined by the equation
Y = [1 / (1 - c₁)] * (c₀ + I), match each mathematical component of the formula to its corresponding economic interpretation.In an economic model where equilibrium output (Y) is determined by the formula Y = [1 / (1 - c₁)] * (c₀ + I), a higher value for the marginal propensity to consume (c₁) will lead to a lower equilibrium level of output (Y), assuming all other factors (c₀ and I) remain constant and 0 < c₁ < 1.
In a closed economy with no government sector, autonomous consumption (
c₀) is $200 billion, autonomous investment (I) is $300 billion, and the marginal propensity to consume (c₁) is 0.8. Based on the standard equilibrium model, the equilibrium level of output (Y) is $____ billion.Critiquing Policy Advice Based on the Equilibrium Model
An economy is in a state of equilibrium. A firm then decides to increase its autonomous investment spending by $50 million. Arrange the following events to describe the sequence through which the economy adjusts to a new, higher level of equilibrium output.
Policy Target Feasibility Analysis
Determining Required Investment for an Output Target