Possible title: Solving for Equilibrium National Income in a Simple Model

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The equilibrium national income model is defined by the equation Y = C + I, where C = aYd + 50 and I = 24. The disposable income Yd is calculated as Y - T, with T set at 20. The equilibrium level of national income is expressed as Y = 741 - 20a. By transposing this equation, one can derive the value of 'a' for a given national income, such as Y = 155, which allows for the calculation of consumption (C).

PREREQUISITES
  • Understanding of national income accounting
  • Familiarity with algebraic manipulation of equations
  • Knowledge of disposable income calculations
  • Basic economic principles related to consumption and investment
NEXT STEPS
  • Study the derivation of equilibrium income in macroeconomic models
  • Learn about the impact of taxes on disposable income and consumption
  • Explore the relationship between consumption function and national income
  • Investigate the effects of changes in 'a' on equilibrium national income
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Economics students, macroeconomic analysts, and anyone involved in national income modeling and analysis.

smileylou
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4) Consider the national income model
Y =C +I
C = aYd + 50
I = 24
1
Yd = Y T
T = 20
Show that the equilibrium level of national income is given by
Y = 741 20aa
Transpose this equation to express a in terms of Y . Hence, or otherwise, …find the value of a
for which Y = 155 and …find the value of C:
 
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smileylou said:
4) Consider the national income model
Y =C +I
C = aYd + 50
I = 24
1
Yd = Y T
T = 20
Show that the equilibrium level of national income is given by
Y = 741 20aa
Transpose this equation to express a in terms of Y . Hence, or otherwise, …find the value of a
for which Y = 155 and …find the value of C:

Hi smileylou,

Your equations aren't very clear to me. Are they,

\[Y=C+I\]

\[C= aY_d+50\]

\[I = 24\]

\[Y_d = 20Y\]

Also could you define each symbol? For example what symbol represent the national income?
 

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