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

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The discussion revolves around a national income model defined by the equations Y = C + I, C = aYd + 50, I = 24, and Yd = Y - T with T = 20. Participants seek clarification on the equations and the symbols used, particularly the representation of national income. The goal is to demonstrate that the equilibrium level of national income can be expressed as Y = 741 - 20a. Additionally, the discussion includes finding the value of 'a' when Y = 155 and subsequently calculating the value of C. Clear definitions of each symbol are requested to enhance understanding of the model.
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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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