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Malthusian Production Function
Y = zF(L, N)
Population and Per-Capita Consumption Growth Relationship
N’/N = g(C/N)
Malthusian Per Worker Production Function
y = zf(l)
Output Per Worker
Y/N
Land Per Worker
L/N
Consumption Per Worker
C/N
Malthusian Equilibrium Condition
zf(l) = c
Consumption-Savings Behavior
C = (1 − s)Y
Per Worker Production Function
y = zf(k)
Investment to Savings Relationship
I = sY
Steady-State Quantity of Capital Per Worker
k’ = [szf(k)]/(1 + n) + [(1 - d)k]/(1 - n)
Solow Growth Distribution Of Income
Yi = MPKNi + MPNNi
Capital Share Of National Income
CAPS = kMPK / zf(k)
Cobb-Douglas Production Function
Y = szF(K, N) = zK𝛼N(1-𝛼)
Solow Residual Formula
z = Y / 𝑘𝛼𝑁(1−𝛼)