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CS408 - Human Computer Interaction

Question(s) similar to the following:

If y = Y / L, where, Y = Total GDP, L = Population, y = Per capita GDP then prove that Growth rate of per capita income = Growth rate of total output - Growth rate of population

Question 1: If y = Y / L, where, Y = Total GDP, L = Population, y = Per capita GDP then prove that Growth rate of per capita income = Growth rate of total output - Growth rate of population

Answer: Suggest Edit

y = Y / L
Where,
Y = Total GDP
L = Population
y = Per capita GDP
Taking log of both sides
ln y = ln Y - ln L
Taking derivative w.r.t. time
1/y (dy/dt) = (dY/dt)/Y - (dL/dt)/L
gy = gY - gL
Growth rate of per capita income = Growth rate of total output - Growth rate of population

Similar Questions:

Question 2: If y = Y / L, where, Y = Total GDP, L = Population, y = Per capita GDP then prove that Growth rate of per capita income = Growth rate of total output - Growth rate of population

Answer: Suggest Edit

y = Y / L
Where,
Y = Total GDP
L = Population
y = Per capita GDP
Taking log of both sides
ln y = ln Y - ln L
Taking derivative w.r.t. time
1/y (dy/dt) = (dY/dt)/Y - (dL/dt)/L
gy = gY - gL
Growth rate of per capita income = Growth rate of total output - Growth rate of population
Past Papers of CS408 - Human Computer Interaction
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