Please help me with these multiple choice questions. Thank you!

a) From 1991 to 2018, by how much more did output grow in Japan than in Canada?

• 10%
• 27%
• 36%
• 54%
• 66%

b) Assume a production function with constant returns to scale. The share of capital in production is 1/4 and the share of labour is 3/4. If both labour and capital grow at 1.6% and the rate of technological progress is 1.2%, what is the rate of growth of real output?

• 1.2%
• 1.6%
• 2.8%
• 3.2%
• 4.8%

c) In the neoclassical growth model, an increase in the rate of population growth will

• raise the growth rate of aggregate output
• increase the level of output per capita
• increase the steady-state capital-labour ratio
• lower the growth rate of aggregate output
• increase the level of per capita output and the growth rate of total output

d) Assume a Cobb-Douglas production function where the share of capital and labour is each 1/2. If the growth in total factor productivity is zero and labour and capital each grow by 2%, then

• output growth is 4% and the marginal product of capital is Y/K
• output growth is 2% and the marginal product of capital is Y/(2K)
• output growth is 2% and the marginal product of labour is (2Y)/L
• output growth is 1% and the marginal product of labour is Y/(2L)
• output growth is 1% and the marginal product of capital is (2Y)/K

e) For the Canadian economy, we can assume that

• output grows at the same rate as both capital and labour
• capital is a larger source of growth than labour
• labour is a larger source of growth than capital
• capital and labour both contribute equally to output growth
• labour force grows faster than the capital stock

f) An economy with a capital-labour ratio that is lower than the steady-state level can achieve a steady-state equilibrium at this lower capital-labour ratio only if

• the savings rate decreases
• the rate of depreciation decreases
• the rate of population growth decreases
• technological advances are made
• all of these options are possible

g) Assume a neoclassical growth model with constant returns to scale. Which of the following statements is TRUE?

• a declining population growth rate will increase per-capita income
• an increase in the savings rate will permanently increase the growth rate of output
• an increase in the depreciation rate will increase the capital-labour ratio
• technological advances will have no effect on the long-run growth rate of output
• all of these statements are true

h) The idea of a steady state is that

• the capital-labour ratio grows at a constant rate
• output per capita grows at a constant rate
• output, capital, and labour all grow at the same rate
• an increase in the savings rate will not affect the capital-labour ratio
• real output cannot grow

i) Assume a Cobb-Douglas production function where the share of labour is 0.7 and the share of capital is 0.3. If there is no technological progress, labour grows at 2%, and capital grows at 1.5%, then real output will grow by

• 0.45%
• 1.50%
• 1.85%
• 2.85%
• 3.05%

j) For a neoclassical growth model, which of the following statements is FALSE?

• an increase in the savings rate will increase the steady-state growth rate of aggregate output
• an increase in population growth will increase the steady-state growth rate of aggregate output
• an increase in population growth will reduce the steady-state level of income per capita
• if poor countries save at the same rate as rich countries and have access to the same technology, they will eventually catch up
• long-run growth results from improvements in technology

Thank you so much for your help!