Question: 3. Suppose that three countries have the same technology and follow the logic of the Solow growth model. If country 1 always saves 10 percent

3. Suppose that three countries have the same technology and follow the logic of the Solow growth model. If country 1 always saves 10 percent of output (i.e s = .1), country 2 always saves 20 percent of output (i.e s = .2) and country 3 always saves 30 percent of output (i.e s = .3) then what is GDP per capita in each country in steady state? What is the marginal product of capital in steady state in each country? Additional Assumptions: Y: = F(KtaLt) = (Ktl'3(Lt)'7a Kt+1 = Kt(1 5) + It It = SF(K,L), [4+1 = Lt(1 + H) 6: 36,7120 ands: .1,s= 2,52 .3 Hint: Find the capital-labor ratio 19 that makes investment i = sFUc, 1) equal to depreciation 519. It is easy to see that y = F(k, 1) = k3 for the production function above
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