Suppose that the per-worker production function y = f(k) = k0.5, that the saving rate is s = 0.2, and that the depreciation rate is δ = 0.02. If k = 49, then the capital stock per worker will:be impossible to compute given then information available.remain the same.decrease.increase.

Suppose an economy has this production equation Y=F(K, L)=K0.4L0.6. The saving rate is 0.2, the depreciation rate is 0.05. Calculate the capital per worker, output per worker, and consumption per worker at a steady state. (Please keep two decimal places.)

The per-effective worker Cobb-Douglas production function for a country described by the Solow growth model with population growth and technological progress is . Assume the saving rate (s) is 10%, the depreciation rate (δ) is 15%, the population growth rate (n) is 2%, and the rate of technological progress (g) is 3%.Based on the above information, answer the following questions.a. The steady-state level of capital per effective worker is

Assume that the production function in the Solow model is Y = K1/2L1/2, with 30% of output being saved, 10% of the capital stock depreciating every year, and the economy starting off with 4 units of capital per worker. Which of the following is true:

If an economy's investment (I) is $800, depreciation (δ) is $150, and its savings (S) is $600, what is the change in the capital stock (ΔK) over a period?A.$150B.$250C.$450D.$650

If the capital stock per worker is greater than the steady-state capital stock per worker, then the change in capital is:positive; consumption decreases over time, and so does investment.positive; consumption increases over time, and so does output.negative; investment increases over time, but depreciation increases.negative; consumption decreases over time, and so does output.