In this problem, assume that Mexico and the United States have the same aggregate production function, the same δ (value for depreciation of capital stock), and the same n . In Mexico, real GDP per worker in 2000 is about 40% what it is in the United States, but Mexico is not near its steady-state level of output.

1. If the capital-labor ratio is the same in both countries, how much capital per worker does Mexico have in 2000?

2. If the capital-labor ratio is the same in both countries, what does this model predict will be the real interest rate in Mexico?

3. Why it is not plausible to assume that Mexico and the United States have the same aggregate production function and that the capital labor ratio is the same both countries?

4. Actually, Mexico only has 40% as much capital per worker as the United States has. What does this fact imply about total factor productivity in Mexico? What about the real interest rate in Mexico?

Assume an economy has the following production function: Y=F(K,L)=K0.4L0.6
a. State the per-worker production function.
b. If the savings rate is 0.2 and the depreciation rate is 0.05, calculate the steady-statecapital stock perworker, output perworker, and consumption perworker.
c. Now suppose the government increa

Please help with the attached problems, such as:
3. Suppose that with the following time-dependent Cobb-Douglas production function ... solve for steady-state values of key variables. E.g. output per capita, capital-output ratio. (see attached image file)
4. Similar problem, with a different production function (Y = K, whi

Consider the following system in Fig.2 (see attached file). Determine the steady state error for unit ramp input. What will be the effect of B and K on steady-state error?

Suppose we have an economy described by the Solow growth model, with Cobb-Douglas production function (Y=F(K,AL) = K^α (AL)^1-α ), a capital share of 0.5; with population, labor-augmenting productivity growth, and depreciation rates given by n = 0.01 per year, x = 0.02 per year, and depreciation = 0.045 per year; and w

See the attachment for the full question.
5. (see attachment for the growth accounting equation)
Growth rates of K (capital) and N (labor) are weighted by their respective income shares, so that each input contributes an amount equal to the product of the input's growth rate and their share of income to output growth. The Î

Problem 1:
Consider the closed-loop transfer function
T(s) = 10K/(s2 + 20s + K)
1. Obtain the family of step responses for K=10, 100, and 500. Co-plot the responses and develop a table that includes the following:
a. Percent overshoot
b. Settling time
c. Steady-state error.
Figure 1
Problem 2:
A negat

Now we will solve for the steady state in a calibration of the US economy in 2000. In
this problem, you will assume that the rate of growth of the work force is n = 0.017 and
there is no exogenous technological progress. The aggregate production function for the
US economy in 2000 is Y = (11.5)K 1/3 L 2/3 . The units are bill

1. Graph the US capital-labor ratio since 1948 (use thee sum of private equipment capital and private structures capital as the measure of capital, and civilian employment as the measure of labor). Do you see evidence of convergence to a steady state during the postwar period? Now graph output perworker for the same period.