6. Suppose that the long run aggregate production function can be written as Y = A*F(K,...
d. Assume that the aggregate production function is given by: where Y is aggregate output, K is capital, L is the number of workers in the economy and E is the state of technology. Further assume that capital depreciates at a rate of δ, the rate of technological progress is g, the population is growing at a rate of n and the saving rate is s. I5 marks] i. Determine the scale of production? Suppose capital is increased by a...
5. Suppose that aggregate demand (AD-C+I+G) can be described by the following equations. C = 500+ 0.8 (Y-T) 1 = 100+ 0.01"Y G-40 (22 total points) b) Suppose that businesses began to be more pessimistic about the future so started to decrease investment in new plant and equipment. Show how this would affect the graph in part a. (4 points) Note how it would change equilibrium national income. (4 points) (No need to provide specific numbers for either----just show the...
Problem #3: Long-Run Labor Dernand and Factor Substitutability Suppose there are two inputs in the production function, labor (L) and capital (K), which can be combined to produe Y units of output according to the following production function Y = 30K + 10L The firm wants to produce 600 units of output 1. Draw the ot that corresponds to that level of production (600 units) in a graph that has L on the horizontal axis and K on the vertical...
If the short-run aggregate supply decreases by more than the long-run aggregate supply, then, at the short-run equilibrium, a) Output will be equal to its natural level. b) Output will be above its natural level. O c) Unemployment will be equal to the natural rate of unemployment. d) Output will be below its natural level. Facebl» wides anಂಕು Suppose the economy is at point C. If investment spending decreases in the economy, where will the eventual long-run equilibrium be? a)...
Econ 202 Problems Chapter 12 – Long-run economic growth 1. The production function of an economy is: Y= A * K0,3 * H0.7 a. What is real output when K = 10, H = 40 and A = 5? (2 point) b. Does this production function exhibit diminishing marginal productivity of capital? Calculate MPK if K increases from 10 to 20 and from 20 to 30, keeping H and A constant. Assume H = 70, A = 4. (5 points)...
1. Suppose that I give you an aggregate production function: Y = AK^(1/2)N^(1/2) a) Suppose that A = 1 and K = 4. Derive the labour demand curve. b) If the labour supply curve is: w = (1 − t) √ N^s Solve for the equilibrium real wage and full employment level of employment when t = 0.75. What is the full employment level of output? c) Suppose that A(prime aka future) = 1/2 temporarily. K is unchanged and the...
4. Suppose that the aggregate level of spending on consumer goods in an economy can be represented by the following equation: C = a + b* (Y-T) = 500 + 0.7*(Y-T) where 0.7 is the marginal propensity to consume (i.e. how much of each new dollar of income is spent on consumer goods) or “b”, Y is national income (or GDP) and T is the tax burden on consumers. (29 points total) a) Total nominal income is $200 billion while...
Consider an economy described by the production function: Y = F(K, L) = (0.25 0.75 a. What is the per-worker production function? y= b. Assuming no population growth or technological progress, find the steady-state capital stock per worker (k*), output per worker (y*), and consumption per worker (c*) as a function of the saving rate and the depreciation rate. k* = y* =
1. Suppose the production of digital cameras is characterized by the production function q F(K, L)- KL (MPL = K, MPK = L), where q represents the number of digital cameras produced. Suppose that the price of labor is $10 per unit and the price of capital is S1 per unit. (a) Graph the isoquant for q-121 000. (b) On the graph you drew for part a), draw several isocost lines including one that is tangent to the isoquant you...
Suppose that the aggregate production is given by , where Y is real GDP, K is the total capital stock and L is the (constant) labour force. Assume that aggregate investment is equal to aggregate savings and that the depreciation rate is 0.05, hence the total capital stock evolves according to K=sY − 0.05K, where s is the savings rate. 1) Under the stated assumptions for this question, what is the steady-state level of capital per worker when the saving...