Homework Answers
Add Answer to:
10. (15 pts) Given the production function f(x,y) = 30x2/3 y 1/3 with x units of...
19. The product function for a company is given by f(x, y) 100x0.2 у0.7 , where x is the number of units of labor (at $48 per unit) and y is the number of units of capital (at $36 per unit). When the...
19. The product function for a company is given by f(x, y) 100x0.2 у0.7 , where x is the number of units of labor (at $48 per unit) and y is the number of units of capital (at $36 per unit). When the total cost of S100,000 is available for labor and capital, the maximum production level for this company is 147,314 units and the marginal productivity of money is .47314 a. Find the maximum number of units that can...
9) A company that manufactures computers have determined that its production function is given by Pr,y) 500x +800y...
9) A company that manufactures computers have determined that its production function is given by Pr,y) 500x +800y +3x2ywhere x is the size of the labor force (measured in work-hours per week) and y is the amount of capital (measured in units of $1000) invested. a) Find and interpret P(50, 20) b) Find the Marginal Productivity of Labor when x-40 and y-10 and interpret the results
9) A company that manufactures computers have determined that its production function is given...
Consider the production function given by y = f(L,K) = L^(1/2) K^(1/3) , where y is...
Consider the production function given by y = f(L,K) = L^(1/2) K^(1/3) , where y is the output, L is the labour input, and K is the capital input. (a) Does this exhibit constant, increasing, or decreasing returns to scale? (b) Suppose that the firm employs 9 units of capital, and in the short-run, it cannot change this amount. Then what is the short-run production function? (c) Determine whether the short-run production function exhibits diminishing marginal product of labour. (d)...
Question 1. (15 pts) Given f(x, y) = 3x 2 + y 3 . (a) Find...
Question 1. (15 pts) Given f(x,
y) = 3x 2 + y 3 . (a) Find the gradient of f. (b) Find the
directional derivative of f at P0 = (3, 2) in the direction of u =
(5/13)i + (12/13)j.
Question 1. (15 pts) Given f(L,y) = 3x2 +y?. (a) Find the gradient of f. (b) Find the directional derivative off at P =(3,2) in the direction of u=(5/13)i + (12/13)j.
Question 4 a) For the production function f(L,K)= L13K2/3, find the long run cost function, marginal...
Question 4 a) For the production function f(L,K)= L13K2/3, find the long run cost function, marginal cost function and average cost function. (20 points) b) For the same production function above, find the short run variable cost function and total cost function when capital is fixed at 500 units. (10 Points) Question 5 Suppose inputs can be perfectly substituted at a constant rate of two units of labor for every one unit of capital, while producing the same level of...
2. (15 pts). Assume that the per-worker production function is y, 5.k Further, assume that the...
2. (15 pts). Assume that the per-worker production function is y, 5.k Further, assume that the saving rate, s = 0.2, the depreciation rate, 8 0.04, and the population growth rate, n- 0. Calculate the following: (a) The steady-state values of the capital-labor ratio, k", output per worker, y, and consumption, c'. (b) The new steady-state values of the capital-labor ratio, output, and consumption (k, yi, and ci), if there is population growth so that n: 0.06. (c) Show your...
Question 5 (1 point) the production function is given by F(L) = 6L2/3. Suppose that the...
Question 5 (1 point) the production function is given by F(L) = 6L2/3. Suppose that the cost per unit of labor is $12 and the price of output is 12, how many units of labor will the firm hire? Question 5 options: 32 192 64 128 None of the above. Question 6 (1 point) A firm has the production function f(X, Y) = X3/4Y1/4, where X is the amount of factor x used and Y is the amount of factor...
The Cobb-Douglas production function for a product is N(x,y) = 10(x^0.8)(y^0.2) where x is the number...
The Cobb-Douglas production function for a product is N(x,y) = 10(x^0.8)(y^0.2) where x is the number of units of labor and y is the number of units of capital required to produce N units of the product. What is the marginal productivity of labor and the marginal productivity of capital? What are they when there are 40 units of labor and 50 units of capital? Nx(x,y) = Nx(40, 50) = Ny(x,y) = Ny(40, 50) = If each unit of labor...
3. (15 pts). Assume that the per-worker production function is yr = 20 k'. Further, assume...
3. (15 pts). Assume that the per-worker production function is yr = 20 k'. Further, assume that the saving rate, s = 0.1, the depreciation rate, = 0.125, and the population growth rate, n= 0. Calculate the following: (a) The steady-state values of the capital-labor ratio, k", output per worker, y, and consumption, c. (b) The new steady-state values of the capital-labor ratio, output, and consumption (ki. Yi, and ci) if there is a technological progress and A increases from...
1. (10 pts). Assume that the per-worker production function is y, = 10.k'. Further, assume that...
1. (10 pts). Assume that the per-worker production function is y, = 10.k'. Further, assume that the saving rate, s = 0.2, the depreciation rate, 8 = 0.4, and the population growth rate, n= 0. Calculate the following: (a) The steady-state values of the capital-labor ratio, k*, output per worker, y, and consumption, c. (b) The new steady-state values of the capital-labor ratio, output, and consumption (ki, yi, and Ci), if there is an increase in the saving rate, so...
19. The product function for a company is given by f(x, y) 100x0.2 у0.7 , where x is the number of units of labor (at $48 per unit) and y is the number of units of capital (at $36 per unit). When the total cost of S100,000 is available for labor and capital, the maximum production level for this company is 147,314 units and the marginal productivity of money is .47314 a. Find the maximum number of units that can...
9) A company that manufactures computers have determined that its production function is given by Pr,y) 500x +800y +3x2ywhere x is the size of the labor force (measured in work-hours per week) and y is the amount of capital (measured in units of $1000) invested. a) Find and interpret P(50, 20) b) Find the Marginal Productivity of Labor when x-40 and y-10 and interpret the results
9) A company that manufactures computers have determined that its production function is given...
Question 1. (15 pts) Given f(x,
y) = 3x 2 + y 3 . (a) Find the gradient of f. (b) Find the
directional derivative of f at P0 = (3, 2) in the direction of u =
(5/13)i + (12/13)j.
Question 1. (15 pts) Given f(L,y) = 3x2 +y?. (a) Find the gradient of f. (b) Find the directional derivative off at P =(3,2) in the direction of u=(5/13)i + (12/13)j.
Question 4 a) For the production function f(L,K)= L13K2/3, find the long run cost function, marginal cost function and average cost function. (20 points) b) For the same production function above, find the short run variable cost function and total cost function when capital is fixed at 500 units. (10 Points) Question 5 Suppose inputs can be perfectly substituted at a constant rate of two units of labor for every one unit of capital, while producing the same level of...
2. (15 pts). Assume that the per-worker production function is y, 5.k Further, assume that the saving rate, s = 0.2, the depreciation rate, 8 0.04, and the population growth rate, n- 0. Calculate the following: (a) The steady-state values of the capital-labor ratio, k", output per worker, y, and consumption, c'. (b) The new steady-state values of the capital-labor ratio, output, and consumption (k, yi, and ci), if there is population growth so that n: 0.06. (c) Show your...
The Cobb-Douglas production function for a product is N(x,y) = 10(x^0.8)(y^0.2) where x is the number of units of labor and y is the number of units of capital required to produce N units of the product. What is the marginal productivity of labor and the marginal productivity of capital? What are they when there are 40 units of labor and 50 units of capital? Nx(x,y) = Nx(40, 50) = Ny(x,y) = Ny(40, 50) = If each unit of labor...
3. (15 pts). Assume that the per-worker production function is yr = 20 k'. Further, assume that the saving rate, s = 0.1, the depreciation rate, = 0.125, and the population growth rate, n= 0. Calculate the following: (a) The steady-state values of the capital-labor ratio, k", output per worker, y, and consumption, c. (b) The new steady-state values of the capital-labor ratio, output, and consumption (ki. Yi, and ci) if there is a technological progress and A increases from...
1. (10 pts). Assume that the per-worker production function is y, = 10.k'. Further, assume that the saving rate, s = 0.2, the depreciation rate, 8 = 0.4, and the population growth rate, n= 0. Calculate the following: (a) The steady-state values of the capital-labor ratio, k*, output per worker, y, and consumption, c. (b) The new steady-state values of the capital-labor ratio, output, and consumption (ki, yi, and Ci), if there is an increase in the saving rate, so...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago