Given the Cobb-Douglas production function for Mabel’s factory Q = (L0.4) * (K 0.7) a) Based...
Given the Cobb-Douglas production function for Mabel’s factory
Q = (L0.4) * (K 0.7)
a) Based on the function above, does Mabel’s factory experiencing
economies or diseconomies of scale? Explain.
b) If the manager wished to raise productivity by 50% and planned to
increase capital by 25%, how much would she have to increase her labor
to reach that desired production level?
Homework Answers
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Given the Cobb-Douglas production function for Mabel’s
factory
Q = (L0.4) * (K 0.7)
a) Based...
Given the Cobb-Douglas production function for Mabel’s factory Q = (L0.4) * (K0.7) a) Based on...
Given the Cobb-Douglas production function for Mabel’s factory Q = (L0.4) * (K0.7) a) Based on the function above, does Mabel’s factory experiencing economies or diseconomies of scale? Explain. b) If the manager wished to raise productivity by 50% and planned to increase capital by 25%, how much would she have to increase her labor to reach that desired production level?
2) Given the Cobb-Douglas production function for Mabel’s factory Q = (L0.4) * (K0.7) a) Based...
2) Given the Cobb-Douglas production function for Mabel’s factory Q = (L0.4) * (K0.7) a) Based on the function above, does Mabel’s factory experiencing economies or diseconomies of scale? Explain. b) If the manager wished to raise productivity by 50% and planned to increase capital by 25%, how much would she have to increase her labor to reach that desired production level?
* A firm produces output that can be sold at a price of $10. The Cobb-Douglas...
* A firm produces output that can be sold at a price of $10. The Cobb-Douglas production function is given by Q = F(K,L) = K½ L½ If capital is fixed at 1 unit in the short run, how much labor should the firm employ to maximize profits if the wage rate is $2? * Given the Cobb-Douglas production function for Mabel’s factory Q = (L0.4) * (K0.7) a) Based on the function above, does Mabel’s factory experiencing economies...
2. For the following Cobb-Douglas production function, q = f(L,K) = _0.45 0.7 a. Derive expressions...
2. For the following Cobb-Douglas production function, q = f(L,K) = _0.45 0.7 a. Derive expressions for marginal product of labor and marginal product of capital, MP, and MPK. b. Derive the expression for marginal rate of technical substitution, MRTS. C. Does this production function display constant, increasing, or decreasing returns to scale? Why? d. By how much would output increase if the firm increased each input by 50%?
SHOW ALL WORK!!! 2. For the following Cobb-Douglas production function, q=f(L,K) = _0.45 0.7 a. Derive expressions for m...
SHOW ALL WORK!!!
2. For the following Cobb-Douglas production function, q=f(L,K) = _0.45 0.7 a. Derive expressions for marginal product of labor and marginal product of capital, MP, and MPK. b. Derive the expression for marginal rate of technical substitution, MRTS. C. Does this production function display constant, increasing, or decreasing returns to scale? Why? d. By how much would output increase if the firm increased each input by 50%?
A firm production is represented by the following Cobb-Douglas function: Q=K1/4L3/4 The rental rate, r, of...
A firm production is represented by the following Cobb-Douglas function: Q=K1/4L3/4 The rental rate, r, of capital is given by $100 and the price of labor w is $200. a. For a given level of output, what should be the ratio of capital to labor in order to minimize costs? b. How much capital and labor should be used to produce 300 units? c. What is the minimum cost of producing 300 units? d. What is the additional cost of...
A “Cobb–Douglas” production function relates production (Q) to factors of production, capital (K), labor (L), and...
A “Cobb–Douglas” production function relates production (Q) to factors of production, capital (K), labor (L), and raw materials (M), and an error term u using the equation: ? = ???1??2M?3? ?, where ?, ?1, ?2, and ?3 are production parameters. a) Suppose that you have data on production and the factors of production from a random sample of firms with the same Cobb–Douglas production function. How would you propose to use OLS regression analysis to estimate the above production parameters,...
A firm has a Cobb-Douglas production function of Q = K^(0.25) L^(0.75) (a) Does this production...
A firm has a Cobb-Douglas production function of Q = K^(0.25) L^(0.75) (a) Does this production technology exhibit increasing, constant, or decreasing returns to scale? (b) Suppose that the rental rate of capital is r = 1, the wage rate is w = 1, and the ?rm wants to produce Q = 3. In the long-run, what combination of L and K should they use? (It would be good to practice doing this with the Lagrangian, even if you can...
In a Cobb Douglas production function the marginal product of labor will increase if: a. the...
In a Cobb Douglas production function the marginal product of labor will increase if: a. the quantity of labor increases. b. the quantity of capital increases. c. capital's share of output increases. d. average labor productivity decreases.
The Cobb-Douglas production function is given as: Q = AK1-aLa Where 0<a<1, a = .8, K...
The Cobb-Douglas production function is given as: Q = AK1-aLa Where 0<a<1, a = .8, K =4 is the amount of capital, and L=16 is the number of unit of labor, and A = 12 is the measure of TECHNOLOGY INDEX a) Find the real wage of labor (marginal product of labor), W/P, (b) Find rate of return of capital (marginal product of capital), and (c) Discuss the insights of your findings. (d) Why is there not a large amount...
2. For the following Cobb-Douglas production function, q = f(L,K) = _0.45 0.7 a. Derive expressions for marginal product of labor and marginal product of capital, MP, and MPK. b. Derive the expression for marginal rate of technical substitution, MRTS. C. Does this production function display constant, increasing, or decreasing returns to scale? Why? d. By how much would output increase if the firm increased each input by 50%?
SHOW ALL WORK!!!
2. For the following Cobb-Douglas production function, q=f(L,K) = _0.45 0.7 a. Derive expressions for marginal product of labor and marginal product of capital, MP, and MPK. b. Derive the expression for marginal rate of technical substitution, MRTS. C. Does this production function display constant, increasing, or decreasing returns to scale? Why? d. By how much would output increase if the firm increased each input by 50%?
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