

econometric estimates of the production of raspberries results in r=k0,4(l)0,6 where r represents the number of...
If given a specific production function is as follows: Q=L2K2 where, Q = output, L= number of workers employed in the production, K= number of capital equipment (machines) employed in the production process. Can you examine what kind of returns to scale is associated with this production function. Please pick one of the following three returns to scales as your answer and explain why you thing your answer is correct. [Constant Returns to Scale, Increasing Returns to Scale, Decreasing Returns...
12. Suppose an economy's production function is specified by y = A(√K,√L), where A represents the productivity of resources, K the quantity of capital resources, and L the quantity of labor resources. A. Find potential output when A = 10, K = 49, and L =9. B. Find potential output when A = 10, K = 49, and labor resources are 3, 6, and 12. C. Plot the levels of output associated with 3, 6, 9, and...
A firm production function is given by q(l,k) = l0.5·k0.5, where q is number of units of output produced, l the number of units of labor input used and k the number of units of capital input used. In the short-run the firm’s amount of capital is fixed at k1 = 100. When l = 25, the firm’s marginal product of labor is [MPl].
24. The production function is f(L,K)=4L”? K12, where L is the number of units of labour and K is the number of units of capital used. If the cost of labour is $36 per unit and the cost of capital is $4 per unit, then the minimum cost of producing 12 units of output will be a. $144. $72. c. $240. d. $24. e. $120
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 a rm's production function is Y = (3)L^(1/4)K ^(1/2), where L is the number of employees, K is the amount of capital, and Y is the quantity of output. The wage rate is w= 4, the rental rate of capital is r = 1, and the output price is p= 6. What are the optimal L and K in the long-run? What's the long-run profit?
A firm has a production function of Q=20K^.2*L^.8 where Q measures output, K represents machine hours, and L measures labor hours. If the rental cost of capital (r) equals $15 the wage rate (w) equals $10, and the firm wants to produce 40,000 units of output, how much labor and capital should the firm use?
An economy has a Cobb Douglas production function, given by: a, (1-a) (1) YAK L Where Yis equal to total production, K is equal to the capital input of production and L is equal to the labour input of production. The constant, A, represents technology in the economy and a the elasticity of capital. function exhibits, decreasing, increasing or constant returns to scale. [ 10 Marks A2. Carefully derive the marginal product of labour and explain how this might be...
Show and explain all calculations. Draw graphs whenever
necessary. Provide economic reasoning.
4. The production technology of a firm is described by a production function Q=L+2K where L represents the number of labor hours and K the number of machine hours used in the production process. The hourly wage and rental rates are given by w and r. Calculate the total cost function for the firm when both L and K are variable inputs. (Hint: A graph may be helpful.)
Suppose a pie factory’s production function is Q=2KLQ=2KL, where Q is the quantity of pies produced each hour, K is the number of ovens used, and L is the number of workers per hour. If KK is fixed at 5 units, what is the firm’s total product of labor equation (i.e., its short-run production function)? Assume 3 units of labor are employed with the 5 units of capital. If production achieves technological efficiency, how many pies are produced per hour?...