The production function for computers is given by Q = 20K 0.5L 0.5 , where Q is the number of computers produced per day, K is the number of assembly line machines (which is fixed at 2 in the short run), and L is the number of employees.
Write the equation for the firm's short-run production function.
b) Write the equation for the firm's short-run average product of labour function.
c) Calculate the average product of labour for L = 8 and L = 16.
d) Calculate the marginal product of labour for L = 1, L = 2, and L = 3.
The production function for computers is given by Q = 20K 0.5L 0.5 , where Q...
A perfectly competitive firm's production function is Q=17LK where Q is the amount produced, L is the amount of labour hired and K is the amount of capital used. P is the price that the firm gets for its product. What is the marginal revenue product of labour?
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].
Tiffany's company has the production function Q=2K^0.5L^0.5,
where Q measures output, K measures machine hours, and L measures
labor hours. Let the wage rate be W, and suppose that the rental
rate of capital is R=$20 and the firm wants to produce 400 units of
output. Use the Lagrange method to find the demand curve for labor
as a function of the wage rate. Your answer will have L on the left
hand side of the equation. On the right...
Suppose a firm's production function is Q = (KL)0.5. In the short run, this firm's capital stock is fixed at 100. Calculate the firm's short run total cost curve if w = 5 and v = 5. It can be shown (using calculus) that this firm's short run marginal costs are .1Q. In order to maximize its profits, how much would the firm choose to produce if the market price of its output was $5, $10, or $20. For each...
Suppose the production function for a firm is given by: q=5L0.5K0.25. In the short run, the firm has 16 units of capital. Find the Marginal Product of Labor (MPL). Fill in the appropriate numbers in the function below. MPL = Answer ___ L-0.5 (Round to the nearest 2 decimal places if necessary.)
Suppose the firm's production function is Q = 2KL where Q is units of output, K is units of capital (which are fixed at 2), and L is units of labor. a. What is the firm’s short-run production function? b. Over the labor input usage range of 0 to 5, that is L ranging from 0 to 5, graph the firm’s Total Product curve. c. Derive and graph the firm’s Average Product curve and the Marginal Product curve. Graph/plot them...
Priyanka's company has the production function Q=100K^0.5L^0.5, where Q measures output, K measures machine hours, and L measures labor hours. Suppose that the rental rate of capital is R=$30, the wage rate is W=$15, and the firm wants to produce 5,000units of output. Use the Lagrange method to find the optimal input mix. What the optimal level of K & L?
7. For the production function q= min(K, 4L) (a) Assume that capital K is fixed at 100 units. Derive and plot Page 2 of . The total product function q(L) ii. The marginal product function MPL(L) ii. The average product function AP(L) (b) Suppose the price of labour w is $1 and the rental rate r is also $1. Derive and plot all cost functions; that is: i. Short run total cost. ii. Variable cost. iii. Fixed cost. iv. Short...
7. For the production function q min(K,4L ): (a) Assume that capital K is fixed at 100 units. Derive and plot: i, The total product function q(L) ii. The marginal product function MPL(L). iii. The average product function APL(L). (b) Suppose the price of labour w is $1 and the rental rate r is also $1. Derive and plot all cost functions; that is: i. Short run total cost. ii. Variable cost. iii. Fixed cost. iv. Short run average cost....
Question Help The production function for the personal computers of DISK, Inc, is given by q-10K05105 where q is the number of computers produced per day, K is hours of machine time, and L is hours of labor input DISK's competitor, FLOPPY, Inc, is using the production function q 10K06 0.4 If both companies use the same amounts of capital and labor and K L, which firm will generate more output? The output of