Derive the cost function associated with the production function in questions 2 is C(q) = 4 + 2q and in questions 3 is C=wL+rK=1*8+2*4=16. The cost function is of the general form C(Q) = xQ. What is the value of x?
Answer to question 2 is wrong , so it is rectified and correct answer is provided below . Please post one question at a time .
Derive the cost function associated with the production function in questions 2 is C(q) = 4...
A monopolist has a production function 27 (L-2)(K+1) Q(L,K) where L, Kis the amount of labor and capital. The wage rate is denoted by w and the rental rate of capital is denoted by r. The inverse demand function the monopolist is faced with is given by P = 12- 3Q where P is the market price and Q is the quantity sold. 13. Write down the optimization problem of the monopolist. 14. Write down the first order condition(s) 15....
Imagine that your firm has a production function given by Q = 2 KL, where K is capital and L is labor. If capital rents for $100 per unit per day, labor can be hired for $200 per unit per day, and the firm is minimizing costs, a. What is the total cost of producing q units of output? b. What is the average cost of producing q units of output? c. What is the marginal of producing q units...
VILPELLO P IU points) 4. A firm produces an output with the production function Q=KL, where Q is the number of units of output per hour when the firm uses K machines and hires L workers each hour. The marginal products for the production function are MPK = L and MP, = K. The price of K is 4 and the price of L is 2. The firm is currently using K =16 and just enough L (you have to...
A monopolist has a production function 27 (L-2)(K+1) Q(L,K) where L, Kis the amount of labor and capital. The wage rate is denoted by w and the rental rate of capital is denoted by r. The inverse demand function the monopolist is faced with is given by P = 12- 3Q where P is the market price and Q is the quantity sold. 13. Write down the optimization problem of the monopolist. 14. Write down the first order condition(s) 15....
Suppose a firm’s production function is given by Q = L1/2*K1/2. The Marginal Product of Labor and the Marginal Product of Capital are given by: MPL = ½ L-1/2K1/2and MPK = ½ L1/2K-1/2 a) Suppose the price of labor is w = 18, and the price of capital is r = 2. Derive the firm’s total cost function. b) What is the firm’s marginal cost? c) For this problem, you will sketch the graph of the firm’s isoquant for Q...
5. Suppose that your production function is q = K + L. If the firm is able to buy all the capital and labor it wants at r = $2 and w $3, what is the firm's cost function? 2q 5q 2K a. b. C. d. 3L 3L+ 2K e. 5. Suppose that your production function is q = K + L. If the firm is able to buy all the capital and labor it wants at r = $2...
A firm has the following production function Q= √KL Where Q is output per week and K and L are units of capital and labor per week. If rental price of capital v= 100 per week and the wages w = 400 per week obtain the quantity of K and L that min the cost for Q = 10.
Let the production function be given by Q = 2K + L with r = 3 and w = 1. a)How much K and L is employed in the efficient production of 10 units of output?
4. Suppose the production function is equal to the following: Q = (√L)(K) Suppose the price of capital is equal to r, the price of labor is equal to w, and capital is fixed at 10 units. a) Determine the Cost function. b) Determine the marginal cost of producing an additional unit of output. c) Determine the average variable cost.
Suppose a firm has a production function given by Q=2K+L, where L is labor, K is capital and Q is the quantity of output. Which of the following statements is WRONG? A. The firm is exhibiting constant returns to scale B. The firm’s marginal product of capital is constant C. The firm’s marginal product of labor is constant D. The firm’s marginal rate of technical substitution depends on the amount of inputs