Consider a firm using two inputs; capital (K) and labor (L) in production. The firm's production technology is characterized by the following production function: Q = F(K, L) = 40K L In the short run (SR), the quantity of the capital (K) that the firm uses is fixed at K = 10 whereas the quantity of the labor input can be varied. Price of labor is $4,000 per worker and the price of capital is $2,000 per capital. (PL=$4,000 and PK=$2,000) Derive the equation of the TC as a function of Q in the short run and identify the variable and fixed cost component of the TC equation.

Consider a firm using two inputs; capital (K) and labor (L) in production. The firm's production...
Suppose a firm has the production function: Q=2KL, where K is capital, L is labor and Q is quantity. If capital is fixed at 4 in the short run. Suppose the cost of a unit of capital is $2 (r=2), and the cost of a unit of labor is $4 (w=4). What is the short run total cost function in terms of Q? A. TC=4+Q B. TC=4+0.5Q C. TC=8+Q D. TC=8+0.5Q
Suppose a firm has the production function: Q=2KL, where K is capital, L is labor and Q is quantity. If capital is fixed at 4 in the short run. What is the short run production function? A. Q=2L B. Q=8L C. Q=2K D. Q=8K
A firm produces a product with labor and capital as inputs. The production function is described by Q = LK. The marginal products associated with this production function are MPL= K and MPK= L. Let w = 1 and r = 1 be the prices of labor and capital, respectively. a) Find the equation for the firm’s long-run total cost curve as a function of quantity Q. b) Solve the firm’s short-run cost-minimization problem when capital is fixed at a...
A firm uses two types of inputs, labor (L) and capital (K), to produce an output, which is sold in a perfectly competitive market. The production function is given by y = f(L, K) = L 1 6 K 1 6 for all L, K ≥ 0. The price of labor is w > 0 and the price of capital is 1. Each unit of the output is sold at price p > 0. First, we consider the short-run decision...
A firm produces toasters using capital (K) and labor (L). The price of capital is r > 0 and the price of labor is w > 0. The quantity Q of toasters produced is given by the function: Q = f(L, K) = L^(1/2) K^(1/3) (a) What type of returns to scale does the firm have? (b) Assume that the firm minimizes costs and that all factors are variable . i. Explain the conditions that hold when the plant produces...
A firm produces output Q by using capital K and labor L in fixed proportions, i.e. Q = F (K ,L ) = min {K, L/3}. The price of a unit of labor is w = 6, the price of a unit of capital is r = 2 and the price of output is p = 20. a) Draw the isoquant for Q = 8. b) Find the marginal product of labor. Suppose that (in part c and d) the...
1. Rikell company produces helmets using labor (L) and capital (K). Its production function is given by the following expression: Q = 98 L + 5 K where Q is the output of helmets. The prices of labor (PL), capital (PK), helmet (P) and the cost (C) are the following: PL=70, PK=62, P=48 and C=2,856 What is the slope of Rikell's Isoquant? 2. Rikell company produces helmets using labor (L) and capital (K). Its production function is given by the...
Suppose a firm uses only two inputs, labor (L) and capital (K). In the short run, the amount of capital is fixed. If the price of labor is $4, and the marginal cost of production is $8, then the marginal product of labor is 4 2 32 12 None of the other answers are correct.
Consider a production function of three inputs, labor, capital, and materials, given by Q= LKM. The marginal products associated with this production function are as follows: MPL = KM, MPk = LM, and MPM = LK. Let w = 5, r = 1, and m = 2, where m is the price per unit of materials. (a) Suppose that the firm is required to produce Q units of output. Show how the cost-minimizing quantity of labor depends on the quantity Q....
Suppose that a firm uses capital (K) and labor (L) to produce widgets, and that the production function for widgets is given by Q = K 1/3L1/2 Assume that r = $4 and w = $4, where r is the price of capital and w is the wage rate. Finally, suppose that the price of widgets, p, is $8. a) Suppose that K = 64 in the short run. Given that w = 4, how many workers should this firm...