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...
Suppose a firm has the production function: Q = 2KL, where K is capital, Lis labor and Q is quantity. If capital is fixed at 4 in the short run. Suppose the cost of a unit of capital is $1 (r=1), and the cost of a unit of labor is $4 (w=4). What is the short run total cost function in terms of Q? OTC = 8+Q OTC = 8+0.5Q OTC = 4+ 0.5Q OTC = 4+Q Question 9 (1...
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
Question 7 (1 point) Suppose a firm has the production function: Q = 2KL, where K is capital, Lis labor and Q is quantity. If capital is fixed at 4 in the short run. What is the short run production function? Q=2L Q=8L Q=2K Q=8K
1. The production function of a firm is f(1,k) = Vlk where l is labor and k is capital/machinery. a. In the short run, if the quantity of capital is fixed at 64, derive the short run total cost SC(q), average cost SAC(q), and marginal cost SMC(q) of this firm. Assume each input costs $1 per unit. At what output does the minimum of SAC(q) occur? b. If labor and capital cost r and w respectively, and the quantity of...
A plant’s production function is Q = 2KL + K . The price of labor services w is $ 4 and of capital services r is $ 5 per unit. a) In the short run, the plant’s capital is fixed at K = 9. Find the amount of labor it must employ to produce Q = 45 units of output. b) How much money is the firm sacrificing by not having the ability to choose its level of capital optimally?...
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...
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...
A firm has a Cobb-Douglas production function q = AKL, where K denotes capital, L is labor, and A, a, b, are constants. ginal returns to labor in the short run if its production function is 1. Sketch an isoquant line, write a mathematical formula for its slope, and provide an interpretation for its meaning. 2. On a separate graph, draw an isocost line, write a mathematical formula for its slope, and provide an interpretation for its meaning. 3. On...
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...
Output for a simple production process is given by Q = 2KL, where K denotes capital, and L denotes labour. The price of capital is $25 per unit and capital is fixed at 8 units in the short run. The price of labour is $5 per unit. What is the total cost of producing 80 units of output? Numeric Answer: