ans) 18
Marginal product of capital ( MPK) = dQ/dk = 5.2 - 2K
Put K = 2 implies MPK = 5.2 - 2(2) = 1.2
MPK * marginal revenue = 1.2* 15 = 18
Question 4 O out of 10 points Suppose we have a production function Q = 5.2K-K2....
Suppose we have a production function Q = 16.7K - K^2. If marginal revenue is $10, what is the marginal revenue product of capital when K=4. Hint: Round your answer to two decimal places.
Consider production function f(l, k) = l2 + k2 (a) Evaluate the returns to scale. (b) Calculate the marginal product of labor and the marginal product of capital. (c) Calculate the MRTS. (d) Does the production function exhibit diminishing MRTS? (e) Plot the isoquant for production level q = 1. Hint: Notice that the input mixes (1; 0) and (0; 1) are on this isoquant.
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?
2. The inverse market demand function is given by P()-20 q. Would consumers prefer to face a monopolist in this market with a cost function given by C(g)4+ 2q, or a perfectly competitive firm with a cost function given...
Suppose we have a production function Q = 5.4L^2+4. What is the marginal product when there are five units of labor.
1. Suppose that the production function for lava lamps is given by Q = KL -ľ, where is the number of lamps produced per year, K is the machine-hours of capital, and L is the man-hours of labor. Suppose K = 600. a. Draw a graph of the production function over the range L = 0 to L = 500, putting L on the horizontal axis and on the vertical axis. Over what range of L does the production function...
Consider the following production function: Q = 55⋅K2/3L4/3 A. Determine whether this production function has increasing, decreasing, or constant returns to scale. Explain and show your work. B. Does this production function obey the law of diminishing marginal product in labor? Explain and show your work.
18. value: 7.00 points Suppose that a firm with the production function Q = min(5K, 5L) is currently using 6 units of capital and 5 units of labour. What are the marginal products of K and L in this case? K=
12. A firm has the production function q = f(L, K) = L + K2 This firm has: a. decreasing returns to scale b. increasing returns to scale c. constant returns to scale d. increasing marginal product e. None of the above.
Question 5 Tries remaining: 2 Points out of 10.00 Suppose you own an acre of land. You could grow crops on that land. The cost of seeds is $100. The crops you grow from those seeds will sell for $350. You could also rent the land to another farmer. The rent you could earn is $300. Calculate your economic profit. (Do not include a $ sign in your answer.) Flag question Answer: Check Question 6 Tries remaining: 2 Points out...
4. Consider the production functions given below: a. Suppose that the production function faced by a milk producer is given by Q = 40.5 20.5 = 4VK VL, where MPx = 2K-0.5 20.5 = 2 and MP, = 2 K0.5L-05 = 2 * i. Do both labor and capital display diminishing marginal products in the short run? ii. Find the marginal rate of technical substitution for this production function. (Hint: The MRTS = 1) iii. Does this production function display...