Consider a firm that has production function f(L,K)= 3L2/3K1/3. What is the expression for this firm’s Marginal Product of capital? MPK(L,K)= 3L2/3/K1/3. MPK(L,K)= 3L2/3/K2/3. MPK(L,K)= L1/3/K1/3. MPK(L,K)= L2/3/K2/3. MPK(L,K)= 2L2/3/K1/3.

If a firm has 5 units of capital, 10 units of labor, and the production function is  Q = 4L + 3K what is the Marginal product of capital?   3 4 11 45

Suppose a firm uses a single input to produce a single output according to a production function f(x) = 10√x where x is the number of units of input. The output initially sells for £120 per unit. The input costs £20 per unit. A change in the market causes the product price to increase from £120 per unit to £200 per unit, all else equal. How does this change in product price affect the firm's profit maximizing level of profits? a. Profits increase by £16,000 Ob. Profits do not change Profits increase by £8,000 d. None of the other answers is correct Profits increase by £9,000 f. Profits increase by £18,000 g. Profits increase by £50,000 h. Profits increase by £32,000 C. e.

Sugar Enterprises manufactures high speed personal computers as its main product line. Its short run production function is given by Q = 3600K - 4.5K² where Q is the number of computers produced in a week and K pertains to the number of units of capital.  c.) Compute the marginal product of the 200th unit of capital.  d.) How many computers can be produced by the firm in a week if there are 200 units of capital?  e.) Compute the marginal product of the 300th unit of labor.  f.) How many computers can be produced by the firm in a week if there are 300 units of labor?

A firm faces a production function with inputs capital (K) and labor (L): F(K, L) = K¹/² L¹/4 The amount of capital used for production is determined at the beginning of the year. The prices of K and L are v and w respectively.

A competitive firm uses two variable factors to produce its output, with a production function q = min{x1, x2}. The price of factor 1 is £8 and the price of factor 2 is £5. Due to a lack of warehouse space, the company cannot use more than 10 units of x1. The firm must pay a fixed cost of £80 if it produces any positive amount but doesn't have to pay this cost if it produces no output. What is the smallest integer price that would make a firm willing to produce a positive amount? А. £44 В. £41 С. £29 D. £13 Е. £21

Question 5: Suppose a brewery uses a Cobb-Douglas production function for his production. He studies the production process and finds the following. An additional machine-hour of fermentation capacity would increase output by 500 bottles per day (i. e. MPK = 500). An additional man-hour of labor would increase output by 1000 bottles per day (i. e. MPL = 1000). The price of a man- hour of labor is $50 per hour. The price of a machine-hour of fermentation capacity is $5 per hour. 1. Is the brewery currently minimizing its cost of production? Check using the minimization condition. 2. It turns out, the brewery is not optimally chossing the factors of production. To lower its production cost, which factor of production should the brewery increase and which factor should he decrease? 3. Suppose that the price of a machine-hour of fermentation capacity rises to $25 per hour. How does this change the answer from part 1?

Suppose a brewery uses a Cobb-Douglas production function for his production. He studies the production process and finds the following. An additional machine-hour of fermentation capacity would increase output by 600 bottles per day (i. e. MPK = 600). An additional man-hour of labor would increase output by 1200 bottles per day (i. e. MP₁ = 1200). The price of a man-hour of labor is $40 per hour. The price of a machine-hour of fermentation capacity is $8 per hour. 1. Is the brewery currently minimizing its cost of production? Check using the minimization condition. 2. It turns out, the brewery is not optimally choosing the factors of production. To lower its production cost, which factor of production should the brewery increase and which factor should he decrease? 3. Suppose that the price of a machine-hour of fermentation capacity rises to $20 per hour. How does this change the answer from part 1?

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1. The production function for the personal computers of DISK, Inc., is given by q = 10K0.5L0.5,where q is the number of computers produced per day, K is hours of machine time, and L ishours of labor input. DISK’s competitor, FLOPPY, Inc., is using the production function q = 10K0.6L0.4. a. If both companies use the same amounts of capital and labor, which will generatemore output?b. Assume that capital is limited to 9 machine hours, but labor is unlimited in supply. Inwhich company is the marginal product of labor greater? Explain.