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4. Suppose that a firm's production function is q = 10KiL, The Marginal Products of Capital...
Suppose a firm has the following production function: Q = 2K L. The marginal product of...
Suppose a firm has the following production function: Q = 2K L. The marginal product of capital is 2L, and the marginal product of labor is 2K. Assume that capital rents for $100 per unit per day, that labor can be hired for $200 per unit per day, and that the firm is minimizing costs. a. The firm will hire units of labor and - units of capital. b. What is the total cost of producing 60 units of output?...
Please help! Please show all work! 2. (21 points. Suppose a firm's production function is given...
Please help! Please show all work!
2. (21 points. Suppose a firm's production function is given by Q = L 1/2*K12. The Marginal Product of Labor and the Marginal Product of Capital are given by: MPL = 72 L 1/2K1/2and MPK = 12L12K-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...
1. Suppose the production function is given by Q = LK, where MPL = K and MPK - L. The level of output Q = 100 and bo...
1. Suppose the production function is given by Q = LK, where MPL = K and MPK - L. The level of output Q = 100 and both wage and interest rates are equal to one, so that war- a) Given that the wage increases to 4. determine the elasticity of demand for labour at the new wage. Indicate whether the wage bill will increase or decrease as wage increases to 6. b) Find the linear demand function for labour...
4) Suppose each firm's long run average cost curve, for positive levels of output, is given by AC 0.10.05Q+5/Q. The...
4) Suppose each firm's long run average cost curve, for positive levels of output, is given by AC 0.10.05Q+5/Q. The marginal cost curve is given by MC 0.+0.1Q. (a) Find the minimum efficient scale for the above cost function (b) What is the firm's minimum average cost? (c) Suppose you have many identical firms in a long run competitive equilibrium. Demand is P 13.1-0.040. What is the market quantity? How many firms are there? (d) Suppose demand increases to P...
Suppose a firm's production function is Q = (KL)0.5. In the short run, this firm's capital stock ...
Suppose a firm's production function is Q = (KL)0.5. In the short run, this firm's capital stock is fixed at 100. Calculate the firm's short run total cost curve if w = 5 and v = 5. It can be shown (using calculus) that this firm's short run marginal costs are .1Q. In order to maximize its profits, how much would the firm choose to produce if the market price of its output was $5, $10, or $20. For each...
e) Suppose that a competitive firm's marginal cost of producing output q is given by MC(q)...
e) Suppose that a competitive firm's marginal cost of producing output q is given by MC(q) -3+2q. Assume that the market price of the firm's product is $9. i) What level of output will the firm produce? (2p) ii) What is the firm's producer surplus? (4p) ii) Suppose that the average variable cost of the firm is given by AVC(g)-3+q. Suppose that the firm's fixed costs are known to be $3. Will the firm be earning a positive, negative, or...
Suppose a firm’s production function is given by Q = L1/2*K1/2. The Marginal Product of Labor...
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. The marginal product of labor in the production of computer chips is 50 chips per...
5. The marginal product of labor in the production of computer chips is 50 chips per hour. The marginal rate of technical substitution of hours of labor for hours of machine capital is 1/2. What is the marginal product of capital? 6. Suppose that a firm's production function is q = 10LT/2K1/2. The cost of a unit of labor is $20 and the cost of a unit of capital is $80. a. The firm is currently producing 100 units of...
1. Suppose that, for the production process for quarks, labour and capital are gross complements. Using...
1. Suppose that, for the production process for quarks, labour and capital are gross complements. Using isoquant / isocost analysis, illustrate how the long-run quantity-demanded for labour would be affected by a decrease in the cost of capital. Illustrate both the “substitution effect” and the “scale effect.” 2. Suppose capital and labour are perfect substitutes for producing widgets and that it takes 1 unit of capital or 3 units of labour to produce one widget. If the price of labour...
4. Suppose the production function is equal to the following: Q=VIK Suppose the price of capital is equal to r, the pr...
4. Suppose the production function is equal to the following: Q=VIK 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.
Show transcribed image text 4. Suppose the production function is equal to the following: Q=VIK Suppose the price of capital is equal to r, the price of labor...
Suppose a firm has the following production function: Q = 2K L. The marginal product of capital is 2L, and the marginal product of labor is 2K. Assume that capital rents for $100 per unit per day, that labor can be hired for $200 per unit per day, and that the firm is minimizing costs. a. The firm will hire units of labor and - units of capital. b. What is the total cost of producing 60 units of output?...
Please help! Please show all work!
2. (21 points. Suppose a firm's production function is given by Q = L 1/2*K12. The Marginal Product of Labor and the Marginal Product of Capital are given by: MPL = 72 L 1/2K1/2and MPK = 12L12K-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...
1. Suppose the production function is given by Q = LK, where MPL = K and MPK - L. The level of output Q = 100 and both wage and interest rates are equal to one, so that war- a) Given that the wage increases to 4. determine the elasticity of demand for labour at the new wage. Indicate whether the wage bill will increase or decrease as wage increases to 6. b) Find the linear demand function for labour...
4) Suppose each firm's long run average cost curve, for positive levels of output, is given by AC 0.10.05Q+5/Q. The marginal cost curve is given by MC 0.+0.1Q. (a) Find the minimum efficient scale for the above cost function (b) What is the firm's minimum average cost? (c) Suppose you have many identical firms in a long run competitive equilibrium. Demand is P 13.1-0.040. What is the market quantity? How many firms are there? (d) Suppose demand increases to P...
e) Suppose that a competitive firm's marginal cost of producing output q is given by MC(q) -3+2q. Assume that the market price of the firm's product is $9. i) What level of output will the firm produce? (2p) ii) What is the firm's producer surplus? (4p) ii) Suppose that the average variable cost of the firm is given by AVC(g)-3+q. Suppose that the firm's fixed costs are known to be $3. Will the firm be earning a positive, negative, or...
5. The marginal product of labor in the production of computer chips is 50 chips per hour. The marginal rate of technical substitution of hours of labor for hours of machine capital is 1/2. What is the marginal product of capital? 6. Suppose that a firm's production function is q = 10LT/2K1/2. The cost of a unit of labor is $20 and the cost of a unit of capital is $80. a. The firm is currently producing 100 units of...
4. Suppose the production function is equal to the following: Q=VIK 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.
Show transcribed image text 4. Suppose the production function is equal to the following: Q=VIK Suppose the price of capital is equal to r, the price of labor...
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