Homework Answers
The marginal product of capital (MPK) function is the partial derivative with respect to capital. That is, MPK=(25/3)(L/K)^(2/3). Likewise, the marginal product of labor (MPL) function is the first derivative with respect to labor. That is, MPL=(50/3)*(K/L)^(1/3).
Since the exponents on capital and labor sum to one, this production function displays constant returns to scale.
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Question 3 (20 marks) (a) Suppose that A and B represent two inputs into a firm's...
1) A firm's production function is the relationship between: 1) _______ A) the demand for a...
1) A firm's production function is the relationship between: 1) _______ A) the demand for a firm's output and the quantity it is able to produce with available resources. B) the factors of production and the resulting outputs of the production process. C) the firm's production costs and the amount of revenue it receives from the sale of its output. D) the inputs employed by the firm and the resulting costs of production. 2) The demand curve faced by the...
A price-taking firm in a perfectly competitive market faces a market price of $4. The firm's...
A price-taking firm in a perfectly competitive market faces a market price of $4. The firm's marginal cost function is MC(Q) = 2 + aQ, where "a" is a positive number. As "a" increases, the firm's profit-maximizing quantity increases, decreases, or does not change?
NEED ALL ANSWERS PLEASE Problem 3 [24 marks] A competitive firm uses two inputs, capital (k) and labour (), to produce...
NEED ALL ANSWERS PLEASE
Problem 3 [24 marks] A competitive firm uses two inputs, capital (k) and labour (), to produce one output, (y). The price of capital, W, is S1 per unit and the price of labor, wi, is SI per unit. The firm operates in competitive markets for outputs and inputs, so takes the prices as given. The production function is f(k,l) 3k025/025. The maximum amount of output produced for a givern amount of inputs is y(k, l)...
Question Two [Total 50 marks] Suppose the market of carpets is competitive. The demand for and...
Question Two [Total 50 marks] Suppose the market of carpets is competitive. The demand for and the supply of carpets in the market have been estimated as follows: Demand: Qd = 6500 - 100P Supply: Qs = 1200P A typical firm producing carpets has a total cost function of C = 100+ 4.C and q stand for total cost and the output level of the firm respectively. a. Find the equilibrium market price and quantity of carpets. (5 marks] b....
2. Suppose one firm's labor demand function is: D(u) =-2w + 50; (a) if this firm...
2. Suppose one firm's labor demand function is: D(u) =-2w + 50; (a) if this firm hires in a competitive market with the marginal expense ME- 10, then what is the employment level for this firm? (b) if there are 100 firms that are exactly the same like this one hiring labor, what is the market labor demand function? Further, assume the market sup- ply function is S(w) -300w, then what is the equilibrium market wage and employment level?
NEED ANSWERS OF PART (f,g,h,j) Problem 2 [21 marks] Consider a firm that uses two inputs. The quantity used of input 1...
NEED ANSWERS OF PART (f,g,h,j)
Problem 2 [21 marks] Consider a firm that uses two inputs. The quantity used of input 1 is denoted by x, and the quantity used of input 2 is denoted by x2. The firm produces and sells one good using the production function f(x1, x2)-4x053x25. The final good is sold at price P $10. The prices of inputs 1 and 2 are w$2 and w2 $3, respectively. The markets for the final good and both...
2. A firm operates in a perfectly competitive industry. Suppose it has a short run total...
2. A firm operates in a perfectly competitive industry. Suppose it has a short run total cost function given by TC= 10000 +0.04q?. If the market price is 56, the firm's profit-maximizing quantity is?
in the drop down menu is possible or not possible A perfectly competitive firm's marginal cost...
in the drop down menu is possible or not possible
A perfectly competitive firm's marginal cost curve is upward sloping but not vertical. If the price of the product increases, in the short run it is for the firm's economic profit to decrease (or for its economic loss to increase) Which of the following statements explain the above argument? (Check all that apply.) A. It is not possible if the firm produces at any point on the marginal cost curve....
Question 3 (32 marks) a The market of popcom is perfectly competitive. The market demand curve...
Question 3 (32 marks) a The market of popcom is perfectly competitive. The market demand curve and supply curve are as follows: Demand: Qp = 2000-P Supply: 2 = 1400 +2P Firm K is one of the many firms producing popcorn in the market. The total cost function and marginal cost function are as follows: TC(q) =1250 +30 +29 MC(q) - 30 +49 i At what output level (g) would the average total cost be minimized? (6 marks) ii What...
3) Suppose that an industry consists of two firms that produces a homogeneous product. Suppose that...
3) Suppose that an industry consists of two firms that produces a homogeneous product. Suppose that each firm decides how much to produce and assumes that its rival will not alter its level of production in response (Cournot Model). The industry demand equation is: P 145 5(Q1+ Q2) where Qland Q2 represents the output of Firm 1 and Firm 2, respectively. The total cost equations of the two firms are: TCF 3Q1 and TCF 5Q2 A, Calculate each firm's Best...
NEED ALL ANSWERS PLEASE
Problem 3 [24 marks] A competitive firm uses two inputs, capital (k) and labour (), to produce one output, (y). The price of capital, W, is S1 per unit and the price of labor, wi, is SI per unit. The firm operates in competitive markets for outputs and inputs, so takes the prices as given. The production function is f(k,l) 3k025/025. The maximum amount of output produced for a givern amount of inputs is y(k, l)...
Question Two [Total 50 marks] Suppose the market of carpets is competitive. The demand for and the supply of carpets in the market have been estimated as follows: Demand: Qd = 6500 - 100P Supply: Qs = 1200P A typical firm producing carpets has a total cost function of C = 100+ 4.C and q stand for total cost and the output level of the firm respectively. a. Find the equilibrium market price and quantity of carpets. (5 marks] b....
2. Suppose one firm's labor demand function is: D(u) =-2w + 50; (a) if this firm hires in a competitive market with the marginal expense ME- 10, then what is the employment level for this firm? (b) if there are 100 firms that are exactly the same like this one hiring labor, what is the market labor demand function? Further, assume the market sup- ply function is S(w) -300w, then what is the equilibrium market wage and employment level?
NEED ANSWERS OF PART (f,g,h,j)
Problem 2 [21 marks] Consider a firm that uses two inputs. The quantity used of input 1 is denoted by x, and the quantity used of input 2 is denoted by x2. The firm produces and sells one good using the production function f(x1, x2)-4x053x25. The final good is sold at price P $10. The prices of inputs 1 and 2 are w$2 and w2 $3, respectively. The markets for the final good and both...
2. A firm operates in a perfectly competitive industry. Suppose it has a short run total cost function given by TC= 10000 +0.04q?. If the market price is 56, the firm's profit-maximizing quantity is?
in the drop down menu is possible or not possible
A perfectly competitive firm's marginal cost curve is upward sloping but not vertical. If the price of the product increases, in the short run it is for the firm's economic profit to decrease (or for its economic loss to increase) Which of the following statements explain the above argument? (Check all that apply.) A. It is not possible if the firm produces at any point on the marginal cost curve....
Question 3 (32 marks) a The market of popcom is perfectly competitive. The market demand curve and supply curve are as follows: Demand: Qp = 2000-P Supply: 2 = 1400 +2P Firm K is one of the many firms producing popcorn in the market. The total cost function and marginal cost function are as follows: TC(q) =1250 +30 +29 MC(q) - 30 +49 i At what output level (g) would the average total cost be minimized? (6 marks) ii What...
3) Suppose that an industry consists of two firms that produces a homogeneous product. Suppose that each firm decides how much to produce and assumes that its rival will not alter its level of production in response (Cournot Model). The industry demand equation is: P 145 5(Q1+ Q2) where Qland Q2 represents the output of Firm 1 and Firm 2, respectively. The total cost equations of the two firms are: TCF 3Q1 and TCF 5Q2 A, Calculate each firm's Best...
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