![Question B2: Corrective taxes [25 marks] A firm uses two dirty inputs, i and y, which contribute to output a(z,y) and external harm H(x,y). The output price is p and the price of each input is equal to one. a) The socially efficient levels of the two inputs are those that maximise the firms profits minus external harm, pu(x, y) - x - y - H(x, y). Take first-order conditions with respect to x and y. b) Next, consider the firms profit maximisation problem. First, assume that output cannot be taxed, but both inputs can. If the input taxes are T, and Ty respectively, the firm maximises pax, y) - (1 + T) - (1 + Tyy. Take first-order conditions with respect to a and y. What should T, and Ty be set to, to implement social efficiency? c) Now imagine that neither input can be taxed, although output q can be. If the tax on each unit of output is Tg, what will the firm maximise? Take first-order conditions with respect to x and y. d) Under what conditions will it be possible to implement social efficiency with an output tax alone? Explain.](http://img.homeworklib.com/questions/58c635c0-6cc8-11ec-9184-079d0b55849b.png?x-oss-process=image/resize,w_560)
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Question B2: Corrective taxes [25 marks] A firm uses two dirty inputs, i and y, which...
A firm uses two inputs x1 and x2 to produce output y. The production function is...
A firm uses two inputs x1 and x2 to produce
output y. The production function is given by f(x1, x2) = p
min{2x1, x2}. The price of input 1 is 1 and the price of input 2 is
2. The price of output is 10.
4. A firm uses two inputs 21 and 22 to produce output y. The production function is given by f(x1, x2) = V min{2x1, x2}. The price of input 1 is 1 and the price...
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...
Consider a cost-minimizing firm that uses two inputs x, and x, to produce output y from...
Consider a cost-minimizing firm that uses two inputs x, and x, to produce output y from the production function y=x"X, where a >0 and B>0. The competitive input prices of x, and x, are given respectively as w, and wz. a) Find the firm's demand functions for inputs x, and xz. b) Find the firm's total cost, average cost, and marginal cost functions. c) Show that if a +B>1 then average cost is always greater than marginal cost.
II. A simple economy with two factor inputs and two outputs. Let there be two factor...
II. A simple economy with two factor inputs and two outputs. Let there be two factor inputs: land denoted T and labor denoted L. The resource endowment of T is Tº = 8; the resource endowment of L is Lº = 8. Let there be two goods: z and y. Robinson has a utility function u(x,y) := xy. The prevailing wage rate of labor is w, and the rental rate on land is r. Good is produced in a single...
hi i need answer from part d Question 2 (48 marks) Consider a firm which produces a good, y, using two factors of...
hi i need answer from part d
Question 2 (48 marks) Consider a firm which produces a good, y, using two factors of production, xi and x2 The firm's production function is Note that (4) is a special case of the production function in Question 1, in which α-1/2 and β-14. Consequently, any properties that the production function in Q1 has been shown to possess, must also be possessed by the production function defined in (4). The firm faces exogenously...
Question 1 (32 marks) Consider a firm which produces a good, y, using two inputs or factors of production, x1 and...
Question 1 (32 marks) Consider a firm which produces a good, y, using two inputs or factors of production, x1 and x2. The firm's production function describes the mathematical relationship between inputs and output, and is given by (a) Derive the degree of homogeneity of the firm's production function. 4 marks) (b) The set is the set of combinations of (xi,x2) which produce output level yo.S is a level curve of f and is referred to by economists as the...
Please Help. Thank you very much. 1. A firm can buy inputs one and two at...
Please Help. Thank you very much.
1. A firm can buy inputs one and two at prices w and w2, and sells the resulting output in at a market price p. The production function is f(11,12)= + 5 1.1 Form the cost-minimization problem for this firm, find the contingent demand functions, and find the cost function for the firm. Using this cost function, maxi- mize py-C(wi, W2, y). 1.2 Formulate the profit maximization problem for this firm using the the...
Question 3 (10 pts): Consider the closed-loop system pictured below, with two inputs: the reference input z (ideally, to be tracked by output y) and a "disturbance" input d. (Note the mi...
Question 3 (10 pts): Consider the closed-loop system pictured below, with two inputs: the reference input z (ideally, to be tracked by output y) and a "disturbance" input d. (Note the minus sign at the bottom entry of the summing junction on the left.) Block H and G represent LTI systems; H has transfer function HL and G has transfer function GL. All blocks are causal (so that the closed-loop system is causal as well). Both z and d are...
Question 2. In this problem, we will consider how the rental price of capital Rt and...
Question 2. In this problem, we will consider how the rental price of capital Rt and the wage rate we are determined under the assumptions of the Solow growth model. Suppose there exists a representative firm in this economy with Cobb-Douglas production function given by Y = K L-, and that the price of its output P has been normalized to 1. a) Write out the firm's profit function. (Hint: think about what total revenues and total costs are if...
1) Decreasing returns to scale may occur as increasing the amount of inputs used A) increases...
1) Decreasing returns to scale may occur as increasing the amount of inputs used A) increases specialization B) may cause coordination difficulties. C) always increases the amount of output produced D) increases efficiency. 2) Which of the following statements is NOT true? A) AFC = AC - AVC C) AVC = wage/MPL B) AC = AFC + AVC D) C=F-VC 3) The more elastic the demand curve, a monopoly A) will have a larger Lemer Index. will face a lower...
A firm uses two inputs x1 and x2 to produce
output y. The production function is given by f(x1, x2) = p
min{2x1, x2}. The price of input 1 is 1 and the price of input 2 is
2. The price of output is 10.
4. A firm uses two inputs 21 and 22 to produce output y. The production function is given by f(x1, x2) = V min{2x1, x2}. The price of input 1 is 1 and the price...
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...
Consider a cost-minimizing firm that uses two inputs x, and x, to produce output y from the production function y=x"X, where a >0 and B>0. The competitive input prices of x, and x, are given respectively as w, and wz. a) Find the firm's demand functions for inputs x, and xz. b) Find the firm's total cost, average cost, and marginal cost functions. c) Show that if a +B>1 then average cost is always greater than marginal cost.
II. A simple economy with two factor inputs and two outputs. Let there be two factor inputs: land denoted T and labor denoted L. The resource endowment of T is Tº = 8; the resource endowment of L is Lº = 8. Let there be two goods: z and y. Robinson has a utility function u(x,y) := xy. The prevailing wage rate of labor is w, and the rental rate on land is r. Good is produced in a single...
hi i need answer from part d
Question 2 (48 marks) Consider a firm which produces a good, y, using two factors of production, xi and x2 The firm's production function is Note that (4) is a special case of the production function in Question 1, in which α-1/2 and β-14. Consequently, any properties that the production function in Q1 has been shown to possess, must also be possessed by the production function defined in (4). The firm faces exogenously...
Question 1 (32 marks) Consider a firm which produces a good, y, using two inputs or factors of production, x1 and x2. The firm's production function describes the mathematical relationship between inputs and output, and is given by (a) Derive the degree of homogeneity of the firm's production function. 4 marks) (b) The set is the set of combinations of (xi,x2) which produce output level yo.S is a level curve of f and is referred to by economists as the...
Please Help. Thank you very much.
1. A firm can buy inputs one and two at prices w and w2, and sells the resulting output in at a market price p. The production function is f(11,12)= + 5 1.1 Form the cost-minimization problem for this firm, find the contingent demand functions, and find the cost function for the firm. Using this cost function, maxi- mize py-C(wi, W2, y). 1.2 Formulate the profit maximization problem for this firm using the the...
Question 3 (10 pts): Consider the closed-loop system pictured below, with two inputs: the reference input z (ideally, to be tracked by output y) and a "disturbance" input d. (Note the minus sign at the bottom entry of the summing junction on the left.) Block H and G represent LTI systems; H has transfer function HL and G has transfer function GL. All blocks are causal (so that the closed-loop system is causal as well). Both z and d are...
Question 2. In this problem, we will consider how the rental price of capital Rt and the wage rate we are determined under the assumptions of the Solow growth model. Suppose there exists a representative firm in this economy with Cobb-Douglas production function given by Y = K L-, and that the price of its output P has been normalized to 1. a) Write out the firm's profit function. (Hint: think about what total revenues and total costs are if...
1) Decreasing returns to scale may occur as increasing the amount of inputs used A) increases specialization B) may cause coordination difficulties. C) always increases the amount of output produced D) increases efficiency. 2) Which of the following statements is NOT true? A) AFC = AC - AVC C) AVC = wage/MPL B) AC = AFC + AVC D) C=F-VC 3) The more elastic the demand curve, a monopoly A) will have a larger Lemer Index. will face a lower...
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