Consider a two input firm which faces an aggregate technology for perfect compliments of y=min(3x1,x2). a....
Consider a two input firm which faces an aggregate technology for perfect compliments of y=min(3x1,x2). a. Plot isoquants for y=3,6 and 9 b. What are the returns of scale for this production function? c. For all possible prices on output, p, and on inputs, w1 and w2, are their price combinations for which a profit maximizing firm would not be able to select a price maximizing quantity (or at least one greater than 0)? Give a restriction on prices such that a profit maximizing firm will be able to solve their problem. What are the solution(s) and level of profits for such a firm. d. Suppose we are looking to the solve the cost minimization for producing 3 units of output. Find x1 and x2 as a function of w1 and w2 as well as the level of cost for each price combination. Show graphically why your solution makes sense
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Consider a two input firm which faces an aggregate technology
for perfect compliments of y=min(3x1,x2). a....
Consider a firm which produces a good, y, using two factors of production, xi and x2. The firm's production functio...
Consider a firm which produces a good, y, using two factors of production, xi and x2. The firm's production function is 1/2 1/4 = xi X2. (4) Note that (4) is a special case of the production function in Question 1, in which 1/4 1/2 and B a = 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 given factor...
Suppose that Jennifer produces good y by using input xi and x2. The production function which...
Suppose that Jennifer produces good y by using input xi and x2. The production function which Jennifer faces is: y = x} + x3 The cost for every unit of xı is wi and the cost for every unit of x2 is w2. There is a fixed cost component F, which also forms a part of her total cost. (a) Write down the cost minimization problem. Solve this problem and express X1/X2 as a function of w2/w1.
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...
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 f(x1, x2) = x11/2 + x21/2. The price of input 1 is 1 and the price of input 2 is 2. The price of output is 10. (d) Does this production function exhibit increasing, decreasing or constant returns to scale? (e) Solve the firm’s cost minimization problem. Derive the firm’s cost function c(y). (f) Find the profit-maximizing choice of inputs x1* and x2* and...
Suppose that a firm has the production function (1) Draw an isoquant for f(x1,x2) = 10....
Suppose that a firm has the production function (1) Draw an isoquant for f(x1,x2) = 10. (5 points) (w1, w2) respec- (2) Suppose that the price of product is p, and that the prices of factors are tively. Find the factor demand function ri(w, w2, p), x1(w1, w2, P), the supply function y(w1, W2, P), and the profit function T(w1, w2, p). (10 points)
Suppose that a firm has the production function (1) Draw an isoquant for f(x1,x2) = 10....
TUTORIAL2 Chapter 7 Part 1 Key Concepts and Equations: Production Isoquant: shows all combinations of input...
TUTORIAL2 Chapter 7 Part 1 Key Concepts and Equations: Production Isoquant: shows all combinations of input quantities that yield the same level of output. Higher isoquant: higher level of output Marginal Rate of Technical Substitution: MRTS is the slope of the isoquant at any input combination. It tells us the rate at which we must increase the qty of input 2 per unit decrease in qty of input 1. MRTS diminishes as we move down the isoquant from left to...
1. A firm has the production function y-Z1Z2 and faces input prices W1 6 and w2-...
1. A firm has the production function y-Z1Z2 and faces input prices W1 6 and w2- a) What is the equation of the OEP? b) Is this production function homothetic?
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...
a profit maximizing firm has a technology with the production function f(x1,x2) =x1^0.5 x2^0.5 can only...
a profit maximizing firm has a technology with the production function f(x1,x2) =x1^0.5 x2^0.5 can only use 4 units of x2 in the short run. what is the optimal amount of x1 to use in the short run if the price of x1 is $1 and price of output is $13 .how much output does the firm make ? sketch 2 isoquants on same axis for production function f(x,y) = min (y,x^2)
TUTORIAL2 Chapter 7 Part 1 Key Concepts and Equations: Production Isoquant: shows all combinations of input...
TUTORIAL2 Chapter 7 Part 1 Key Concepts and Equations: Production Isoquant: shows all combinations of input quantities that yield the same level of output. Higher isoquant: higher level of output Marginal Rate of Technical Substitution: MRTS is the slope of the isoquant at any input combination. It tells us the rate at which we must increase the qty of input 2 per unit decrease in qty of input 1. MRTS diminishes as we move down the isoquant from left to...
Consider a firm which produces a good, y, using two factors of production, xi and x2. The firm's production function is 1/2 1/4 = xi X2. (4) Note that (4) is a special case of the production function in Question 1, in which 1/4 1/2 and B a = 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 given factor...
Suppose that Jennifer produces good y by using input xi and x2. The production function which Jennifer faces is: y = x} + x3 The cost for every unit of xı is wi and the cost for every unit of x2 is w2. There is a fixed cost component F, which also forms a part of her total cost. (a) Write down the cost minimization problem. Solve this problem and express X1/X2 as a function of w2/w1.
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...
Suppose that a firm has the production function (1) Draw an isoquant for f(x1,x2) = 10. (5 points) (w1, w2) respec- (2) Suppose that the price of product is p, and that the prices of factors are tively. Find the factor demand function ri(w, w2, p), x1(w1, w2, P), the supply function y(w1, W2, P), and the profit function T(w1, w2, p). (10 points)
Suppose that a firm has the production function (1) Draw an isoquant for f(x1,x2) = 10....
TUTORIAL2 Chapter 7 Part 1 Key Concepts and Equations: Production Isoquant: shows all combinations of input quantities that yield the same level of output. Higher isoquant: higher level of output Marginal Rate of Technical Substitution: MRTS is the slope of the isoquant at any input combination. It tells us the rate at which we must increase the qty of input 2 per unit decrease in qty of input 1. MRTS diminishes as we move down the isoquant from left to...
1. A firm has the production function y-Z1Z2 and faces input prices W1 6 and w2- a) What is the equation of the OEP? b) Is this production function homothetic?
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...
TUTORIAL2 Chapter 7 Part 1 Key Concepts and Equations: Production Isoquant: shows all combinations of input quantities that yield the same level of output. Higher isoquant: higher level of output Marginal Rate of Technical Substitution: MRTS is the slope of the isoquant at any input combination. It tells us the rate at which we must increase the qty of input 2 per unit decrease in qty of input 1. MRTS diminishes as we move down the isoquant from left to...
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