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tion for a good is given by q-fk)- k++2(kl2. Calculate the elasticity of substitution.
2. Marginal products, RTS, and elasticity of substitution: Consider the following production function: q=k *11/4 a....
2. Marginal products, RTS, and elasticity of substitution: Consider the following production function: q=k *11/4 a. For some w, y, use the Lagrangean method to derive demand functions by finding the cost-minimizing combinations of k and I in terms of q, w, and y (so the cost function is the objective function, and the production function is the constraint). (10 points) b. What is the rate of technical substitution (RTS) for this function? (5 points) C. Presume that the firm...
Suppose a production function is given by F(K, L) = KL2 ; the price of capital is $10 and the price of labor is $15. Wha...
Suppose a production function is given by F(K, L) = KL2 ; the price of capital is $10 and the price of labor is $15. What combination of labor and capital minimizes the cost of producing any output? To produce a given level of output q, how many units of L and K are needed? Express the optimal inputs choices L(q) and K(q) as functions of the level of output q
2. For this problem you will analyze the elasticity of substitution and the isoquant graphs for...
2. For this problem you will analyze the elasticity of substitution and the isoquant graphs for the following produc- tion function F(K.L) 2K2/L/3 (a) Graph the isoquant for F(K,L) that represents an output of 8. Be sure to show your work and label the axes clearly. Also, two points should be clearly labelled. (3 points) 10 9 7 6 5 4 3 2 6 7 89 10 2 3 4 5 (b) What is the marginal rate of technical substitution...
2. Demand and supply equations for Good X is given as: Demand: P=6 - (1/50) Q...
2. Demand and supply equations for Good X is given as: Demand: P=6 - (1/50) Q and Supply: P= 1 + (1/100) Q [P: Price, Q: Quantity] i. Given the above information find the equilibrium price and quantity for Good X. ii. What is the point elasticity of demand at equilibrium? Is it elastic, inelastic or unitary elastic? iii. What is the point elasticity of supply at equilibrium? Is it elastic, inelastic or unitary elastic? iv. If the price increases...
3. Calculate th elasticity of substitution for the production function
3. Calculate th elasticity of substitution for the production function
The demand curve for a good is Q= 1000-2p squared What is the elasticity at the...
The demand curve for a good is Q= 1000-2p squared
What is the elasticity at the point
p=$10.00 and Q=800?
XText Question 1.5 The demand curve for a good is a-1,000-2p What is the elasticity at the point p $10.00 and Q 800? The elasticity of demand is ε-Π (Enter your response rounded to three decimal places and include a minus sign)
4. Given the estimated demand function for good 1: Q = 50 - 4P,-3.2P, + 0.017,...
4. Given the estimated demand function for good 1: Q = 50 - 4P,-3.2P, + 0.017, where P, and P, are prices for good 1 and 2, respectively, and Y is income. (a) (2 points) Are good 1 and good 2 complements or substitutes? Why? (b) (3 points) Calculate the cross-price elasticity of demand for good 1, with respect to the price of good 2, given P, = $1.20, P, = 3.50, and Y = $15,000.
The demand function of a good is Q = 100 – 2p. What is the elasticity...
The demand function of a good is Q = 100 – 2p. What is the elasticity at the point p=10 and Q=800?
Derive the elasticity of substitution for the Cobb-Douglas production Fonction. f(L,K) = ALαKβ
Derive the elasticity of substitution for the Cobb-Douglas production Fonction. f(L,K) = ALαKβ
2. A company is producing toasters. Its production function is given by qf(L, K) KL2. The...
2. A company is producing toasters. Its production function is given by qf(L, K) KL2. The company wants to produce 1,000 toasters per hour and the price of capital is $10 per hour. dq 2KL and MP a) The company is considering building a factory in Country A where the price of labor is $5 per hour. What combination of labor and capital minimizes the company's cost in Country A? b) The company is also considering building a factory in...
2. Marginal products, RTS, and elasticity of substitution: Consider the following production function: q=k *11/4 a. For some w, y, use the Lagrangean method to derive demand functions by finding the cost-minimizing combinations of k and I in terms of q, w, and y (so the cost function is the objective function, and the production function is the constraint). (10 points) b. What is the rate of technical substitution (RTS) for this function? (5 points) C. Presume that the firm...
2. For this problem you will analyze the elasticity of substitution and the isoquant graphs for the following produc- tion function F(K.L) 2K2/L/3 (a) Graph the isoquant for F(K,L) that represents an output of 8. Be sure to show your work and label the axes clearly. Also, two points should be clearly labelled. (3 points) 10 9 7 6 5 4 3 2 6 7 89 10 2 3 4 5 (b) What is the marginal rate of technical substitution...
2. Demand and supply equations for Good X is given as: Demand: P=6 - (1/50) Q and Supply: P= 1 + (1/100) Q [P: Price, Q: Quantity] i. Given the above information find the equilibrium price and quantity for Good X. ii. What is the point elasticity of demand at equilibrium? Is it elastic, inelastic or unitary elastic? iii. What is the point elasticity of supply at equilibrium? Is it elastic, inelastic or unitary elastic? iv. If the price increases...
3. Calculate th elasticity of substitution for the production function
The demand curve for a good is Q= 1000-2p squared
What is the elasticity at the point
p=$10.00 and Q=800?
XText Question 1.5 The demand curve for a good is a-1,000-2p What is the elasticity at the point p $10.00 and Q 800? The elasticity of demand is ε-Π (Enter your response rounded to three decimal places and include a minus sign)
4. Given the estimated demand function for good 1: Q = 50 - 4P,-3.2P, + 0.017, where P, and P, are prices for good 1 and 2, respectively, and Y is income. (a) (2 points) Are good 1 and good 2 complements or substitutes? Why? (b) (3 points) Calculate the cross-price elasticity of demand for good 1, with respect to the price of good 2, given P, = $1.20, P, = 3.50, and Y = $15,000.
2. A company is producing toasters. Its production function is given by qf(L, K) KL2. The company wants to produce 1,000 toasters per hour and the price of capital is $10 per hour. dq 2KL and MP a) The company is considering building a factory in Country A where the price of labor is $5 per hour. What combination of labor and capital minimizes the company's cost in Country A? b) The company is also considering building a factory in...
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