Compute the market demand function as a function of prices and income corresponding to a Leontev utility function U(x1,x2) = min (x1,2x2) and then compute the elasticity of demand with respect to own price and the elasticity with respect to income.
Compute the market demand function as a function of prices and income corresponding to a Leontev...
Compute the market demand function (as a function of prices and income y) corresponding to a Cobb-Douglas utility function with equal coefficients a1= 1/3 and a2=1/3. What are the demands at prices p1=p2=1 and income y=10? Suppose the price of good 1 rises to 2. Compute the price effects, substitution effects and income effects for the two goods.
compute the demand function corresponding to a leontief with equal coefficient a=b=2 and then compute the elasticity of demand with respect to prices
1. Consider the utility function: u(x1,x2) = x1 + x2. Find the corresponding Hicksian demand function. 2. For each of the three utility functions below, find the substitution effect, the income effect, and the total effect that result when prices change from p = (2,1) to p' = (2,4). Assume the consumer has income I = 20. (a) Before doing any calculation, make an educated guess about the relative magnitude of the three substitution effects and the three income effects...
1. Consider the utility function: u(x1,x2) = x1 + x2. Find the corresponding Hicksian demand function. 2. For each of the three utility functions below, find the substitution effect, the income effect, and the total effect that result when prices change from p =(2, 1) to p' = (2,4). Assume the consumer has income I = 20. (a) Before doing any calculation, make an educated guess about the relative magnitude of the three substitution effects and the three income effects...
The individual has a utility function of u(x1, x2) = min (4x1, 5x2) and faces prices p1=2 and p2=1. We know they consume 20 units of x2 and spend all their income. What is the demand function for x1?
1 for good x2 5. Given the market prices p a consumer with U(x1, x2) income $300. Now the price of good x changes. Find the uncompensated and compensated demand for good x 2 for good xı and p2 4x152i maximizing her utility with her
1. Consider the utility function: u(x1,x2) = x1 +x2. Find the corresponding Hicksian demand function 2. For each of the three utility functions below, find the substitution effect, the income effect, and the total effect that result when prices change from p = (2,1) to p' = (2,4). Assume the consumer has income I = 20. (a) Before doing any calculation, make an educated guess about the relative magnitude of the three substitution effects and the three income effects to be found below. (b)...
The choice of utility function depends on consumer preference which then determines the market behaviour of the market. Suppose the utility function of a consumer Cobb-Douglas utility function (CDF) U(x1, x2) = x13/5x13/5. If p1 = p2 = 2 and I = 14 Question 2 - (30 marks) Calculate and Illustrate the Income and Substitution Effect when the price of good 1 inctease by 100% (10 marks) Calculate the Income Elasticity of Demand for both goods when the income increase...
In the market of cars, there are two firms operating. The Industry Demand Curve is a function of the outputs being produced by both firms, and is given as: P = 240−(X1+X2), where X1 and X2 are the outputs of Firm 1 and Firm 2 respectively. The Total Cost faced by Firm 1 is TC1 = 20X1 and by Firm 2 is TC2 = 20X2. Each firm maximizes its own profit by choosing its own output, while taking the output...
Q2 For each of the following utility functions, derive the consumer's Marshallian demand functions, 21(P1, P2, B) and x (P1, P2, B), and calculate 11 (income elasticity of good 1), €1 (own-price elasticity of good 1), and €12 (cross-price elasticity). a U(x1, x2) = 21 b U(x1, x2) = 2.925-a for a € (0,1) CU(21, 12) = ln(21) + x2 where B > P2.