5. A person has utility function u(x, y) = 100xy + x + 2y. Suppose that...
1. Suppose a consumer has the utility function over goods x and y u(x,y) = 3x{y} (a) Setup the utility maximization problem for this consumer using the general budget con- straint. (2 points) (b) Will the constraint be active/binding? Is the sufficient condition for interior solution satisfied? Prove your answers. (4 points) (c) Solve the utility maximization problem for the Marshallian demand equations x* (Px. Py,m) and y* (Px.p.m). Show all of your work and circle your final answers. (7...
1. Suppose a consumer has the utility function over goods x and y u(x, y) = 3x}}} (a) Setup the utility maximization problem for this consumer using the general budget con- straint. (2 points) (b) Will the constraint be active/binding? Is the sufficient condition for interior solution satisfied? Prove your answers. (4 points) (c) Solve the utility maximization problem for the Marshallian demand equations x (Px, py,m) and y* (Px, Py,m). Show all of your work and circle your final...
1. Suppose a consumer has the utility function over goods x and y u(x,y) = 3x3 yž (a) Setup the utility maximization problem for this consumer using the general budget con- straint. (2 points) (b) Will the constraint be active/binding? Is the sufficient condition for interior solution satisfied? Prove your answers. (4 points) (c) Solve the utility maximization problem for the Marshallian demand equations x* (Px, Py,m) and y* (Px, Py,m). Show all of your work and circle your final...
Suppose a person has a utility function U(x1,x2)= xa1+xa2, which she maximizes subject to her budget constraint, px1 + qx2 = m, where p, q, m are all positive. Use the Lagrangian method to solve the maximization problem, and find the demand functions for the consumer. Show that the demand functions are homogeneous of degree zero in prices (p, q) and income (m) (2.5 marks) Suppose a person has a utility function U(x1, x2) = xq +xm, which she maximizes...
$4 then what is the Suppose a consumer had a utility function given by U-9x 2Y. If the price of Good X (Px) is $8 and the price of Good Y is utility maximizing quantity of Good X the consumer will purchase with a budget of $32? (Round to the nearest two decimal places if necessary) Answer 2 Suppose a consumer had a utility function given by Uxasy02. If the price of Good X (Px) is $10 and the price...
1.Suppose a consumer had a utility function given by: U= 9X + 2Y. If the price of Good X (Px) is $8 and the price of Good Y is $4then what is the utility maximizing quantity of Good X the consumer will purchase with a budget of $32? 2. Suppose an individual had a utility function given by: U=X^4Y^0.6 Calculate this individual's Marginal Rate of Substitution (MRSxy) when they have a bundle with 3 units of Good X and 1.8...
Jane’s utility function is U(x, y) = x^1/2y^1/2. Her income is $120. The price of x is 1 and the price of y is 2. How many units of x and y will Jane demand to maximize her utility? Please use the Lagrange method to solve for x and y.
An individual only purchases two goods X and Y . The person has an income of $100. The price of X is $2 per unit and the price of Y is $4 per unit. The utility function of this individual is U = 3X +5Y . This means the person has a constant marginal utility of 3 and 5 for goods X and Y , respectively. What bundle of goods X and Y should the person buy to maximize utility....
A comsumer has the utility function U(x,y)=e^( (y+√x) ^ 1/3 ) where x is the good in concern and y is the money that can be spent on all other goods(so the price of y is normalized to be 1). The income of this consumer is 100. (a)(10 pts)Derive the demand function of x for this consumer. (b)(5 pts)Calculate the price elasticity of the demand function in (a). Is it true that the absolute value if the elasticity of the...
Suppose an individual had a utility function given by: U=X^0.4*Y^5. The price of Good X is $5 and the price of Good Y is $1. The individual has a budget of $472.50. Solve the optimization condition for Y given the values above and fill in the blank below. Y = ____ X?