S An individual has a utility function as follows subject to the budget constraint; 6r+2y 110 i) Write down the Lagrangian function for this individual. (2 marks) (6 marks) Using Cramer's rule...
Solve Problem 2 1. A consumer maximizes his utility function, 122, subject to the budget constraint, 75x1 +150x2-525· (M-$75, P2-$150, M-$525). Set up the Lagrangian function and use the first-order and second-order conditions to find the values of x1 and x2 that solve the consumer's problem 2. This problem is an extension of Problem 1. Now, the consumer faces an additional constraint. Specifically, good 1 is rationed, and the consumer can buy no more than three units of that good....
A consumer must maximize utility, U-f(x.y), subject to the constraint that she spends all her income, M on purchasing two goods x, v. The unit prices of the goods, px and py respectively, are market determined and hence exogenous. (i) State the objective function, constraint, and choice variables of this problem (3 marks) (ii) Obtain the Lagrangean for this problem, using λ to represent the Lagrange multiplier. (3 marks) (i) Obtain the first order conditions of this problem in terms...
3. Suppose an individual has a utility function U=U(M,X)=10 MX^2, where U is her utility, M is her(daily) money income and x is her(daily) leisure hours. Each day, the individual needs 6 hours for sleeping and other essential personal matters 3. Suppose an individual has a utility function U = U(M,X) = 10 MX, where U is her utility, M is her (daily) money income and X is her (daily) leisure hours. Each day, the individual needs 6 hours for...
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...