Using the CES function given as u = (ax" + byP)F a) Calculate the indirect utility function b) State the properties of the indirect utility function and the expenditure function.
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- An individual utility function is given by U(x,y) = x·y. Derive this individual indirect utility function. Using this individual indirect utility function, compute her level of utility when I = $800, px = $20 and py = $40. It is equal to?1. Prove if the indirect utility function is quasiconvex The indirect utility function: V(p,w) = w[P1^(p/p-1) + P2^(p/p-1)]^((1-p)/p)An individual has an income of 240 and finds his satisfaction by consuming goods x1 for 2$ and x2 for 3$. It is known that the individual utility function is as follows U (x1, x2) = x1²x2³ Determine the value of x1 and x2 for maximum individual satisfaction and calculate the value of utility.
- An equation that represents a utility-maximizing pattern of consumption of two goods, A and B, is ______________________.The relationship between a consumer’s income and the quantity of X, he consumes is given by the equation M=1000Q2Please find the utility maximizing level of consumption bundle if the income of the consumer is 120 TL. Show the utility maximizing level of consumption for each product on the table. Explain your answer by stating the utility maximizing rule.
- what is the derivative of the utility function UU = log (100-2PPii) + log(PPjj+PPdd) with respect to PPjj. Budget constaint XXii = 100 - 2PPiiSuppose that the indirect utility function takes the form(p, y) = f (p)y. What is the form of the expenditure function? What is the form of the indirect compensation function, p(p; q, y) in terms of the function f (.) and y?An individual´s utility function is U = x0.5 y0.5 While the budget constraint is x + 4y = 100 Derive the expenditure function. Calculate the CV and EV when the price of the good x increases from 1 to 4.
- Law of equi marginal utility is an important law of cardinal utility analysis. Explain this law with the help of its assumptions. Furthermore, there is a relationship between total and marginal utilities where they both pass through different stages when the consumer continues his or her consumption regularly. Elaborate.For the utility function (x^3)(z^2)Provide a positive linear transformation of the utility function, then, provide a nonlinear monotone transformation of the utility function.The reason the substitution effect works to encourage a consumer to buy less of a product when its price increases is: a. the product is now relatively more expensive than it was before. b. other products are now relatively more expensive than they were before. c. the real income of the consumer has been increased. d. the real income of the consumer has been decreased
