Katalin has the utility of U(x 1, x 2 ) = max{3x 1, 4x 2 } of purchasing products 1 and 2. Katalin has an initial endowment of ( ω 1,ω 2 ) = (40,40), and initial prices are 2 and 5 for products 1 and 2, respectively. When prices change and 3$ for both products, find the pure substitution, income, and endowment effects for Katalin
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Katalin has the utility of U(x 1, x 2 ) = max{3x 1, 4x 2 } of purchasing products 1 and 2. Katalin has an initial endowment of ( ω 1,ω 2 ) = (40,40), and initial prices are 2 and 5 for
products 1 and 2, respectively. When prices change and 3$ for both products, find the pure substitution, income, and endowment effects for Katalin.
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- Marina decides to purchase a ring made from an alloy composed exclusively of gold (G) and titanium (T). The price of gold is $60 per gram, and the price of titanium is $30 per gram. Her total budget for the ring is $600. Her utility function is given by U(G,T) =GT. Suppose the price of titanium falls to $20 per gram. At the final basket, the optimal amount of titanium is()grams.A consumer has a perfect complements utility function, where she prefers to have one unit of H with each unit of G. Also, she has an income of $210. Assume that the price of H is $8 and the price of G is $6. What is the consumer's optimal choice for good G*? Group of answer choices 11 12 15 16A consumer is willing to trade 4 units of x for 1 unit of y when she is consuming bundle(8, 1). She is also willing to trade in 1 unit of x for 2 units of y when she is consumingbundle (4, 4). She is indifferent between these two bundles. Assuming that the utilityfunction is Cobb-Douglas of the form U(x,y)=xα yβ, where α and β are positiveconstants, what is the utility function for this consumer?
- Bob has a utility function U(x, y) = √x1 + 0.8√x2 + 0.64√x3 over his incomes x1, x2, x3 in the next three years. This function is an example of (A) expected utility; (B) quasi-hyperbolic utility function; (C) discounted utility; (D) none of the above. . Which of the following preferences agree with Bob’s utility? (A) (9, 10, 11) ≻ (9, 10, 12); (B) (9, 10, 11) ≻ (11, 10, 9);(C) (9, 10, 11) ≻ (9, 11, 10); (D) none of the above. Bob’s utility function implies (A) time stationarity; (B) transitivity; (C) impatience; (D) all of the above.A young consumer has to decide how to spend his spare time. He can either watch movies x or play online video games y. Each round of the game cost 20 and each movie cost 20. He has 200 dollars to spend each week. In addition, he has time constraint. He can spend no more than 20 hours for entertainment each week. A movie last 2 hours and playing a game takes about 1 hour. His utility is given by √xy. Use the Kuhn-Tucker condition to find his optimal choice. (Assume that x and y can take any value, not necessarily integers.) Does the solution satisfy the necessary and sufficient condition for a maximum?Assuming, there are two goods: coffee and tea. Your budget is 18000 KRW per day. The price of coffee pc ranges between 0 KRW to 6000 KRW The price of tea pt ranges between 0 and 5000 KRW a) Specify your indifference map of your preference relation b) Specify your utility function c) Specify a budget constraint based on the assumption above d) specify your own-price offer curves for coffee e) specify your curve Engel curve for coffee
- Suppose that consumer I has the utility function u(x,y) = x + 2y and consumer II has the utility function u(x,y) = min{x, 2y}. Consumer I initially has 12 units of y and zero units of x, while consumer II has 12 units of x and zero units of y. It is correct to state that, in competitive equilibrium, the agents' consumption basket will be:Assuming, there are two goods: Coffee and Tea. Your budget is 18,000 KRW per day. The price of Coffee ranges between 0 KRW to 6,000 KRW. The price of Tea ranges between 0 and 5,000 KRW Specify your indifference map of your preference relation Specify your utility function Specify a budget constraint based on the assumption above Specify your own-price offer curves for coffee Specify your curve Engel curve for coffeeIt is given that a typical consumer has a well-behaved preference structure for his consumption bundle, which includes only two goods, A and B. Further, assume that commodity A is normal and commodity B is Giffen. By keeping commodity A on the x-axis and commodity B on the y-axis, you are required to show the price decomposition for commodity B when $PB decreases exogenously relative to $PA.
- If a competitive consumer chooses consumption program x=(20,5,7) at competitive prices p=(2,1,5), consumption program y=(15,10,6) at competitive prices p’=(3,1/2,5) then under the usual assumptions, A) violates the weak axiom of revealed preference (WARP) B) doesn’t violate WARP and exhibit direct revealed preference for x with respect to y. C) doesn’t violate WARP and exhibit direct revealed preference for y with respect to x. D) doesn’t violate WARP and doesn’t exhibit any direct revealed preference between x and y. E) NOPACAssume you spend your entire income on two goods X & Y with prices given as PX & PY, respectively. Prices and income (I) are exogenous and positive. Given that U= X2Y 2 , derive the Hicksian demand function for good Y.alculate the marginal rate of substitution (MRS12) for the following utility function: U(q1,q2)= 60q1+ 0.2(q2)2 What is the value of MRS12 at bundle (4, 3)?