Given the utility function of a consumer for the goods x and y, U = (r +2)(y+1) and the prices of goods are P, = 4 TL and P, = 6 TL while the consumer's budget is B = 130TL (Note: There are 5 questions in the test regarding the information given above) Which of the following is Lagrangian function of the above problem to maximize utility? Lütfen birini seçin: O a. Z = (x+ 2)(y + 1) + A(130 – 4r 6y) O b. Z = 130 – 4x - 6y- N[(x + 2)(y + 1)] O c. Z = (r + 2)(y + 1) – X(130 – 4x - 6y) O d. Z = (x +2)(y + 1) + \(130 + 4x + 6y)
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- 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?A consumer utility function is U=(x1,x2) Where X1 is the quantity of good 1 that is bought, X2 is the quantity of good 2 that is bought. The price of good 1 is $10 and the price for good 2 is $2. If the consumer's income is $100 what will the consumer's optimal utility level be? b. Using Lagrange multilplier method. optimise the utility function x0.25 y0.25 subject to the budget constraint 24=x/10+yGiven the utility function: U = X3/4 .Y1/4 Find out the optimal quantities of the two commodities using Lagrange method and simplified procedure, if it is given that price of X is Rs.6 and price of Y is Rs.3 and income is equal to Rs.120.
- 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.Albion is a company that produces bricks and cement in the UK. Their largest consumer is ConstrUK, a UK construction company. The manager of Albion has asked the research department to find out how sensitive ConstrUK’s demand for bricks is. The research department has estimated that ConstrUK’s preferences over bricks (x) and cement (y) can be described by the utility function where b =4. The price for one bag of cement is equal to £1. It is estimated that ConstrUK’s budget is £10,000. Find the price-consumption curve for bricks and the corresponding demand curve.Brit-Brick is a company that produces bricks and cement in the UK. Their largest consumer is ConstrUK, a UK construction company. The manager of Brit-Brick has asked the research department to find out how sensitive ConstrUK’s demand for bricks is. The research department has estimated that ConstrUK’s preferences over bricks (x) and cement (y) can be described by the utility function U(x,y) = x4/5y1/5 where x and y are measured in bags. The price for one bag of cement is equal to £1. It is estimated that ConstrUK’s budget is £10,000. Find the price-consumption curve for bricks and the corresponding demand curve. Note: The writing is clear and abbreviations are not allowed.
- Given the utility function: U = X3/4 .Y1/4 Estimate the demand functions of commodity X and commodity Y using Lagrange method, if it is given that price of X is Px and price of Y is Py and Income is M.The goal of the consumer is to maximize the total utility or satisfaction derived from their purchase choices, given the unique budget constraint. To calculate total utility of a given combination of T-shirts and movies, one would use the following approach: Group of answer choices For a given combination of T-shirts and movies, assign a number of utils to that combination. For a given combination of T-shirts and movies, survey a group of individuals to determine an average for utils to be assigned to the number of T-shirts and movies. Use utils as a measure of utility, assigning a specific number to T-shirts and movies, and then add those together. For a given combination of T-shirts and movies, use Google to identify the number of utils associated with the number of T-shirts and movies and then sum them.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 16
- Brit-Brick is a company that produces bricks and cement in the UK. Their largest consumer is ConstrUK, a UK construction company. The manager of Brit-Brick has asked the research department to find out how sensitive ConstrUK’s demand for bricks is. The research department has estimated that ConstrUK’s preferences over bricks (x) and cement (y) can be described by the utility function U(X,Y)=X1/2 Y1/2 where x and y are measured in bags. The price for one bag of cement is equal to £1. It is estimated that ConstrUK’s budget is £10,000. Find the price-consumption curve for bricks and the corresponding demand curve.Brit-Brick is a company that produces bricks and cement in the UK. Their largest consumer is ConstrUK, a UK construction company. The manager of Brit-Brick has asked the research department to find out how sensitive ConstrUK’s demand for bricks is. The research department has estimated that ConstrUK’s preferences over bricks (x) and cement (y) can be described by the utility function U(x,y)=xb/10y1-b/10 where b is 2, and where x and y are measured in bags. Example: if b=4, then . U(x,y)=x4/10y1-4/10=x2/5y3/5 The price for one bag of cement is equal to £1. It is estimated that ConstrUK’s budget is £10,000. Find the price-consumption curve for bricks and the corresponding demand curve.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) NOPAC