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Suppose that Evelyn’s utility function is given as: U(x,y) = xy
Evelyn has an income of Php 100. For simplicity purposes, the prices of both goods are equal
to one.
Following the change in the
Step by step
Solved in 3 steps with 2 images
- Greg has the following utility function: u = x1^0.361x 2^0.642. He has an income of $74.00, and he faces these prices: (p1, p2) = (9.00, 8.00). Suppose that the price of x1 increases by $1.00. Calculate the equivalent variation for this price change.Greg has the following utility function: u = x49x9.51 He has an income of $75.00, and he faces these prices: (P1, P2) = (4.00, 1.00). Suppose that the price of x1 increases by $1.00. Calculate the compensating variation for this price change. Give your answer to two decimals. $Greg has the following utility function: u=x10.75x20.25. He has an income of $68.00, and he faces these prices: (p1,p2)=(8.00,4.00). Suppose that the price of x1 increases by $1.00. Calculate the equivalent variation for this price change. $
- x9.359.65 He has an income of $72.00, and he faces these prices: (p1, p2) = (2.00, 7.00). Greg has the following utility function: u = Suppose that the price of x1 increases by $1.00. Calculate the compensating variation for this price change. Give your answer to two decimals. $Find the marginal utility (MU) and marginal rate of substitution (MRS) of following utility functions. 1. U(x1,x2)=ln(x1)+x2,findMUx1,MUx2,andMRS(x1,x2) 2. U(x1,x2)=(2x21+x32)1/2,findMUx1,MUx2,andMRS(x1,x2)Greg has the following utility function: u = x0.47x953. He has an income of $52.00, and he faces these prices: (p₁. p₂) = (1.00, 3.00). Suppose that the price of x, increases by $1.00. Calculate the equivalent variation for this price change.
- Questions 1. Will's utility from vacations (91) and meals (92) is given by the function U(V, M) = 91 x 92. Last year, the price of vacations was $200 and the price of meals was $50. This year, the price of meals rose to $75, while the price of vacations remained the same. Both years, Will had an income of $1500. (a) What is the compensating variation for the price change in meals? (b) What is the equivalent variation for the price change in meals?Calculate the marginal rate of substitution (MRS12) for the following utility function: U(q1, 92) = (91 + 9q2)². What is the value of MRS12 at bundle (5, 5)? Please round your answer to two decimal places if necessary.Assume, as in Exercise 22.1, that a consumer has utility function F or fruit and chocolate. Determine the consumer's demand functions q1(P1, P2, M) and q2(P1, P2, M). Determine also It* in terms of P1, P2 and M. Find the indirect utility function and show that It* = 8Vj8M. Suppose, as before, that fruit costs $1 per unit and chocolate $2 per unit. If the income is raised from $36 to $36.5, determine the precise value of the resulting change in the indirect utility function. Show that this is approximately equal to (O.5)λ*, where λ* is evaluated at P1 = 1,P2 = 2 and M = 36. Exercise 22.1 A consumer purchases quantities of two commodities, fruit and chocolate, each month. The consumer's utility function is For a bundle (X1, X2) of X1 units of fruit and X2 units of chocolate. The consumer has a total of $49 to spend on fruit and chocolate each month. Fruit cost $1 per unit and chocolate costs $2 per unit. How many units of each should the consumer buy…
- 2nd attempt Greg has the following utility function: u = x0.55x0.45. He has an income of $96.00, and he faces these prices: (P1, P2) (10.00, 8.00). Suppose that the price of x₁ increases by $1.00. Calculate the compensating variation for this price change. Give your answer to two decimals. $ =Anna has an income of 1000 euros and utility function U(x,y)=x²y³. The prices of the two goods are P₁=5 and Py-20. a) Define the budget constraint and represent it graphically. (Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should begiven to Eren to offset his change un utility due to the price increase of an expensivemeal. Calculate the compensative variation (CV).
