1. This question will let you examine/explore a more interesting utility func- tion than the simple example discussed in class as there will be both cross-price elas- ticity and an inferior good. Suppose you are told a consumer has the following utility function: U (99₂) = 9x + √9z+qz You should assume income is Y, the price of good x is P₂, and the price of good z is P₂. This question will ask about several concepts discussed in lecture. (a) What is the Marshallian demand for goods x and z? I.e. find (qq) for both interior solutions and corner solutions. Note: the outcome is "ugly" for the interior section and both corner should include constraints, i.e. limits using Y relative to f(P, P₂). Hint: if solving using MRS = MRT, can use this

1. This question will let you examine/explore a more interesting utility func- tion than the simple example discussed in class as there will be both cross-price elas- ticity and an inferior good. Suppose you are told a consumer has the following utility function: U (99₂) = 9x + √9z+qz You should assume income is Y, the price of good x is P₂, and the price of good z is P₂. This question will ask about several concepts discussed in lecture. (a) What is the Marshallian demand for goods x and z? I.e. find (qq) for both interior solutions and corner solutions. Note: the outcome is "ugly" for the interior section and both corner should include constraints, i.e. limits using Y relative to f(P, P₂). Hint: if solving using MRS = MRT, can use this

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

just do part c and explain it
E2
Refer to the graph below Quantity of Y 160 0 Multiple Choice The consumer's income is $1,000 Why doesn't the consumer choose the combination at point B O Quantity of X 200 O The marginal utility of Y exceeds the marginal uplity of X O The consumer is willing to give up more X for an additional unit of Y than must be given up given the relative prices of X and Y. The marginal utility per dollar spent on X exceeds the marginal utility per dollar spent on Y The consumer is willing to give up more Y for an additional unt of X than must be given up given the relative prices of X and Y
Answer the following short questions:a. Suppose that a consumer’s preferences between goods x andy are represented by the utility function u(x, y) = x^2 + 16xy + 64y^2. If these two goods have the same price, describe the optimal consumptionchoice of this consumer.b. Suppose that when the price of a good change, the incomeand substitution effects change the consumer’s demand for that goodin opposite directions.i. Is this good a normal or an inferior good? Explain.ii. Is this good a Giffen or an ordinary good? Explain.c. Is the following statement true or false? The differencebetween a monopolist’s marginal cost and its profit-maximizing price issmaller when the demand is more elastic.
In two commodities world, utility function for a consumer and her income are given respectively. 11 U = x2y2 I= 480 If the price of these goods are Px= 15 and P, = 60 what would be her demand for these two goods * =? and y =? If the price of first good P has increased from 15 to 60. To keep her utility fixed how much does she need to spend for these two goods at least. In other words what should be her minimum income.
Could you just do part c and explain.
5. Leila currently buys 6 trips using public transportation with a marginal utility of 2, and 4 trips using ride-share with a marginal utility of 8. Suppose that the price of a trip through public transport is 12 and the price of a trip through ride share is 56. Is Leila currently maximizing her utility? Explain why or why not. If not, what is the optimal action to improve her utility?
12) A consumer’s preferences are given by U(X,Y) = X0.6Y0.4. The price of X is 4, and the price of Y is 5. The consumer has an income of $2000.a) What is the utility maximizing choice of X and Y?b) How would the utility maximizing choice change if price of X falls to 3 because of a pricesubsidy?c) Given the answers to the previous parts plot a linear demand function for X.d) Show that the consumer would prefer the cash equivalent of the price subsidy in part b.
can you please explain question d for me and solve it
4. Tim wants to maximise his utility given his utility function of U(A, B) = A²B4. He faces the following prices and income: PA = 25; PB = 20; M = 250. However, a change in the price of good A to PA = 22 will change his optimal bundle. If he is only interested in being able to consume his original bundle of goods, how much income would he need after the price change? (a) Tim would require £54 less income (b) Tim would require £18.33 more income (c) Tim would require £10 less income (d) Tim would require £16.66 more income (e) Tim would require £16.66 less income
The table shows the total utility data for products S and T. Assume that the prices of S and T are $3 and $5, respectively, and that consumer income is $22. Total Utility 12 27 39 48 51 Units of S 1 2 3 4 5 Multiple Choice If the price of T decreases from $5 to $3, while the price of S and the consumer's income stay the same, then the utility-maximizing combination is such that the quantity of T increases from 2 to 4. Units of T 1 2 3 4 5 Total Utility 20 35 45 50 52 decreases from 4 to 3. stays the same at 2, but the consumer has $1 remaining. increases from 2 to 3, but the consumer has $1 remaining.
!