Suppose that consumer is alway's ready to trade 4 units of X and 7 units of Y. Suppose also that Px 3,Py = 2 and I = 120. What would be the optimal consumption of X and Y at the equilibrium respectively?
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- Suppose that consumer uses 2 units of X and 5 units of Y always in fixed proportion. Suppose also that Px = 1. Py respectively? = 2 and I = 120. What would be the optimal consumption of X and Y at the equilibrium, 20, 50 40, 40 24. 60 50. 35Julian is interested in only two goods: good X and good Y and has M dollars to spend (and always spends it all). His uncle Paul is rich and he offered him 1000 dollars as a present but Julian did not take it and chose to just spend his own money. Julian's demand function for good X and the demand function for good Y are given respectively by XJ = 32800/(10Px + Py) and Y₁ = 3280/(10Px + Py). What is Julian's spending money "M"?Rafe is optimally choosing to consume 6 apples and 3 bananas. The prices of apples and bananas are p. = 7 and pb - 7. Which of the following utility functions over quantities of apples (a) and bananas (b) could represent Rafe's preferences? = u(a, b)-a4/5 61/5 Ou(a, b) = a¹/5 64/5 Ou(a, b)-a2/3 b1/3 Ou(a, b)-a¹/3 2/3
- Which is the correct answer ? Suppose there are 10 apples and 10 oranges in the economy. Joe is currently consuming 4 apples and 5 oranges, and Jane is consuming 6 apples and 5 oranges. At this allocation, Joe's marginal utility of apples is 3, and his marginal utility of oranges is 5. Jane's marginal utility of apples is 6, and her marginal utility of oranges is 10. The current price of apples is R4 per unit and the current price of oranges is R5 per unit. To reach a competitive equilibrium, the required price adjustment is: A. A decrease in the orange price relative to the apple price. B. A decrease in the apple price relative to the orange price. C. No change in the relative prices. D. An increase in both prices.Say that Laura (L), Maureen (M), and Carrie (C) are three individuals who are contemplating the purchase of some amount of good X. Units of X can be produced at a constant marginal cost of 24. The following equations show how the marginal benefit (M B) that each individual places on X varies with the quantity she consumes: L: MB(L) = 30 - X M: MB(M) = 24 - X C: (MB(C) = 20 - X (a) How much of this good should they purchase if X is a private good? (b) How much of this good should they purchase if X is a public good? (c) Construct a diagram to illustrate your answer to part b.Suppose that consumer has the following utility function: U (X. Y) = 4XY + 40X. Suppose also that P 10, Py = 20 and 1 respectively? %3D 80. What would be the optimal consumption of X and Y at the equilibrium. %3D 8, 0 6, 1 0, 4 4, 2
- A consumer is in equilibrium when Px = 7 and Py = 4, and he is consuming 40 units of good X and 80 units of good Y. If Py increases to Rs. 5, he moves to a new equilibrium where he consumes 50 units of good X. Beginning from the new equilibrium, if income increases by Rs 100 and the consumer decides to consume 65 units of good Y, what will be the shape of the ICC and the Engel curve? Calculate and explain. Also draw the demand curve for Y indicating the above scenario.Carol and Bob both consume the same goods in an economy of pure exchange. Carol is initially endowed with 9 units of good 1 and 6 units of good 2. Bob is initially endowed with 18 units of good 1 and 3 units of good 2. They both have the utility function U(x₁, x₂) = = $1), what will the equilibrium price of x1/³x/3. If we set good 1 as the numeraire (so that p₁ good 2 be?Smith and Jones are stranded on a desert island. Each has in her possession some slices of ham (H) and cheese (C). Smith prefers to consume ham and cheese in the fixed proportion of 2 slices of cheese to each slice of ham. Her utility function is given by Us = min(10H, 5C). Jones, on the other hand, regards ham and cheese as substitutes – she is always willing to trade 3 slices of ham for 4 slices of cheese, and her utility function is given by UJ = 4H + 3C. Total endowments are 100 slices of ham and 200 slices of cheese. a. Draw the Edgeworth Box diagram for all possible exchanges in this situation. What is the contract curve for this exchange economy? b. Suppose Smith’s initial endowment is 40 slices of ham and 80 slices of cheese (Jones has the remaining ham and cheese as her initial endowment). What mutually beneficial trades are possible in this economy and what utility levels will Smith and Jones enjoy from such trades? c. Now imagine a new endowment in which Smith has 60 slices…
- Kari and Hector both are interested in buying pizza slices for lunch. Kari's inverse demand for pizza slices is given by P = 250 – ()Q, where Pis the price of a pizza slice (in cents) and Q is the number of slices. Hector's inverse demand is given by P = 150 -)0. Suppose that Kari and Hector are the only two consumers in the market for pizza slices. Assuming that both Kari and Hector are consuming some pizza each, which of the following functions describes the relevant portion of the market demand curve? Choose one: O A. Q = 0 – (4 + 10)P - 400 В. Р%3D 400 + ( 4+10 C. P = – 400Q (4+10) O D. Q %3D 2,500 — (4 + 10)Р O OSuppose that the price of good X is $6 and the price of good Y is $2. You have $144 to spend and your preferences over X and Y are defined as: U(x,y) = x2/3y1/3 Calculate the marginal utility of X Calculate the Marginal Utility of Y What is the optimal Choice of X and Y given the PX = $6, PY = $2 and I = $144 If Income is increased to $150 calculate how the optimal choice of X and Y changeEconomics Summer break is approaching! Suppose you derive utility from days spent traveling on vacation domestically, D, and days spent traveling on vacation in a foreign country, F. Your utility function over these two “goods” is: U(D, F) : 4D0.25F 0.75 Let your budget constraint be I(D, F) = pDD + pF F; where I is your income, pD is the price of domestic travel per day, and pF is the price of foreign travel per day. a. Determine the demand functions for domestic travel and foreign travel. Make sure you show your work – show the steps used. b. Suppose that you’ve saved $800 for your summer travel, the price of domestic travel per day is $25 and the price of foreign travel per day is $100. How many days of each type of travel will you embark on? c. Illustrate the indifference curve, budget constraint, and the utility maximizing bundle associated with (b). Make sure you show the level of utility, the budget constraint intercepts, and the optimizing equilibrium. Your answer
