Elizabeth Swann and her husband consume wine (W) and books (B). Elizabeth's utility function is UE(W, B) = W. Her husband's utility function is U endowment is 16 bottles of wine and 5 books and her husband's endowment and 14 books. In the Edgeworth box, Elizabeth's consumption is measured from the lower le husband's from the upper right corner of the box; the wine is on the horizont the vertical axis. Therefore, in an Edgeworth box for Elizabeth and her husband, any allocation or False?

Elizabeth Swann and her husband consume wine (W) and books (B). Elizabeth's utility function is UE(W, B) = W. Her husband's utility function is U endowment is 16 bottles of wine and 5 books and her husband's endowment and 14 books. In the Edgeworth box, Elizabeth's consumption is measured from the lower le husband's from the upper right corner of the box; the wine is on the horizont the vertical axis. Therefore, in an Edgeworth box for Elizabeth and her husband, any allocation or False?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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3. Christina loves pizza and hates burger. Her utility function is U(p – b) = p – 6", where is the number of pizzas she consumes and b is the number of burgers she consumes. John likes both pizza and burger. His utility function is U(p, b) = p + 2\b Christina has an initial endowment of no pizzas and 8 burgers. John has an initial endowment of 16 pizzas and 8 burgers. a. Graph the initial endowment and label it E b. If Christina hates burgers and John likes them, how many burgers can Christina and John be consuming at a Pareto optimal allocation? What is John's marginal utility for pizzas and burgers? Mark the locus of Pareto optimal allocations of pizzas and burgers between Christina and John on the grapsh above.
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A and B consume only two goods, cider (C) and dumplings (D). A has an initial endowment of 10 bottles of C and 30 of D. Bob has an initial endowment of 50 bottles of cider and 50 dumplings. Alice’s utility function is uA(CA,DA) = 9ln(CA) + 10ln(DA), where CA and DA represent consumption of C and D, respectively. B’s utility function is uB(CB,DB) = CBXDB, where CB and DB denote B's consumption of C and D. a) Find the competitive equilibrium, i.e. the price ratio, of this exchange economy and the resulting equilibrium allocation. b) Find the expression of the contract curve for this economy and use your answer to check that the equilibrium allocation you found in (b) is indeed Pareto optimal.
4. Aaron and Burris have the following utility functions over two goods, x and y. Aaron’s utility function: UA(xA, yA) = min{xA/3, yA} Burris’s utility function: UB(xB, yB) = 9xB + 3yB Aaron’s endowment is eA = (2, 4). Burris’ endowment is eB = (10, 8). In an Edgeworth Box diagram, show which allocations are in the core. Solve for the set of Pareto optimal allocations (i.e. the contract curve) in the Edgeworth Box. Illustrate the contract curve in an Edgeworth Box diagram. Let good y be the numeraire (i.e. set py = 1 and let px = p). Solve for the Walrasian competitive equilibrium allocation and price ratio.
= 5. Consider an economy with a single (representative) agent with utility function u(x, lc) = x¹/514/5 and an endowment of 0 units of x and 10 units of time, which the agent can use as leisure (c) or labor (L) (i.e., L + lc = 10). The agent owns a firm that produces good x using L as an input, with technology of production given by x(L) = 3√L. Let the price of x be p = 1 and let w denote the price of time (i.e., the price of leisure and the wage). Find the competitive price of time w and the competitive allocation.
Note: Dashed drop lines will automatically extend to both axes. OFFEE (Millions of pounds) 32 28 COFFEE (Millions of pounds). 24 20 16 0 32 28 24 20 16 0 PPF 4 12 PPF 0 The following graph shows the same PPF for Sylvania as before, as well as its initial consumption at point A. As you did for Candonia, place a black point (plus symbol) on the following graph to indicate Sylvania's consumption after trade. (?) 4 O True 8 O False Candonia 4 12 20 16 GRAIN (Millions of pounds) 24 Sylvania 12 20 16 GRAIN (Millions of pounds) 28 24 32 28 Consumption After Trade 32 (? + Consumption After Trade True or False: Without engaging in international trade, Candonia and Sylvania would have been able to consume at the after-trade consumption bundles. (Hint: Base this question on the answers you previously entered on this page.)
Knowing that Caesar's preferences over apples (X) and oranges (Y) can be represented by the utility function U = 2X0.5y0.5, select the correct option about the bundles on the graph: ORANGES A D ● B E APPLES Caesar's ranking is, definitely, E>D> C>A-B. Caesar's ranking is, possibly, E> A-B>D>C. O We do not have enough information to know how Caesar ranks these bundles. O A and C might be on the same indifference curve.
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