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- Suppose the marginal utiliy of a Coke is 15 utils and the price is $1. The marginal utility of a pizza is 20 utils and its price is $2. If you buy 1 unit each will you achieve consumer equilibrium? If not how can greater total equilibrium be obtained?Lisa consumes only two goods, pizzas and burritos. In equilibrium, her marginal utility per slice of pizza is 10 and her marginal utility per burrito is 8. Instructions: Enter your answer rounded to two decimal places. If a slice of pizza costs $3, then the price of a burrito must be $What can observing people’s actual choices tell us about their preferences? Whatis this approach called?
- Total Total Utility Utility 6 10 10 14 13 15 15 15 16 7 30. If the consumer has only $8 to spend, what would be the optimal consumption of both goods for this consumer? Githe O HD C Number of Colas 1 2 3 4 D 5 a. 4 colas and 2 burgers. b. 5 colas and 1 burger. c. 2 colas and 3 burgers. d. 4 colas and 4 burgers. MUC 6 4 3 2 1 MU/S 6 4 3 2 1 Number of Burgers 1 2 3 4 5 MUb wwwww 10 4 1 0 -8 MU/$ 5 2 0.5 0 -4Describe and graph your own example of a budget constraint using two goods (don’t forget to label your axes). In your example, make sure to state what the budget is, the price of the two goods, what the slope of the budget constraint equals (make sure to include the correct sign), and interpret what the slope represents.The following table shows the marginal utility per dollar of apples and pears for five consumers: Consumer Marginal Utility Per Dollar Apples Pears Darnell 8 5 Eleanor 7 8 Jacques 6 6 Kyoko 5 4.5 Musashi 4 4 Darnell, Eleanor, and Kyoko are not optimizing over their choice of fruit. In the following table, indicate which fruit each consumer should increase consumption of in order to achieve the optimal fruit consumption bundle. Consumer Apples Pears Darnell Eleanor Kyoko
- Mr. Chang can buy two goods- cake and juice. If he spends his entire income on cake, he can buy 30 cakes and if he spends his entire income on juice, he can buy 60 liters of juice. If the price of cake is $6/cake: What is the price of 1 liter of juice? Draw a neatly labeled diagram showing Mr. Chang’s possible consumer equilibrium clearly. If his income changes to $240, what would happen to Mr. Chang’s consumer equilibrium? Is he better off or worse off? Why? Indicate using a diagram.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…II. Your preferences are represented by the utility function U(x₁, x₂) = (x² − x²)0.5 for x₁ > 0, x₂ > 0, and x² > x².
- 1. Say that there are two goods in the world, books and video games. Say that we observed two of Jim's choices: he chooses bundle A from the budget set bounded by budget line 1, and the bundle B from the budget set bounded by budget line 2. video games B A budget line 2 budget line 1 books a) For each of the two goods, based on the diagram: is the good normal, inferior, or we can't say for sure? Is the good ordinary, Giffen, or we can't say for sure? Explain. b) For which of the two budget lines is the opportunity cost of a book higher and why? What does that statement mean in the context of this model?Suppose a consumer has income of 1000, and buys pizza and coke. The price of pizza is 100 and price of coke is 50. Draw a budget line that represents the set of bundles this individual can afford if they use all their income. (Put movies on the X axis). Label the places where the budget line intercepts each axis and the slope of the line. Suppose that in consumer equilibrium this individual consumes 7 pizza and 6 coke. What rules must hold in consumer equilibrium? Label this bundle in your drawing (call it point “A”). Draw an indifference curve associated with this bundle, and explain how its slope at the equilibrium point relates to the slope of the budget line. Consider the bundle 2 pizza and 8 coke. Label this point. What can you say about the slope of the indifference curve that passes through the point? (For example, is it bigger than, equal to, or smaller than -1?) Now suppose that income goes up to 15oo. Illustrate how the budget constraint will change. If both goods are…1.2 Ann and Bob each own 10 bottles of beer and, altogether, they own 20 bags of peanuts. There are no other people and no other goods in the economy, and no production of either good is possible. Using a to denote bottles of beer and y to denote bags of peanuts, Ann's and Bob's preferences are described by the following utility functions: UA (XA, YA) = TAYA and UB (XB, YB) = 2xB+ YB. In each of the following cases, determine the market equilibrium price ratio and allocation and depict the equilibrium in an Edgeworth box diagram. (a) Bob owns 20 bags of peanuts and Ann owns no peanuts. (b) Bob owns 15 bags of peanuts and Ann owns 5 bags. (c) Ann owns 20 bags of peanuts and Bob owns no peanuts.
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