1. General Equilibrium: a. Suppose that Eliza and Alexander are currently at point A. How many servings of tea and scones does each person have? (Note: Alexander's indifference curve is pink while Eliza's indifference curve is black). b. Suppose that Eliza leaves the room and that Alexander takes 4 cups of tea from her and leaves her 2 of his scones. Illustrate this reallocation in the Edgeworth Box diagram (label this point B). Is this a Pareto improvement? c. Show that a reallocation where Alexander takes 4 cups of tea and leaves Eliza only 1 scone is not a Pareto improvement. Label this new allocation point C. Alexander's Scones
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- 1. Suppose that there are two breakfast options, pancakes and waffles. Kwame only cares about the calories he gets from his breakfast he wants to consume as much as possible, no matter the food. Suppose that a waffle has thrice as many calories as a pancake. What do Kwame's indifference curves look like, illustrated with waffles on the y axis and pancakes on the x - axis?b) Suppose a household is faced with the choice between consuming gasoline (G) and all other goods (OG). Today the household consumes 800 liter of gasoline a year. Suppose then that a gasoline price increase is perfectly compensated by a wage increase. If the family followed the utility maximization model, how would tis affect their consumption of gasoline? Explain by using a figure.Bottles of water sell for 1 euro and slices of chocolate cake sells for 3 euros. Suppose Jack, whose preferences satisfy all of the basic assumptions of consumer choice theory, buys 5 bottles of water and one slice of chocolate cake every day. At this consumption bundle, his MRS of bottles of water for slices of chocolate cake is 3 (i.e. he is willing to give up 3 bottles of water to get an additional slice of cake). Which of the following is true? (Hint: draw this situation with bottles of water on the vertical axis and slices of cake on the horizonal axis). A. Jack could increase his utility by buying fewer bottles of water and more slices of cake. B. Jack could increase his utility by buying more bottles of water and less chocolate cake. C. Jack could not increase his utility because it is already at a maximum level. D. Jack could increase his utility by buying more bottles of water and more chocolate cake.
- 7.A college football coach says that given any two linemen A and B, he always prefers the one who is bigger and faster. Is this preference relation transitive? Is it complete? 8.Explain why convex preferences means that “averages are preferred to extremes. 9.If good 1 is a “neutral,” what is its marginal rate of substitution for good 2?Bottles of water sell for 1 euro and slices of chocolate cake sells for 5 euros. Suppose Jack, whose preferences satisfy all of the basic assumptions of consumer choice theory, buys 5 bottles of water and one slice of chocolate cake every day. At this consumption bundle, his MRS of bottles of water for slices of chocolate cake is 3 (i.e. he is willing to give up 3 bottles of water to get an additional slice of cake). Which of the following is true? (Hint: draw this situation with bottles of water on the vertical axis and slices of cake on the horizontal axis). Jack could not increase his utility because it is already at a maximum level. Jack could increase his utility by buying more bottles of water and less chocolate cake. Jack could increase his utility by buying more bottles of water and more chocolate cake. Jack could increase his utility by buying fewer bottles of water and more slices of cake.Suppose that as a consumer you have $34 per month to spend for munchies, either on pizzas which cost $6 each or on twinkies which cost $4 each. Suppose further that your preferences are given by the following total utility table. 1 2 3 4 5 6 7 TU for Pizza 60 108 138 156 162 166 166 TU for twinkies 44 76 100 120 136 148 152 First, graph the budget constraint with pizzas on the horizontal axis and twinkies on the vertical axis. What are the intercepts and slope of the opportunity cost? Express the budget constraint as an algebraic equation for a line. Next, should you purchase a twinkie first or a pizza first to get the “biggest bang for the buck”? How can you tell? (Hint: use the utility maximizing rule.) What should you purchase? Next, use the utility maximizing rule to identify the consumer equilibrium, that is, what combination of twinkies and pizzas will…
- Question 3 Mrs. Griffiths earns $5000 a week and spends her entire income on dresses and handbags, since these are the only two items that provide her utility. Furthermore, Mrs. Griffiths insists that for every dress she buys, she must also buy a handbag. - What is the algebraic equation for Mrs. Griffiths budget constraint if dresses cost $25 each and handbags cost $14 each? How many of each good will she buy and represent this on a budget line with handbags on the horizontal axis. - Draw an indifference curve showing the optimum choice. Label the optimum as point A. What would be the marginal rate of substitution at the point that corresponds to the optimal consumption choice? Interpret the marginal rate of substitution. - Suppose the price of a dresses increases to $200 and income decreases to $4200. What is the new algebraic equation for Mrs. Griffiths budget constraint? Show the impact of the new budget line relative to the original budget line. - What would be the new marginal…Let the following table represents the total utility of a given consumer, in the cardinal utility approach. Q 1 2 3 4 5 6 7 TUX 8 14 18 20 20 18 16 TUY 6 10 13 15 16 16 14 MUX MUY MUX/PX MUY/PY Calculate the MUX and MUY and fill the table in the 4th and 5th rows. If the two products (X&Y) are free goods how many of X and Y should the consumer take to maximize utility? What is the maximum utility of X and Y if they are free? Let now price of X is 4 birr per unit and price of Y is 2 birr per unit. Calculate MUX/PX and MUY/PY and fill the 6th and 7th row. Assuming the consumer has any amount of money (enough budget) how many of X and Y should the consumer buy, to maximize utility? What is the total utility of X and Y? Let now price of X is 4 birr per unit and price of Y is 2 birr per unit and budget of the consumer for consumption of X and Y is 20 birr. Given budget constraint how many of X and Y should the consumer buy to maximize utility?Robinson Crusoe lives in an island. There are onlytwo food sources in this island: coconut and berries. There is no money in the island but Robinsonuses his time to collect coconuts and berries. He sleeps 8 hours in a day. Collecting a coconut takes2 hours. Picking a pound of berries takes one hour. 1. Considering the food collection times as the prices in the island, write the budget line equationand draw Robinson’s budget line graphically. Specify the intercepts and the slope in the budgetline on the graph.Robinson falls from coconut tree and injures his leg. After the injury collecting coconut takes longer.He can only collect a coconut in 4 hours, but he can still pick berries at the same pace as before. 2. What happens to Robinson’s budget line? Show on the graph. Robinson’s injury makes him more sleepy. Now he sleeps 12 hours in a day. 3. What happens to Robinson’s budget line? Show on the graph.Two weeks after the injury, Robinson’s leg is slightly better, and he sleeps 8 hours…
- John likes Coca-Cola. After consuming one Coke, John has a total utility of 10 utils. After two Cokes, he has a total utility of 25 utils. After three Cokes, he has a total utility of 50 utils. Does John show diminishing marginal utility for Coke, or does he show increasing marginal utility for Coke? Supposethat John has $3 in his pocket. If Cokes cost $1 each and John is willing to spend one of his dollars on purchasing a first can of Coke, would he spend his second dollar on a Coke, too? What about the third dollar? If John’s marginal utility for Coke keeps on increasing no matter how many Cokes he drinks, would it be fair to say that he is addicted to Coke?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…Consider an economy composed of 16 consumers. Of these, 5 consumers each own one right shoe and 11 consumers each own one left shoe. Shoes are indivisible. Everyone has the same utility function, which is Min(2R, L}, where R and L are, respectively, the quantities of right and left shoes con sumed. A) (10%) Is the status quo (where each individual has his own shoe) Pareto efficient? If so, briefly explain why. If not, provide a Pareto improvement b) (10%) Characterize all Pareto efficient allocations