Bart and Lisa are both optimizing consumers in the market for shirts and hats, where they pay $100 for a shirt and $50 for a hat. Bart buys 8 shirts and 4 hats, while Lisa buys 6 shirts and 12 hats. From this information, ignoring the minus sign, we can infer that Bart's marginal rate of substiution is _________ hats per shirt, while Lisa's is __________ hat's per shirt
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- Megan is a college student who consumes food and transportation. Last year, she consumed 90 meals and purchased 100 gallons of gasoline per month. Suppose that last year the price of a meal was $5 and the price of a gallon of gasoline was $2.23. However, this year, the price of a meal is $6 and the price of a gallon of gasoline is $3.92. As a result, Megan consumes 100 meals and 80 gallons of gasoline. For this example, assume Megan's utility this year is the same as her utility last year (and that her preferences have not changed). Calculate a Laspeyres cost-of-living index for Megan using 100 as the base for last year. In particular, the Laspeyres index for this year is nothing. (Enter your response rounded to two decimal places.)One type of systematic error arises because people tend to think of benefits in percentage terms rather than in absolute dollar amounts. As an example, Samir is willing to drive 20 minutes out of his way to save $4 on a grocery item that costs $10 at a local market. But he is unwilling to drive 20 minutes out of his way to save $10 on a laptop that costs $400 at a local store. In percentage terms, how big is the savings on the grocery item? On the laptop? In absolute terms, how big is the savings on the grocery item? On the laptop? If Samir is willing to sacrifice 20 minutes of his time to save $4 in one case, shouldn’t he also be willing to sacrifice 20 minutes of his time to save $10?Let’s use the Fisher effect to use two known values to learn about the unknown third one. Consider the table, with some values given and some missing. ?i ??Eπ ?EquilibriumrEquilibrium 5% 2% 3% 5% 1% ___ 5% ___ 8% ___ 10% 2% 6% ___ 2% 0% -2% ___ Compute the missing values in the table. ?=5%,??=1%,?Equilibrium=i=5%,Eπ=1%,rEquilibrium= % ?=5%,?Equilibrium=8%,??=i=5%,rEquilibrium=8%,Eπ= % ??=10%,?Equilibrium=2%,?=Eπ=10%,rEquilibrium=2%,i= % ?=6%,?Equilibrium=2%,??=i=6%,rEquilibrium=2%,Eπ= % ?=0%,??=−2%,?Equilibrium=
- An individual is faced with a choice of buying housing in one of two markets; the private market where he may buy any amount of housing he pleases at the going price, and the public housing market where he will be offered, on a take-it-or-leave-it-basis, a particular amount of housing at a price lower than that which he would pay for it on the private market. Will he necessarily choose the public housing? If so, may we conclude that he will consume more housing than he would have purchased had he been forced to buy it on the private market? (With thanks to Dr Leslie Rosenthal.)If the consumer thinks that (x₁,x2) is at least as good as (y₁.42) and that (y₁y2) is at least as good as (x₁,x2), we can conclude that (look at the following options)In a simple exchange economy, Alex and Sid both have identical lexicographic preferences with a preference for maple syrup. This means that when comparing any two bundles, each of them would prefer the one with the larger amount of maple syrup regardless of the amount of poutine in those bundles. If the two bundles have identical amounts of maple syrup, then they would choose the one with a larger amount of poutine. The total amount of maple syrup in this economy is 15, and there are 21 plates of poutine. Describe the contract curve in this economy and justify your answer.
- Suppose that each week Fiona buys 16 peaches and 4 apples at her local farmer's market. Both kinds of fruit cost $1 each. From this we can infer that: If Fiona is maximizing her utility, then her marginal utility from the 16th peach she buys must be greater than her marginal utility from the 4th apple she buys. Fiona is not maximizing her utility. If Fiona is maximizing her utility, then her marginal utility from the 16th peach she buys must be equal to her marginal utility from the 4th apple she buys. The law of diminishing marginal utility does not hold for Fiona.. Jenna and Walter are on a road trip across the country. They both say that they get 25 utils from peanut butter sandwiches and 25 utils from trail mix. Knowing this, we can conclude that Jenna a. gets the same satisfaction from peanut butter sandwiches that Walter does. b. gets more satisfaction from trail mix than Walter does. c. gets more satisfaction from trail mix than from peanut butter sandwiches. d. and Walter are both indifferent between other food than peanut butter sandwiches or trail mix. e. and Walter will consume the same amount of peanut butter sandwiches and trail mix on the road trip.Vilfredo has complete and transitive preferences on cars. We know that he prefers a Hyundai Sonata to a Mazda 3, and that he finds a Mazda 3 at least as good as a Honda Civic. Can we conclude that he prefers a Hyundai Sonata to a Honda Civic? Yes No
- 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 allocationsSuppose that there are only 10 individuals in the economy each with the following utility function over present and future consumption: U (c1, c2) = c1 +C2, where ci is consumption today, and c2 is consumption tomorrow. Consumption tomorrow is less valued because people are impatient and prefer consuming now rather than later. Buying 1 unit of consumption today costs $1 today and buying 1 unit of consumption tomorrow costs $1 tomorrow. All individuals have income of $10 dollars today and no income tomorrow (because they will be retired) but they can save at the market interest rater> 0. How much of his or her income will an individual consume today given that the interest rate is 0.3? O. Less than half of it O. Exactly half of it O. The individual is indifferent between consuming today and saving O. More than half of it O. All of it O. None of it How much of his or her income will an individual consume today given that the interest rate is 0.5? O. Less than half of it…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?