Armando consumes two goods: grapes and wine. He can purchase both at the market and also possesses a technology that allows him to costlessly convert any quantity of grapes into the same number of units of wine. This technology is not reversible: there is no quantity of wine that he can convert to grapes. Thus, for example, if he purchases 4 units of grapes and 3 units of wine, he could consume any bundle (4 — s, 3 + s) with s € [0,4]. Armando's utility from consuming x units of grapes and y units of wine is u(x, y) = x²y. For each of the following questions, you may use, without proof, any results from the lectures for this course. 1 11* Cil
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- 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?Alexi has a budget of $21 to spend on toaster and breads. He does not directly gain any utility from owining a toaster but for every slice of toasted bread he consumes he gain 2 units of utility, that is if he owns a toaster. Without the toaster, he gain 0 units of utility from consuming plain bread. Suppose the toaster has inferior quality and will break after toasting only 10 slices, then Alexi needs to buy a new one. The current market price for cheap toaster is $5 and the price for a single slice of bread is $1. Assume that Alexi aims to maximize consumer surplus. In a graph, draw total utility as a function of number of toasted slices, assuming that Alexi buys 1 toaster.Alexi has a budget of $21 to spend on toaster and breads. He does not directly gain any utility from owining a toaster but for every slice of toasted bread he consumes he gain 2 units of utility, that is if he owns a toaster. Without the toaster, he gain 0 units of utility from consuming plain bread. Suppose the toaster has inferior quality and will break after toasting only 10 slices, then Alexi needs to buy a new one. The current market price for cheap toaster is $5 and the price for a single slice of bread is $1. Assume that Alexi aims to maximize consumer surplus. Find Alexi's income-consumption curve for slices of bread for incomes between $0 and $21, assuming a price of $1 per slice.
- 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? Suppose that 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? *use tables and/or graphs if possible, please original workJanuary is choosing how much of pudding (measured on the horizontal axis) and how much of meat (measured on the vertical axis) to purchase with limited budget of $100. The price of pudding is $1.25 per pound and the price of meat is $3.75 per pound. Suppose the consumer wants to purchase the consumption bundle (20,40). This consumption bundle will be attainable O None of the other alternatives are correct O unattainable O efficientAt Annie's current level of consumption, let MUp denote Annie's marginal utility from an additional pound of pasta, and let MUb denote Annie's marginal utility from an additional loaf of bread. Thus, MUp/MUb represents the number of loaves of bread Annie has to give up in order to buy another pound of pasta. the number of loaves of bread Annie is willing to give up to have another pound of pasta. the number of pounds of pasta Annie has to give up in order to buy another loaf of bread. the number of pounds of pasta Annie is willing to give up to have another loaf of bread.
- Praxilla, who lived in ancient Greece, derivesutility from reading poems and from eating cucumbers.Praxilla gets 30 units of marginal utility from her firstpoem, 27 units of marginal utility from her secondpoem, 24 units of marginal utility from her third poem,and so on, with marginal utility declining by three unitsfor each additional poem. Praxilla gets six units ofmarginal utility for each of her first three cucumbersconsumed, five units of marginal utility for each of hernext three cucumbers consumed, four units of marginalutility for each of the following three cucumbersconsumed, and so on, with marginal utility declining byone for every three cucumbers consumed. A poem coststhree bronze coins but a cucumber costs only one bronzecoin. Praxilla has 18 bronze coins. Sketch Praxilla’sbudget set between poems and cucumbers, placingpoems on the vertical axis and cucumbers on thehorizontal axis. Start off with the choice of zero poemsand 18 cucumbers, and calculate the changes in…You are in the market for a new couch and havefound two advertisements for the kind of couchyou want to buy. One seller notes in her ad that sheis selling because she is moving to a smaller apartment, and the couch won’t fit in the new space.The other seller says he is selling because the couchdoesn’t match his other furniture. Which seller doyou expect to buy from? Why? ( Hint: Think whowould be the more motivated seller.)Jill likes to consume coffee and cream in a very particular way: with every cup ofcoffee she always consumes two 0.5 oz. cream containers. Jill is a utility maximizer anddecides to spend her income is $120 per month on coffee and cream. If the price of eachcoffee cup is $2.50, and the price of each cream container is $0.25, she will consume______ cups of coffee and ______ cream containers per month.A) 48; 96.B) 96; 48.C) 240; 480D) 80; 40E) None of the above.
- On a given evening, J. P. enjoys the consumption of cigars (c) and brandy (b) according tothe functionU(c, b) = 20c− c²+ 18b − 3b²a. How many cigars and glasses of brandy does he consume during an evening? (Cost isno object to J. P.)b. Lately, however, J. P. has been advised by his doctors that he should limit the sum ofglasses of brandy and cigars consumed to 5. How many glasses of brandy and cigarswill he consume under these circumstances?Mylie’s total utility from singing the same song over andover is 50 utils after one repetition, 90 utils after tworepetitions, 70 utils after three repetitions, 20 utils afterfour repetitions, 250 utils after five repetitions, and 2200utils after six repetitions. Write down her marginal utilityfor each repetition. Once Mylie’s total utility beginsto decrease, does each additional singing of the songhurt more than the previous one or less than the previousone?Megan likes to eat toast with hazelnut spread and drink wine. She enjoys these items in very specific proportions: For every piece of toast with hazelnut spread she eats, she drinks exactly one glass of wine, and vice versa. Megan can purchase the hazelnut spread for her toast in two jar sizes: 20 ounces and 40 ounces. Megan cares only about the total amount of hazelnut spread she has available and not at all about the jar size. In other words, she's just as happy with two 20-ounce jars as she is with one 40-ounce jar. In this scenario, toast with hazelnut spread and glasses of wine are Two possible bundles of toast with hazelnut spread and glasses of wine are shown on the following graph, labeled A and B. Using three purple points (diamond symbol), plot Megan's indifference curve that passes through point A (11). Then, using three orange points (square symbol), plot Megan's indifference curve that passes through point B (I2). Hint: To plot both indifference curves, place one point on…