7.2 In Problem 7.3, Pierre's friend Henri lives in a town where he has to pay 3 francs per glass of wine and 6 francs per loaf of bread. Henri consumes 6 glasses of wine and 4 loaves of bread per day. Recall that Bob has an income of $15 per day and pays $.50 per loaf of bread and $2 per glass of wine. If Bob has the same tastes as Henri and if the only thing that either of them cares about is consumption of bread and wine, we can deduce (a) nothing about whether one is better than the other. (b) Henri is better off than Bob.81 ai woh of viðsion TT
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- Praxilla, who lived in ancient Greece, derives utility from reading poems and from eating cucumbers. Praxilla gets 30 units of marginal utility from her first poem 27 units of marginal utility from her second poem 24 units of marginal utility from her third poem, and so on, with marginal utility declining by three units for each additional poem. Praxilla gets six units of marginal utility for each of her next three cucumbers consumed, five units of marginal utility for each of her next three cucumbers consumed, four units of marginal utility for each of the following three cucumbers consumed, and so on, with marginal utility declining by one for every three cucumber consumed. A poem costs three bronze coins hut a cucumber costs only one bronze coin. Praxilla has 18 bronze coins. Sketch Praxillas budget set between poems and cucumbers, placing poems on the vertical axis and cucumbers on the horizontal axis. Start off with the choice of zero poems and 18 cucumbers, and calculate the changes in marginal utility of moving along the budget line to the next choice of one poem and 15 cucumbers. Using this step-by-step process based on marginal utility, create a table and identify Praxillas utility—maximizing choice. Compare the marginal utility of the two goods and the relative prices at the optimal choice to see if the expected relationship holds. Hint: Label the table columns: 1) Choice, 2} Marginal Gain from More Poems, 3) Marginal Loss from Fewer Cucumbers, 4) Overall Gain or Loss, 5) Is the previous choice Optimal? Label the table rows: 1) 0 Poems and 18 Cucumbers, 2) 1 Poem and 15 cucumbers, 3) 2 Poems and 12 cucumbers, 4) 3 Poems and 9 Cucumbers, 5) 4 Poems and 6 cucumbers 6) 5 Poems and 3 Cucumbers, 7) 6 Poems and 0 Cucumbers.. Suppose that initially, bread is $2 per loaf,and cake is $2 per slice. Marie Antoinettehas $18 to spend on these items each week.At this income and those prices, Marie consumes 5 loaves of bread and 4 slices of cake.Then, the price of bread DECREASES to$1 per loaf. (The price of cake is still $2.)IF Marie’s budget had also fallen to $13so that she could still just afford her original bundle, she WOULD choose to spendthose $13 on 7 loaves of bread and 3 slicesof cake.But since Marie still has her original $18budget, she actually chooses to buy 4loaves of bread and 7 slices of cake afterthe price change.When the price of bread fell from $2 to $1,what was the substitution effect on Marie’sdemand for bread?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.
- 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?1) Suppose that Abel and Eden spend their incomes on two goods, food (F) and clothing (C).Abel’s preferences are represented by the utility function U(F,C)=10FC, while Eden’spreferences are represented by the utility function U(F,C)= 0.20F2C2A) With food on the horizontal axis and clothing on the vertical axis, identify on a graph theset of points that give Abel the same level of utility as the bundle (10, 5). Do the same forEden on a separate graph.B) On the same two graphs, identify the set of bundles that give Abel and Eden the samelevel of utility as the bundle (15, 8).C) Do you think Abel and Eden have the same preferences or different preferences? Explain 2. Graphically show the effect of an increase in price of Coca Cola on the demand of PepsiCola 3. Assume a budget line is drawn for two commodities: X on the x-axis and Y on the y-axis. Ifthe income of the consumer is 120 Birr, the y-intercept is 3, and the slope of the budget lineis -0.5 then determined the price of commodity…The following table indicates Sharona’s marginal utilities from the additional consumption of goodsA and B. The first and third columns of the table show the quantities of goods A and B consumed.The second and the fourth columns show Sharona’s marginal utilities from each additional unit ofgoods A and B consumed. The price of A is $2 per unit, and the price of B is $4 per unit. IfSharona’s budget is $12, then what consumer equilibrium combinations would maximize her totalutility?Table 6.6QA MUA QB MUB1 24 1 482 22 2 443 18 3 364 12 4 24
- 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 workSuppose that Abel and Eden spend their incomes on two goods, food (F) and clothing (C).Abel’s preferences are represented by the utility function U(F,C)=10FC, while Eden’spreferences are represented by the utility function U(F,C)= 0.20F2C2A) With food on the horizontal axis and clothing on the vertical axis, identify on a graph theset of points that give Abel the same level of utility as the bundle (10, 5). Do the same forEden on a separate graph.B) On the same two graphs, identify the set of bundles that give Abel and Eden the samelevel of utility as the bundle (15, 8).C) Do you think Abel and Eden have the same preferences or different preferences? ExplainThe table below shows Martha’s total utility from burgers and pasta. Suppose that the price of a burger is $4, the price of pasta is $8 a dish, and Martha has $24 a week to spend. Quantity of Burger per week Total utility for Burger MU MU/P Quantity of Dishes Pasta per week Total utility for Pasta MU MU/P 0 0 0 0 1 10 1 20 2 18 2 36 3 25 3 48 4 31 4 56 5 36 5 60 6 40 6 62 a- Conclude whether or not we follow the law of diminishing MU. b- What is optimal combination of Burger and Pasta?
- Columns 1 through 4 of the accompanying table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are $18, $6, $4, and $24, respectively, and that Ricardo has an income of $105. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? How many dollars will Ricardo choose to save? Check your answers by substituting them into the algebraic statement of the utility‑maximizing rule. In other words, show it works when using this rule.3. Akua is a School of Agriculture graduate and consumes 2 goods: Yoghurt and Bread. Akua also earns a typical student income from the parents, GHS 400 a month. She can either spend it all on Yoghurts and get 50, or she can spend it all on Bread and get 200 loaves. a. Given this information, construct the equation for Akua’s Budget Line.b. The following are the bundles that Akua can afford with her income:Yoghurt Bread10 08020 Fill the blanks in the table with the quantities that will exhaust Akua’s income. c. Akua gets a research grant and her income increases to GHS 800 per month. What is the new equation of her budget line? What if income stays constant at GHS 400 and the price of Yoghurts increase to GHS10?d. Assume that prices are the same as used in part a. If the marginal utility of a Yoghurt is 20, what is the marginal utility of Bread if she is maximizing her utility?e. Now assume that Yoghurt and Bread are compliments for Akua. For her to consume all her income of GHS 400,…3. Akua is a School of Agriculture graduate and consumes 2 goods: Yoghurt and Bread. Akua also earns a typical student income from the parents, GHS 400 a month. She can either spend it all on Yoghurts and get 50, or she can spend it all on Bread and get 200 loaves. a. Given this information, construct the equation for Akua’s Budget Line.b. The following are the bundles that Akua can afford with her income:Yoghurt Bread10 08020 Fill the blanks in the table with the quantities that will exhaust Akua’s income. c. Akua gets a research grant and her income increases to GHS 800 per month. What is the new equation of her budget line? What if income stays constant at GHS 400 and the price of Yoghurts increase to GHS10?d. Assume that prices are the same as used in part a. If the marginal utility of a Yoghurt is 20, what is the marginal utility of Bread if she is maximizing her utility?e. Now assume that Yoghurt and Bread are compliments for Akua. For her to consume all her income of GHS 400,…