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- n individual is given $10 to be spent on either oranges or apples. Price of an apple is $ 1 and price of an orange is $2. The marginal utilities derived from each product are as follows: USE BLANK COLUMNS AS NEEDED. 2 # units MU of apple MU of orange 1 60 150 2 50 140 3 40 120 4 30 100 5 20 80 6 10 70 7 5 50 8 0 20 a) The combination that maximizes total utility is: number of apples number of oranges b) If oranges price decreased to $1each and apples still cost $1 each. Given $10 of budget. The combination that maximizes total utility is: number of apples c) Draw the demand curve for oranges number of orangesÇağla Ökten 1. Each day, Burcu, who is in third grade, eats lunch at school. She likes only Twinkies (t) and soda (s) and these provide her a utility of U(t, s) = √ts a. Find Burcu's demand for t and demand for s. b. If Twinkies cost $0.1 each and soda costs $0.25 per cup, how would Burcu spend the $1 that her mother give her? c. If the school tries to discourage Twinkie consumption by raising the price to $0.40, by how much will Burcu's mother have to increase her lunch allowance to provide her with the same level of utility she received in part a? 2. Ahmet's utility over good x and y is represented by the following utiity function: U(x, y) = x² + y² Let Px, Py and I denote price of good x, good y and Ahmet's income respectively. a. Graph Ahmet's indifference curves. Is MRS increasing or decrasing in x h Now suppose that Dy-$2 Dv-$4 and Abr car IS.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?
- Total utility is maximized in the consumption oftwo goods by equating thea. prices of both goods for the last dollar spenton each good.b. marginal utilities of both goods for the lastdollar spent on each good.c. ratios of marginal utility to the price of bothgoods for the last dollar spent on each good.d. marginal utility of one good to the price ofthe other good.Soppose Felix has 9dollars to spend on good x and y.The price ofgood Y is one.If consuming 6units of good y is utilitymaximizing,what must be the price of good x and the amount of goodx that he consumes for a utility function ofa.U=x^(1/3)y^(2/3)b.U=x+2yc.U=x+ln yIntialy mr. John is at equilibrium such that the last dollar spent on each of several products gives hi identical marginal utility i.e MUorange/porange=MUApple/pApple=...=MUn/pn where Mu orange =aditional utility derived from consuming one more unit of Apple ,pApple=price of a unit of Apple etc Q.how will Mr.Jhon react if the price of orange and other goods remain constant?and how can the equilibrium be restored?
- Layout References Review View Help Editing v s New Ro... v 12 A er s A B IU A v A ... b. C. d: e. 3. The table below demonstrates the total utility Terrence derives from eating different quantities of plates of thanksgiving dinner. Calculate the marginal utility for each plate then graph the total utility and marginal utility (with total utility graph above the marginal utility graph lining up the Qty). Quantity of Plates Total Utility from Plates Marginal Utility from Plates 1 250 2. 380 425 375 300 English US) Te Piedictions, On Bred 71°F Clear re to searchAnswer the following short questions:a. Suppose that a consumer’s preferences between goods x andy are represented by the utility function u(x, y) = x^2 + 16xy + 64y^2. If these two goods have the same price, describe the optimal consumptionchoice of this consumer.b. Suppose that when the price of a good change, the incomeand substitution effects change the consumer’s demand for that goodin opposite directions.i. Is this good a normal or an inferior good? Explain.ii. Is this good a Giffen or an ordinary good? Explain.c. Is the following statement true or false? The differencebetween a monopolist’s marginal cost and its profit-maximizing price issmaller when the demand is more elastic.A date with Alex costs you $100 and gives you an additional 1000 units of utility. A date with Kelly costs you $200 and an additional 4,000 units of utility. Based only on the information you have, using the theory of rational choice, you most likely would: O be indifferent between the two dates O go on a date with Alex because the marginal utility per dollar is the greater of the two O go on a date with Kelly O go on a date with Alex
- 1-Which of the following provides a higher marginal utility, a diamond or a pint of water? A dimond A point of water They prodive about the same marginal utility 2- Unit of Apples MU of Apple Unit of Oranges MU of Oranges 1st 4 1st 9 2nd 3 2nd 3 3rd 1 3rd 2 4th 0 4th 0 Suppose the price of an apple is $2, and the price of an orange if $3. You have a budget $10 for these two items. What would you put in your basket first? an Apple an Orange You are indifferent between putting an apple or an orange in your basket. We do not have enough information to answer this question.Given: Assume a consumer is attempting to maximize utility subject to the budget constraint by choosing units of consumption between two goods: good 1 and good 2. Utility maximizing choices are provided in the following table for a baseline scenario and new scenario. Item Baseline New Price of Good 1 $10 $10 Price of Good 2 $10 $6 Income $20,000 $20,000 Units Consumed, Good 1 1000 1250 Units Consumed, Good 2 1000 1250 Utility 4000 5000 Using the table, how did the new event affect good 2? It caused demand for good 2 to decrease. O It caused demand for good 2 to incrcase. OIt caused quantity demanded for good 2 to increase. O It caused no change in quantity demanded for good 2. It cause quantity demanded for good 2 to decrease. It caused no change in demand for good 2.1. 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?
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