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- Take Jeremys total utility information in Exercise 6.1, and use the marginal utility approach to confirm the choice of phone minutes and round trips that maximize Jeremys utility.Units of the Good 0 1 5678AWN2 3 4 Total Utility Total Utility of X of Y 0 0 620 1740 1120 3030 1500 3960 1820 4710 2080 5280 2300 5730 2460 6060 2580 6300 For the next 3 questions, assume that an individual consumes two goods X and Y. The total utility (assumed measurable) of each good is independent of the rate of consumption of other goods. The prices of X and Y are, respectively, $20 and $30. If the consumer buys the fourth unit of X the Marginal Utility per Dollar Spent on X is 16 I If the consumer has $210 to spend on X and Y, the utility-maximizing bundle is The minimum budget necessary to move to a higher equilibrium consumption of X and Y is $ unit(s) of X and unit(s) of Y.goods, XandY per of good X is N$4 and the price of good Vis No10 Harrys unlity funchon is UCX,)==XY. Harry consumes 2 and he spend's Npbo month The price Find The values of gocal X and Y maximizes Harcys unly illustruate Hary's utlty maximizing.combinason clearly labelled on a graph. Suppose llustrate Harrys price & spod X increased to Ngb effects income and substitution ef the anel laballed graph.
- If we have money, we buy goods and services to satisfy our needs. In economics, thesatisfaction that we get from the consumption of goods and services is called utility. Usea utility graph to explain what happen to the utility when you keep on increasing thenumber of units consumed. Also explain what happens to the utility when you keep onincreasing the number of units consumed. Also explain what happens to the additionalutility (i.e. additional satisfaction) when you increase your consumption by one unita. A consumer is willing to trade 3 units of x for 1 unitof y when she has 6 units of x and 5 units of y. She isalso willing to trade in 6 units of x for 2 units of y whenshe has 12 units of x and 3 units of y. She is indifferentbetween bundle (6, 5) and bundle (12, 3). What is theutility function for goods x and y? Hint: What is theshape of the indifference curve?b. A consumer is willing to trade 4 units of x for 1 unitof y when she is consuming bundle (8, 1). She is alsowilling to trade in 1 unit of x for 2 units of y when sheis consuming bundle (4, 4). She is indifferent betweenthese two bundles. Assuming that the utility function isCobb–Douglas of the form U (x, y) = xα y β, where α andβ are positive constants, what is the utility function forthis consumer?c. Was there a redundancy of information in part (b)? Ifyes, how much is the minimum amount of informationrequired in that question to derive the utility function?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?
- DmISIIng Margifal Otmty n. TOTAL AND MARGINAL UTILITY Reset E UTILITY CALCULATIONS Total Utility Quantity Consumed Total Marginal Utility 70 Utility 60 50 22 40 1 22 30 18 20 40 10 14 2 3 4 54 Quantity Consumed 10 Marginal Utility 4 64 20 6. 10 70 3. 6. -10 6. 72 -20 -2 7 70 Quantity Consumed Quantity Consumed -6 8. 64 8 Prev 1 of 3 Score answer > ...The following table shows Madison's utility from consuming popcom and Coke Suppose that Madison han income of $21.00, the price of popcom is 6.00 and the price of Coke in $4 50 FMadson wants to maiire her y how much popcom and Coke should she buy? ITT Popcorn Marginal Unity 192 144 Coke Marginal Uity 144 100 72 36 18 Quantity 48 24 12 Madison should buy boxes of popcom and cans of Coke Enter your reponses as negers)A consumer’s preferences between goods x and y are representedby the utility function u(x, y) = 2min{x, y}+10. Suppose this consumer hasincome of $16, the price of good x is $3 and the price of good y is $1. Suppose the price of good x increases to $7 while the price of good y andthe consumer’s income stay constant. Calculate the magnitudes of the compensating and the equivalent variations. Explain what each measures.
- ceriuppose that Isaiah has a weekly fixed budget and spends it all on haircuts and ice cream. At his current combination arof consumption, the marginal utility of the last dollar spent on haircuts is greater than the marginal utility of the last dollar spent on ice cream. Has Isaiah maximized his utility? A C E Yes, because changing his current consumption combination will reduce his total utility B No, because he can increase his total utility by purchasing more haircuts and D fewer ice creams Yes, because he has purchased 2 goods in proportion so that he can get- the maximum utility from each Yes, because he purchased the maximum possible with a limited budget No, because he can increase his total utility by purchasing fewer haircuts and more ice creamsFive consumers have the following marginal utility ofapples and pears:Marginal Utilityof ApplesMarginal Utilityof PearsClaire 6 12Phil 6 6Haley 6 3Alex 3 6Luke 3 12The price of an apple is $1, and the price of a pear is$2. Which, if any, of these consumers are optimizingtheir choices of fruit? For those who are not, howshould they change their spending?NIVERSITY DURAI Consider the following data describing the change in Nora's utility when she consumes various levels of Nuts and chocolate per week, the price per portion for the considered goods are respectively AED 20 and AED10. Nora has a budget equal to 160 per day to spend on her snack. Q Nuts Total UtilityQ Chocolate Total Utility ChocolateMU Nuts MU ChocolateMU/ AEDMU/AED MRS Chocolate Nuts Nuts 40 1 28 72 52 100 3. 72 4 124 88 144 5. 102 160 6. 114 7 172 122 1. Complete the table above by calculating the marginal utility, the marginal utility per dollar spent and marginal rate of substitution for each good. 2. Identify the potential set of equilibrium points Where MUI/P1=MU2/P2 Nuts Chocolate Income 2. 2. 6.