Suppose s consuming troo gods.coffee land beerShe spendo all her income on a combination. 6f coffee and beer where Mu coffee I Peoffee is 5 and MubeerIP beer is 3. Explain why this combination is not maxi her Satofactioohat should she do to maximise her utlity roximzng
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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.Jeremy is deeply in love with Jasmine. Jasmine lives where cell phone coverage is poor, so he can either call her on the land-line phone for five cents per minute or he can drive to see her, at a round—trip cost of 2 in gasoline money. He has a total of 10 per week to spend on staying in touch. To make his preferred choice, Jeremy uses a handy utilimometer that measures his total utility from personal visits and from phone minutes. Using the values in Table 6.6, figure out the points 011 Jeremys consumption choice budget constraint (it may be helpful to do a sketch) and identify his utility-maximizing point.Would you expect total utility to rise or fall with additional consumption of a good? Why?
- Is it possible for total utility to increase while marginal utility diminishes? Explain.The rules of politics are not always the same as the rules of economics. In discussions of setting budgets for government agencies, there is a strategy called closing the Washington Monument. When an agency faces the unwelcome prospect of a budget cut, it may decide to close a high-visibility attraction enjoyed by many people (like the Washington Monument). Explain in terms of diminishing marginal utility why the Washington Monument strategy is So misleading. Hint: If you are really trying to make the best of a budget cut, should you cut the items in your budget with tile highest marginal utility or line lowest marginal utility? Does the Washington Monument strategy cut the items with the highest marginal utility or line lowest marginal utility?1 i The total utility schedule of Sharon is given below for the number of shoes sheconsumes.a. Calculate Sharon’s marginal utility schedule. b. Plot a graph of total and marginal utility. c. What is the maximum number of shoes that Sharon will consume?Explain ii.Assume that Mania has $1,200 per month to spend between dinners at aJapanese restaurant and evenings at Cru, a local bar. Assume that going to Crucosts $25 and eating at the restaurant costs $14.a. Draw Mania’s budget constraint with restaurants on the horizontal axis.b. Suppose Mania comes into some money and can now spend an extra$200 per month. Draw her new budget constraint. c. Suppose the price of restaurants decrease to $12, while her income andthe price of Cru is unchanged. Illustrate what happens to her budgetline.
- (a) A consumer has utility u(x,y,z) = ln(x) + 2ln(y) + 3ln(z) over the three goods, x,y and z and pz=1. Optimally she consumes 30 units of z. What is her income? How much money does she spend on x? (HINT: MUx = 1/x, MUy= 2/y, MUz = 3/z and remeber the "equivalent bang for the buck" condition). (b) Forget about (a). Suppose you have t= 29 hours in total to spend on 3 projects X,Y and Z to make some money. If you spend x hours on project X, you make 2 sqrt(x) dollars; If you spend y hours on project Y, you make 3 sqrt(y) dollars; If you spend z hours on project Z, you make 4sqrt(z) dollars; Writing down your "utility function" u(x,y,z) and the constraint, solve the utility maximization problem; what is the optimal amount of time to spend on x? on y? on z?A consumer has a utility function U(X,Y ) = X1/2 Y1/2 . Prices of the goods are pX = £10 and pY = £5, respectively, and the consumer has income M = £200 to spend on X and Y. Currently, she buys 2 units of good X and spends the rest of her income on good Y.a) Determine this consumer’s current utility level. b) Computetheconsumer’smarginalutilitiesofgoodsXandY. c) Explain why the consumer’s current consumption of goods X and Y is not optimal. Should she substitute X for Y or vice versa? The consumer’s marginal rate of substitution is MRS = Y/X.d) Determine this consumer’s optimal consumption of both goods. e) By how much does the consumer’s utility increase when she consumes the optimal bundle?Intialy 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?
- Draw a well-labeled graph that shows the substitution effect (SE), incomeeffect (IE), and total effect of good 1 and is consistent with the following: The consumerreceives $m per month and has well-behaved preferences with strictly convex indifferencecurves; the price of good 1 increases; the original utility-maximizing point is labeled at A; thenew utility-maximizing point is labeled C; the compensated budget’s utility maximizing point islabeled B; good 1 is inferior but not Giffen. Make sure to clearly state and graphically showwhether the SE, IE, and total effect of good 1 are each positive or negative. Also state if the SEor IE is higher in magnitude if possible. Good 1 needs to be on the horizontal axis.Consumer spends $450 per week on two goods, X and Y. PX= $5 and PY=$3. His utility function is U= 0.5Xy2. What quantities of X and Y does he buy each week in equilibrium?Given the following information: Quantity (units) TU1 TU2 0 0 0 1 40 20 2 60 36 3 76 45 4 86 51 5 94 53 TU(Total utility) Assume that P1 = 4 naira per unit and P2= 10 naira per unit: a. What quantities of q1 and q2 does the consumer buy at the equilibrium point b. Calculate the total utility that he derives at that point. c. Calculate the budget line or income of the consumer and this result on a graph