Refer to the information provided in Figure 6.5 below to answer the questions that follow. Oel's monthly budget Number of CDs per month 0 E C B A D F
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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.As a college student you work at a part-time job, but your parents also send you a monthly allowance. Suppose one month your parents forgot to send the check. Show graphically how your budget constraint is affected. Assuming you only buy normal goods, what would happen to your purchases of goods?Is it possible for total utility to increase while marginal utility diminishes? Explain.
- Would you expect total utility to rise or fall with additional consumption of a good? Why?Mrs. Rochester earns $4500 a week and spends her entire income on computers andpastries, since these are the only two items that provide her utility. Furthermore, Mrs.Rochester insists that for every computer she buys, she must also buy a pastry. A) Suppose the price of pastries increases to $20 and income decreases to $3200. Whatis the new algebraic equation for Mrs. Rochester’s budget constraint? Show theimpact of the new budget line relative to the original budget line. B) What would be the new marginal rate of substitution that corresponds to theoptimal consumption choice? Interpret the marginal rate of substitution. D) Assume for this question only that when the price of computers decreases, less ofthat good is demanded. Illustrate the income and substitution effect of this pricedecrease.A consumer has income of $3,000. Wine costs $3per glass, and cheese costs $6 per pound. Drawthe consumer’s budget constraint with wine onthe vertical axis. What is the slope of this budgetconstraint?
- a. Suppose Fiona’s income is $100 per week, which she allocates between chocolates and books. Chocolates cost $2 each. Books cost $10 each if she purchases between 1 and 5 books. If she purchases more than 5 books in a week, the price falls to $5 for the 6th book and all subsequent books. Draw the budget constraint. Is it possible that Fiona might have more than one utility-maximizing solution? b. Confirm that if a consumer’s utility function is described by U = 2X + Y, and prices are px = 2 and py = 1, there is no unique utility maximizing solution regardless of income level. What does this tell you about X and Y as commodities? (Hint: draw a graph showing a budget constraint and indifference curve using the information provided.)ASAP!! Suppose the price of product X is Rs.500 and the price of product Y is Rs.1000 and one of a family has Rs.50,000 to spend per month on product X and Y.a. Sketch the household budget constraint.b. Assume that the household splits its income equally between X and Y. Show where the household ends up on the budget constraint.c. Suppose the household income doubles to Rs.100,000. Sketch the new budget constraint facing the household.d. Suppose after the change the household spends Rs.20,000 on Y and Rs.80,000 on X. Does this imply that X is a normal or an inferior good? What about Y?e. Suppose the household income reduced to Rs.25,000. Sketch the new budget constraint facing the household.f. Suppose after the change the household spends Rs.20,000 on Y and Rs.5,000 on X. Does this imply that Y is a normal or an inferior good? What about X?. 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?
- John’s preferences for apples (A) and berries (B) are represented by U(A,B)= A+2B . Apples cost £2 and berries £1. Given that John’s monthly income is £30 answer the following questions: What type of goods are apples and berries for John? What is the proportion to which John is willing to exchange apples for berries? Illustrate and solve graphically John’s utility maximization problem. If his income increases every month by £10, how will John’s consumption choice be affected? Illustrate graphically the income expansion path and the Engel curve for each good. How will an increase in the price of berries to £6 affect John’s optimal consumption choice? (John’s income is £30) Graph John’s demand curve for each good. Assume that John wins a voucher of £20, redeemable only in apples. How would this affect John’s utility? (Assume that prices and income are as described initially) Assume that John is presented with two options: an apple voucher of £20 or just £6 to spend on any good he wants.…Centa spends $56 a month at allthemovies.com on film-noir (FN) and sci‑fi (SF) movies, which typically cost $14 each. The first graph shows her budget constraint and her optimal consumption at point A. This month, SF movies are on sale for $7. On the first graph, draw the new budget constraint by moving one or both endpoints of the original budget constraint. Points B, C, D, and E indicate possible consumption bundles. Assume that FN movies are still $14 each. Budget Constraint and Optimal ConsumptionQuantity of FN moviesQuantity of SF movies012345678910012345678910BCBCDEA On the second graph, draw Centa's individual demand curve for SF movies from a price of $14 to a price of $7. Do not continue the line past these points to the axes. Individual Demand for SF MoviesPrice of SF moviesQuantity of SF movies01234567891001234567891011121314demand As with Centa's demand for SF movies, the law of demand states that price and quantity demanded are not correlated. perfect…Mrs. Rochester earns $4500 a week and spends her entire income on computers andpastries, since these are the only two items that provide her utility. Furthermore, Mrs.Rochester insists that for every computer she buys, she must also buy a pastry. a) What is the algebraic equation for Mrs. Rochester’s budget constraint if computerscost $25 each and pastries cost $14 each? How many of each good will she buy andrepresent this on a budget line with pastries on the horizontal axis. b) Draw an indifference curve showing the optimum choice. Label the optimum aspoint A. What would be the marginal rate of substitution at the point thatcorresponds to the optimal consumption choice? Interpret the marginal rate ofsubstitution. c) Suppose the price of pastries increases to $20 and income decreases to $3200. Whatis the new algebraic equation for Mrs. Rochester’s budget constraint? Show theimpact of the new budget line relative to the original budget line. d) What would be the new marginal rate of…