1. Assume that data in the accompanying table give an indifference curve for Amrey. Graph this curve, putting A on the vertical axis and B on the horizontal axis. Assuming that prices of A and B are 1.50 and 1.00 peso, respectively, and that Amrey has 24 pesos to spend, add his budget line to your graph. What combination of A and B will Amrey purchase? Does your answer meet the MRS-MRMS for equilibrium? Combination A B C D Units of A 16 12 8 4 Units of B 6 8 12 24
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- Let MUA = z = 10 − x and MUB = z = 21 − 2y, where z is marginal utility per dollar measured in utils, x is the amount spent on product A, and y is the amount spent on product B. Assume that the consumer has $10 to spend on A and B—that is, x + y = 10. How is the $10 best allocated between A and B? How much utility will the marginal dollar yield?Columns 1 through 4 in the following 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, respectively, $18, $6, $4, and $24 and that Ricardo has an income of $106. a. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? b. How many dollars will Ricardo choose to save? c. Check your answers by substituting them into the algebraic statement of the utility-maximizing rule.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.
- Draw some hypothetical indifference curves for John Q.Public on a diagram identical to the one you constructedfor Test Yourself Question 1.a. Approximately how much gasoline and how manyhot dogs will Mr. Public buy?b. How will these choices change if his income increasesto $140? Is either good an inferior good?c. How will these choices change if gasoline price risesto $3.00 per gallon? Test Yourself Question 1: John Q. Public spends all of his income on gasoline andhot dogs. Draw his budget line under several conditions:a. His income is $100, and one gallon of gasoline andone hot dog each cost $2.b. His income is $150, and the two prices remain thesame.c. His income is $100, hot dogs cost $2 each, andgasoline costs $2.50 per gallon. (See photo of answers for question #1)Suppose that, from an initial individual consumer equilibrium position in the indifference curve-budget line diagram, the prices of both goods rise by 10 percent. What happens to the position and slope of the budget line? Why does the consumer’s level of satisfaction from a given money income fall? Illustrate and explain. Would it be acceptable for an economist to say that the level of satisfaction of the consumer fell by exactly 10 percent? Why or why not?please only do: if you can teach explain each partc: what does it mean? can you show graphs: For these to be optimal choices with such preferences, the indifference curve through a must lie entirely on or above the budget line associated with (p, w), and simi- larly for r' for the budget line associated with (p', w'). how do you know this:Because each of these bundles lies below the other budget line, this implies that the indifference curves must cross, which is impossible. can you show graphs: note that (3,1) is a conver combination of x and x', so for conver preferences must be weakly preferred to x (the less preferred bundle between a and a'). But then the bundle (3,5/3) must be strictly preferred z, contradicting that is optimal given the initial budget set
- You found your utility preference given by U (w, d) = w√d where w is your wage, and d is the amountof noise (ie - decibels) you must listen to at your job. Let’s assume you have the option to workat home in silence (where d = 36), in a cubicle office (where d = 64), or in an open-air sharedworkspace (where d = 100). Further assume the economy is in equilibrium, and you do not haveincentive to change jobs.(a) Assuming working at home gives you a wage of $100, what would your wage be working in thecubicle office? In the shared workspace?(b) What is the compensating wage differential between these jobs?(c) Explain why the wage is different in each situation, and give an example of another indus-try/situation with a compensating wage differential.Candance’s general budget constraint for the two goods is a follow: B= PxX + PyY Also, her marginal utilities are: MUx =30X^2Y^3 and MUy =30X^3Y^2 A. Derive the Hicksian demand for good X at these prices. Hint, you need to choosethe three correct equations you’ve derived above and solve simultaneously. Also,draw both demand curves on the same graph.B. Using the information derived in parts A and B, what is the substitution effect andincome effect obtained when changing the price of good X from a value of 1 to avalue of 2.Suppose a consumer with a utility function U(x,y) =x 0.5 y 0.5 and an income of $500.00. Considering that X and Y products are sold by the kilo and that their prices are 25.00 and 50.00 respectively, calculate: a) Maximizing amounts of x and y for the consumer b) Graphically sketch the consumer balance c) Discuss the following statement: "if the consumer's income increases by 20%, the consumer will also consume 20% more of each of the products"
- . 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?4. a. Consider a consumer with preferences defined over x and y. Demonstrate that it is possible theywould choose to consume some of both commodities when their income is I but would choose toconsume only x when their income is I’ > I. (Remember: if you can draw it without violating anyof the basic assumptions on preferences, it could happen.) b. Conversely, demonstrate that it is possible they would choose to consume only x when theirincome is I but would choose to consume x and y when their income is I’ > I.c. Finally, show it is possible that they would choose to consume only y when their income is I butwould choose to consume only x when their income is I’ > I.Tom's income is 32. He consumes a single consumption good, C, which has a price of 2. His utility function depends on his marital status: when happily married, his utility is given byU=C^(1/2) When he is not married, his utility is given by U=0.5C^(1/2) a. Suppose that Tom is not currently married. What is his utility? Now suppose that Tom gets married.What is his utility? Assume Tom can spend all his income on his own consumption when he is married. b. Use compensating variation (CV) and equivalent variation (EV) to calculate the value of marriage to Tom. How do the two figures compare?