(a) A typical person's indifference curves between garbage and the composite good. (b) Indifference curves for the same two commodi- ties for Oscar the Grouch on Sesame Street, who loves garbage and has no use for the composite good.
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- 3. We claimed in the text that if preferences were monotonic, then a diag- onal line through the origin would intersect each indifference curve exactly once. Can you prove this rigorously? (Hint: what would happen if it intersected some indifference curve twice?)Suppose utility can be measured by "utils" and that Jim buys both coffee and bagels. The price of coffee is $2 and the price of a bagel is $3. If Jim is currently consuming coffee and bagels such that the marginal utility from the last cup of coffee consumed was 6 utils and the marginal utility from the last bagel consumed was 12 utils, is Jim maximizing utility? Why or why not? If not, what should Jim do? Explain in detail.a. What is Mika’s initial basket when the price of a Good X is $10? b. How much utility does this basket generate for Mika?c. What is Mika’s final consumption basket when the price of Good X increases to $15?d. Compute the values for the decomposition basket, B. e. Determine the numerical values of the substitution and income effects and graph your results.f. Is Good X normal or inferior goods for Mika? How do you know? instructions: answer question d,e and f only
- a. What is Mika’s initial basket when the price of a Good X is $10? b. How much utility does this basket generate for Mika?c. What is Mika’s final consumption basket when the price of Good X increases to $15?d. Compute the values for the decomposition basket, B. e. Determine the numerical values of the substitution and income effects and graph your results.f. Is Good X normal or inferior goods for Mika? How do you know?The utility-maximizing bundle of x and x2may, in some instances, be found at a point of tangency between the budget line and an indifference curve. In other instances, the utility-maximizing bundle will be found at a corner point-that is, where the quantity consumed of one good is zero. For which types of indifference curves shown below will the utility-maximizing bundle definitely be found at a corner point? Choose one or more: A. B. "C. D.The indifference curve below illustrates the trade-off between two goods, pizza and Pepsi. Which of the following statements are true for this particular consumer? Correct Answer(s) Slices of Pizza 5 4+2 3 2 1 0 1 2 +1 3 4 -4 5 6 7 Drag appropriate answer(s) here 8 9 Indifference curve 10 Cans of Pepsi The marginal rate of substitution on the indifference curve is constant. If this consumer starts with 5 slices of pizza and 1 can of Pepsi, he would willingly trade two slices of pizza for an additional Pepsi. Combinations on an indifference curve always have equal utility. The consumer will gain more utility from 2 Pepsis and 3 pizza slices than 7 Pepsis and 1 pizza slice because the former is a more balanced combination of goods. + + + + Yo
- Need correct answer . and plaease explain, thank you ! The price of a hot dog is $1, the price of a movie ticket is $,5 and the consumer has $13. A consumer has purchased 3 hot dogs and two movie tickets receiving 10 units of utility for the last hotdog and 10 units of utility for the last movie. The set of goods A. is an optimum since the entire income is spent and the marginal utility is the same for the last unit of each good. B. is an optimum because the consumer has maximized her utility given the limited income she had. C. is not an optimum because the marginal utility per dollar spent is greater for the hotdog than for the movie. D. is not optimum because the marginal utility for the second hotdog was less than the marginal utility for the first hotdog.Answer 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.9. Income and substitution effects Sean and Yvette Durand live in Edmonton and enjoy going out to fancy restaurants for dinner and to diners for breakfast. On the following diagram, the purple curves I1 and 12 represent two of their indifference curves for fancy dinners and diner breakfasts. They have $800 per month available to spend on eating out. The price of a diner breakfast is always $10. Each labelled point represents the tangency between a budget constraint and the corresponding indifference curve. DINER BREAKFASTS 48 40 26 BC 0 2 5 10 Z H BC FANCY DINNERS (?) The initial budget constraint (BC₁) shows the Durands' budget constraint when the price of a fancy dinner is $160. At this price, Sean and Yvette would choose to consume two fancy dinners. Suppose that the price of a fancy dinner decreases to $40, shifting their budget constraint to BC2, which represents a new relative price of four diner breakfasts per fancy dinner. (Hint: The blue line labelled H is parallel to BC2 and…
- You are choosing between two goods, X and Y, and your marginal utility from each is as shown below. Units of X MUX Units of Y MUy 10 8. 2 2 7 3 4 4 4 4 6. 6 Instructions: Enter your answers as whole numbers. a. If your income is $18.00 and the prices of X and Y are $4.00 and $2.00, respectively, what quantities of each will you purchase to maximize utility? X = units. Y =O units. b. What total utility will you realize? c. Assume that, other things remaining unchanged, the price of X falls to $2.00. What quantities of X and Y will you now purchase? units. X =O units. Y = d. Using the two prices and quantities for X, derive a demand schedule (a table showing prices and quantities demanded) for X. Instructions: Start with the highest price first. Quantity Price Demanded| 3.9. Preferences and indifference curves. Assume that a con- sumer purchases only two goods, x and y. Based on the information 3.3. THE MARGINAL RULE 124 in each of the following questions, sketch a plausible set of indiffer- ence curves (that is, draw at least two curves, and indicate the direc- tion of higher utility). (a) Nomis enjoys muffins (x) and chai latte (y) if they are consumed together. (b) Tra likes chocolate (x) but he hates broccoli (y). (c) Aras likes steaks (x) but she doesn't care one way or the other about apples (y). (d) Fernando always buys five Polo-shirts (x) with every pair of jeans (y).女 %24 50 30 DINER BREAKFASTS 9. Income and substitution effects Hubert and Kate Juarez live in San Diego and enjoy going out to fancy restaurants for dinner and to diners for breakfast. On the following diagram, the purple curves I and 2 represent two of their indifference curves for fancy dinners and diner breakfasts. They have $1,000 per month available to spend on eating out. The price of a diner breakfast is always $10. Each labeled point represents the tangency between a budget constraint and the corresponding indifference curve. BC, BC, H. FANCY DINNERS MacBook Pro G Search or type URL 2. 5. 9.
