4. Jon is always willing to trade one can of Coke for one can of Sprite, or one can of Sprite for one can of Coke. a. What can you say about Jon's marginal rate of substitution? b. Draw a set of indifference curves for Jon. c. Draw two budget lines with different slopes and illustrate the satisfaction-maximizing choice. What conclusion can you draw? 91d2
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- 1. Income and substitution effects Musashi and Rina Xiang live in Dallas and enjoy going out to fancy restaurants for dinner and to coffee shops for breakfast. On the following graph, the purple curves U₁ and U₂ represent two of their indifference curves for dinners and breakfasts. They have $800 per month available to spend on eating out. The price of a breakfast is always $10. Each labeled point represents the tangency between a budget constraint and the corresponding indifference curve. BREAKFASTS 26 0 better I worse 02 BC, 1 5 I 10 DINNERS H Fancy Dinners Substitution Effect Income Effect -U₂ U₁ The initial budget constraint (BC₁) shows the Xiangs' budget constraint when the price of a fancy dinner is $160. At this price, Musashi and Rina would choose to consume two dinners. BC 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 breakfasts per dinner. (Hint: The blue line labeled H is…Mike is a jellyfish wrangler. In June and July he spent his budget on fish tanks and wet suits. Each fish tank cost $50 and each wet suit cost $100. At Mike's optimal choice, his marginal utility from the last fish tank purchased is 200. This means that his marginal utility from the last wet suit purchased is:b) Diana has $6.00 to spend. She has the option to buy two goods: sandwiches and peppermints. Sandwiches cost $3.00 each, and peppermints cost $1.00 per pack. The table below shows the utility Diana derives from consuming sandwiches or peppermints at various levels of consumption. In the table below, compute and complete the table below for the marginal utility per dollar for each level of consumption. i. Peppermints Marginal Utility/ $ (price per each) Sandwiches Marginal Utility Marginal utility/ $ (price per each) Marginal Utility Units purchased 1 9 15 9 3 4 4 n/a n/a 1 ii. Briefly explain how Diana should spend the first $3.00.
- 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…c. Samuelson maximizes his utility by spending his entire income of $29 on video 3.5 games and cards. The price of video games is $4, and he buys 2 games. The marginal utility from the last card he buys is 42. The table represents Samuelson's marginal utility from each good. Marginal utility Quantity Video Games Cards 1 45 70 28 54 3 16 42 4 10 16 Required: i. Calculate the price of a card using the condition that Samuelson's marginal utilities per dollar are equal. ii. What is Samuelson’s total utility?10. Assume an individual's preferences are represented by the following indifference map and he has an income of S400. Which of the following is shown when the price of Good I is $20 and the price of Good 2 increases from $10 to S16? Note: Even though the price of Good 2 is increasing, the steps to determine the income and substitution effects are the same. 50 45 40 35 30 25 20 15 10 10 15 20 25 30 35 40 45 50 Good 1 Good 2 is a normal good. Good 2 is an inferior good, but not a Giffen good. Good 2 does not satisfy the Law of Demand. • Ignoring the Income Effect, the Substitution Effect will cause the individual to consume more of Good I. A. B. 21 C. 3 None of the above statements are true. D. Good 2
- The following table shows Madison's utility from consuming popcorn and Coke. Suppose that Madison has income of $9.00, the price of popcorn is $3.00, and the price of Coke is $0.75. If Madison wants to maximize her utility, how much popcorn and Coke should she buy? Рорсorn Marginal Utility 192 Coke Quantity Marginal Utility 1 144 144 108 3 96 72 4 48 36 24 18 6. 12 Madison should buy boxes of popcorn and cans of Coke. (Enter your responses as integers.)The marginal utility for shoes and coffee is given below for five individuals. A pair of shoes costs $2, and a cup of coffee costs $1. Which of these consumers are optimizing over their choices? Explain For those who are not, how should they adjust their spending? Explain “Pasta is Miguel’s favorite meal therefore the law of diminishing marginal utility does not apply”. Do you agree with this statement? It is known that the indifference curve is convex. What does this tell you about the relationship between the goods? The income effect and the substitution effect work in the same direction for a normal good. Explain how this differs for an inferior good.4. If we have the utility function, U(x)=(x−7)^2, and we know that there is an indifference set around x = 4 and an upper contour set of x = 6. How to graphically represent this function? I'm confused about how to draw the upper contour set on the graph? I know the concept that upper contour is the area over the convex line, but don't know how to put it on the graph. Could you draw a simple graph to help me identify the upper contour?
- II. Your preferences are represented by the utility function U(x₁, x₂) = (x² − x²)0.5 for x₁ > 0, x₂ > 0, and x² > x².4. Suppose that a consumer with the utility function U =X0.25 Y0.75 choses a bundle where X=5 and Y=10. If the prices of the two goods are Px= $1, and Py = $3. Calculate marginal utility per dollar spent on each good. Can this consumer increase utility without increasing expenditure and if so how?5. Julio who consumes two goods Food (F) and clothing (C) has a utility function given by U(F,C)= sqrt(F)C. The price of food is $3 and the price of clothing is $5 and Julio's weekly budget for food and clothing is $100. a. What is Julio's MRSFe (marginal rate of substiution of food for clothing) when utility is maximized? Explain. b. If Julio is at point where MRSFC= 1, where is that point relative to the utility maximzing bundle (show this in a diagram)? c. Can Julio change his bundle so as to increase his satisfaction and if so in what way? Explain fully Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.