7. Draw indifference curves for two goods r and y, where x is a "neutral" good. Specify each axis, show the direction utility is increasing using an arrow, explain the meaning of a neutral good, and provide an example of a neutral good. (ch. 5).
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- Mr. Rational has $27 that he plans to spend purchasing 5 units of good X (priced at $3 per unit) and 6 units of good Y (priced at $2 per unit). The marginal utility of the fifth unit of X is 30, and the marginal utility of the sixth unit of Y is 18. If Mr. Rational is a utility maximizer, he should: buy less of X and more of Y. buy X and Y in the quantities indicated. buy more of X and less of Y. not buy anything. buy less of X and even lesser than that of Y.4. Tim wants to maximise his utility given his utility function of U (A, B) = A² B¹. He faces the following prices and income: PA = 25; PB = 20; M = 250. However, a change in the price of good A to PA 22 will change his optimal bundle. If he is only interested in being able to consume his original bundle of goods, how much income would he need after the price change? = (a) Tim would require £54 less income (b) Tim would require £18.33 more income (c) Tim would require £10 less income (d) Tim would require £16.66 more income (e) Tim would require £16.66 less incomeII. Your preferences are represented by the utility function U(x₁, x₂) = (x² − x²)0.5 for x₁ > 0, x₂ > 0, and x² > x². 1. Find your marginal utility function for each good.
- 1. Jim's preferences for pears and apples can be summarized by the following utility function: U(Xa,Xp)=XaXp where xa is the quantity of apples and xp is the quantity of pears. a) Draw an indifference curve for Jim by calculating a series of bundles that all produce the same level of "utility" and plotting them. Interpret the slope of the indifference curve (the marginal rate of substitution). b) Calculate the formula for Jim's marginal rate of substitution, as a function of apples and pears consumed.¹ c) What happens to the numeric value of Jim's marginal rate of substitution along an indifference curve (i.e., holds his utility constant) as he increases the number of pears he consumes and decreases the number of apples? For example, compare his MRS for a bundle consisting of 9 apples and 4 pears to his MRS for a bundle consisting of 9 pears and 4 apples and interpret the change. d) Suppose something increases Jim's desire for apples (for example, apples are found to reduce the risk of…5. Draw indifference curves for two goods x and y, where they are perfect complements with a fixed ratio of 4:1. Specify each axis, show the direction utility is increasing using 2 an arrow, explain the meaning of perfect complements, and provide some examples. (ch. 5).Hello, can you double-check these answers, please? I already got the answers to these questions but I wanted to make sure they are correct? 3) When the price of a good falls and customers tend to buy more of it instead of other goods, economists call this the ________ effect. A) substitution B) diminishing marginal utility C) income D) ceteris paribus Correct: D 11) Suppose that it is observed that the price of a commodity rises and that the quantity sold falls. From this we can deduce A) that the demand curve has shifted to the left, but we cannot deduce whether or not the supply curve has shifted. B) that the demand curve has shifted to the right, but we cannot deduce whether or not the supply curve has shifted. C) that the supply curve has shifted to the right, but we cannot deduce whether or not the demand curve has shifted. D) that the supply curve has shifted to the left, but we cannot deduce whether or not the demand curve has shifted Correct: A 35) When a…
- Economics QuestionPeter's preferences over two goods, x and y, are represented by the utility function u(x, y) = y + 2x. a) Peter is currently consuming bundle A = (2,4) with 2 units of good x and 4 units of good y. Calculate his current level of utility from consuming this bundle. b) Write the expression the indifference curve representing Peter's current level of utility (i.e., the one you found in part (a). Next draw this indifference curve. c) By looking at the indifference curve you drew in part (b), answer the following questions: Does Peter like good x? Good y? Explain. What can you say about the marginal rate of substitution of good x for y, MRSxy? Is it positive? Negative? Constant? Increasing? Decreasing? Interpret/explain your answer in terms of the tradeoffs Peter is willing to make between goods to keep the same utility level. d) On the same graph you drew in part (b), draw the indifference curve for a utility level of 10. Plot and label in the graph bundles B = (1,2), C = (1,6), and D =…12) A consumer’s preferences are given by U(X,Y) = X0.6Y0.4. The price of X is 4, and the price of Y is 5. The consumer has an income of $2000.a) What is the utility maximizing choice of X and Y?b) How would the utility maximizing choice change if price of X falls to 3 because of a pricesubsidy?c) Given the answers to the previous parts plot a linear demand function for X.d) Show that the consumer would prefer the cash equivalent of the price subsidy in part b.
- The price of good "a" is $5 and the price of good "b" is $15. If the marginal utility of good "a" is 20 then the marginal utility of good "b" must be ________ to have an optimum combination of goods purchased. 80 20 60 4Please tell me which of the multiple choices in question 1.6)1.7)1.8) are correct.State only the correct ones please. 1.6) The marginal rate of substitution (MRS) can be defined as: Select one or more: a. The amount of one good that the consumer is willing to trade for one unit of the other. b. The ratio of the amounts of two goods. c. The change in the consumer’s utility when one good is substituted for another. d. The absolute value of the slope of the indifference curve. 1.7) (SEE ATTACHED PICTURE) The diagram shows that: Select one or more: a. If Angela works 24 hours a day she can still survive. b. There is a technically feasible allocation where Angela does not work. c. A new technology that produced more grain would give a larger technically feasible set. d. If Angela needed less grain to survive the technically feasible set would be smaller.From the hypothetical data in table 1, provide the following requirements. Table 1. Total Utility & Marginal Utility for Chocolate Bars Quantity (Chocolate Bars) Total Utility Marginal Utility 0 0 1 7 2 11 3 13 4 14 5 14 6 13 Solve the marginal utility column. Show the graphical solution. What does your graph implies?