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- 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.2. Suppose that the utility function U(c, s) = c +2s3 describes Molly's preferences over two goods: Carrots (c) and Spinach (s). For the following, think of Carrots as the good graphed on the horizontal axis. a. Derive an expression for her marginal utility for Carrots (U) and her marginal utility for Spinach (US) b. What is Molly's marginal rate of substitution (MRS)? Give a brief (2 sentences maximum) intuitive description of what MRS represents: if Molly has 8 units of spinach, holding her utility constant, how many units of Spinach would she be willing to give up in order to get one more unit of Carrots? Find the equation for and graph Molly's indifference curve for a utility level of 40. Be sure to specify at least 3 bundles of goods on the indifference curve. d. Which assumption about preferences means that Molly's indifference curve should slope down? Briefly support your answer. Give another utility function that represents Molly's preferences just as well as the one given…Mattie consumes milk and cookies. Assume Mattie has a strictly diminishing marginal rate of substitution over these two goods. Suppose Mattie is currently spending all of her available income on a bundle of milk and cookies. At her current bundle of milk and cookies, Mattie's marginal utility from consuming an additional glass of milk is 2 utils and her marginal utility from consuming an additional cookie is 6 utils. If the price of a cookie is $3 and the price of a glass of milk is $1, which one of the following statements must be true? (Select A, B, C, or D) A. Mattie should consume more milk and fewer cookies B. Mattie should consume more cookies and less milk C. Mattie's current bundle of milk and cookies maximizes her utility D. There is not enough information to know whether Mattie should consume more milk or more cookies
- 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.2. Suppose John's utility function is UX,Y) = 4VXY , where X is consumption of beer and Y is consumption of pizza. For this utility function, ( Calculus Kahuna say: MUx = 2VY/X and MUy = 2\X/Y ) a) What happens to the marginal rate of substitution between X and Y as consumption of X increases?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?5. Janice consumes two goods, X and Y. Janice has a utility function given by the expression: U=4X05Y05 and current prices of X and Y are $25 and $50, respectively. Janice currently has an income of 750 unit per time period. a. Write an expression for Janice's budget constraint. b. Calculate the marginal rate of substitution of X for Y. (horizontal line X, vertical line Y). c. Calculate the values of X and Y that will maximize utility. d. Graph your answers (budget line, indifference curve)Suppose that Dale consumes only coffee and cheese, both of which have diminishing marginal utility. For each of the following cases, determine whether Dale should 1Consume more coffee and less cheese, or2Consume less coffee and more cheese: 1.The marginal rate of substitution of cheese for coffee is 3 (i.e., the marginal utility of cheese is three times the marginal utility of coffee), while the price ratio is 2 (i.e., cheese costs twice as much as coffee). 2.The marginal rate of substitution of cheese for coffee is 1 (i.e., the marginal utility of cheese is equal to the marginal utility of coffee) while the price ratio is 2 (i.e., cheese costs twice as much as coffee). 3.The marginal rate of substitution is initially equal to the price ratio, but the price of coffee increases. 4.The marginal rate of substitution is initially equal to the price ratio, but the price of cheese decreases. 5.The marginal rate of substitution is initially equal to the price ratio, but Dale enters exam…
- Joe is currently in consumer equilibrium by consuming cheese and crackers, such that the last cracker consumed yielded 8 utils and the last piece of cheese consumed yielded 12 utils. Assume the price of crackers is two cents per cracker and the price of cheese is three cents per piece. If the price of crackers increases to four cents, Joe should his consumption of crackers and his marginal utility from crackers will and also his consumption of cheese and his marginal utility from cheese will (Assume he is in the downward sloping portion of the MU curve.) Ο Ο Ο decrease; increase; increase; decrease increase; increase; increase; increase increase; decrease; increase; decrease increase; increase; decrease; decreaseSuppose an individual is currently spending all of their income on a bundle of books and pizza, but they are not sure whether the bundle maximizes their utility. Assume the individual has a strictly diminishing marginal rate of substitution over these two goods. At their current bundle of books and pizza, the individual's marginal utility from consuming books is 6 utils and their marginal utility from consuming pizza is 3 utils. If the current price of a book is $12 and the price of a pizza is $7, which of the following statements must be true: A. The individual can increase their utility by consuming more books and less pizza B. The individual is maximizing their utility C. The individual can increase their utility by consuming more pizza and fewer booksConsider the market for Netflix Subscriptions. Show graphically and explain using economic intuition, what happens to the market price and quantity in each of the following 3. Bruno can spend his income on two different goods: smoothies and energy bars. For each of the following three situations, decide if the given consumption bundle is within Bruno’s consumption possibilities. Then decide if it lies on the budget line or not. a) Smoothies cost $2 each, and energy bars cost $3 each. Bruno has income of $60. He is considering a consumption bundle containing 15 smoothies and 10 energy bars.b) Smoothies cost $2 each, and energy bars cost $5 each. Bruno has income of $110. He is considering a consumption bundle containing 20 smoothies and 10 energy bars. c) Smoothies cost $3 each, and energy bars cost $10 each. Bruno has income of $50. He is considering a consumption bundle containing 10 smoothies and 3 energy bars. 4. In each of the following situations, describe the substitution…