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Q: If the preferences are concave, will the consumer ever consume both of the goods together?
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Q: Would you expect total utility to rise or fall with additional consumption of a good? Why?
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Q: If U (X, Y) = X +Y, is the assumption that more is better satisfied for both goods X and Y?
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- ceriuppose that Isaiah has a weekly fixed budget and spends it all on haircuts and ice cream. At his current combination arof consumption, the marginal utility of the last dollar spent on haircuts is greater than the marginal utility of the last dollar spent on ice cream. Has Isaiah maximized his utility? A C E Yes, because changing his current consumption combination will reduce his total utility B No, because he can increase his total utility by purchasing more haircuts and D fewer ice creams Yes, because he has purchased 2 goods in proportion so that he can get- the maximum utility from each Yes, because he purchased the maximum possible with a limited budget No, because he can increase his total utility by purchasing fewer haircuts and more ice creamsJoe 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; decrease4. 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.
- At her current level of consumption, Wiebke's marginal utility from an aditional pencil is 15 utils, and her marginal utility from an aditional pen is 10 utils. This implies that webkie's would be willing to give up at most ________ pencils for an additional pen.2. What does it mean that preferences are complete? Now would the real-life implica- tions of this assumption look like?Let's suppose that an individual prefers bundle of goods A over another bundle of goods B. Let's suppose that the individual prefers the bundle of goods C to the bundle of goods B. Then we can say the individual prefers C to A because more is better than less the individual prefers A to C because more is better than less two answers are correct no answer is correct O the individual prefers A to C; because of transitivity the individual prefers C to A because of transitivity
- 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.I like drinking Smirnoff and Stoli Vodka, but I really only careabout the total amount of alcohol I get out of it. They areperfect substitutes. Smirnoff is sold in liter bottles that are100 proof (that’s 50% alcohol). Stoli is sold in liter bottlesthat are 80 proof (40% alcohol). What is my utility functionfor bundles of these two vodkas? What do my indifferencecurves look like?The following table presents information on Angel's marginal utility and price paid for the consumption of Pomegranates and Oranges, which are the only two goods that he consumes. Angel OYes ONO ONot enough information What should Angel do? Pomegranates Price $4 Based on the utility maximizing rule, Is Angel maximizing their utility? OPurchase more Pomegranates and less Oranges OPurchase less Pomegranates and more Oranges OMake no changes Marginal Utility MacBook Air 7 Oranges Price $12 Marginal Utility 31
- Every day Noora spends her lunch money consuming apples, at RO1 each, and Oranges, at RO2 cach. At her current level of consumption, Noora's marginal utility of apples is 12 and her marginal utility of oranges is 18. If she has already spent all of her lunch honeyỹ, how should Noora change her consumption decision tó maximize utility? She should makeʼno changes: she is consuming the utility maximizing Combination ofapplès and oranges. 6) She should increase her apple consumption and decrease her consumption until the marginal utility per dollar is equal for bóth. c. She should decrease hef apple consumption and increase her orange consumpțion until the marginal utility per dollar is equal for both. d. She should increase her apple consumption and increase her orange consumption until the marginal utility is equal for both: orangeSuppose 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.Jill likes to consume coffee and cream in a very particular way: with every cup ofcoffee she always consumes two 0.5 oz. cream containers. Jill is a utility maximizer anddecides to spend her income is $120 per month on coffee and cream. If the price of eachcoffee cup is $2.50, and the price of each cream container is $0.25, she will consume______ cups of coffee and ______ cream containers per month.A) 48; 96.B) 96; 48.C) 240; 480D) 80; 40E) None of the above.
