What condition should be met in order for the consumer to maximize satisfaction in the consumption of good X and good Y? Provide the calculation that satisfies the equilibrium condition.
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- 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?Amadea spends all her income on pizza,chocolate milk, and music streams. The price of pizza is $4 per slice and price ofchocolate milk $2 per bottle. At Amadea's current consumption level, her marginalutility for pizza is 50 units per slice and for music 100 units per stream. Assuming thatAmadea is a utility maximizer, how much is (a)her current marginal utility for a bottleof chocolate milk, and (b) the price of streams she buys. Show your work. [Hint: Ch 6:Utility-maximizing formula)A consumer is making purchases of products Alpha and Beta such that the marginal utility of product Alpha is 63 and the marginal utility of product Beta is 40. The price of product Alpha is $9, and the price of product Beta is $5. The utility-maximizing rule suggests that, to stay within a given budget constraint, this consumer should Multiple Choice O O O increase consumption of product Beta and increase consumption of product Alpha. make no change in the consumption of Alpha or Beta. increase consumption of product Beta and decrease consumption of product Alpha. increase consumption of product Alpha and decrease consumption of product Beta.
- John likes Coca-Cola. After consuming one Coke, John has a total utility of 10 utils. After two Cokes, he has a total utility of 25 utils. After three Cokes, he has a total utility of 50 utils. Does John show diminishing marginal utility for Coke, or does he show increasing marginal utility for Coke? Supposethat John has $3 in his pocket. If Cokes cost $1 each and John is willing to spend one of his dollars on purchasing a first can of Coke, would he spend his second dollar on a Coke, too? What about the third dollar? If John’s marginal utility for Coke keeps on increasing no matter how many Cokes he drinks, would it be fair to say that he is addicted to Coke?Carol needs to decide how to spend her wealth on sh and chicken.For Carol, 1 lb of sh is equivalent to 2 lb of chicken. Her preferencecan be represented by the utility functionu(x; y) = 2x + ywhere x is the quantity of sh (in lbs) and y is the quantity of chicken(in lbs). The consumption set is R2+. (a) Draw two typical indi erence curves for Carol, one correspondingto a utility level of u1 and one corresponding to a utility level u2,where 0 < u1 < u2. Make sure you label the slope of the indif-ference curves and the intercepts with the horizontal and verticalaxes.(b) Suppose the price of sh is $1:5 per lb and and the price of chickenis $1 per lb. Carol has $20 to spend on sh and chicken.(i) Draw Carol's budget set, labeling the slope and the interceptpoints clearly.(ii) How much sh and chicken will Carol choose to purchase? I am looking for an answer to the points (c) and (d) below (c) Suppose now that the price of sh increases to $2 per pound.(i) Draw Carol's budget set,…todd is a cattle rancher in june and july he spent his clothing budget on jeans and cowboy hats. each pair of jeans cost $56 and each hat cost $41. At Todd's optimal choice, his marginal utility from the last pair of jeans purchased is 592. This means that his marginal utility from the last cowboy hat purchased is: Round the final answer to the whole number
- Why is the consumer’s MRS equal to the price ratio at the optimal consumption point? Givea graphical interpretation of this fact in XY space (hint: what do we know about the indifferencecurves and the budget line?).Vani eats only green eggs and ham. He has an income of $36. Green eggs have a price of Priceof Green eggs = $2 and ham has a price of Price of Ham = $6. Sam’s preferences are represented bythe utility functionUtility = 10Eggs + 40Hama) Draw vani's budget constraintJoe 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; decrease
- Mylie’s total utility from singing the same song over and over is 50 utils after one repetition, 90 utils after two repetitions, 120 utils after three repetitions, 80 utils after four repetitions, 20 utils after five repetitions, and -60 utils after six repetitions, as shown in the table below. a. Write down her marginal utility for each repetition. Instructions: Enter your answers as a whole number. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers. Repetitions Total Utility Marginal Utility 0 0 — 1 50 2 90 3 120 4 80 5 20 6 -60Suppose that the following utility function is given U(X,Y) = -X-ywhich of the following is correct? X is a good and Y is a bad and indifference curve is negatively sloped. Both X and Y are goods and indifference curve is negatively sloped. Both X and Y are bads and indifference curve is negatively sloped, OYisa good and X is a bad and indifference.curve is positively sloped.Refer to the indifference curve/budget line diagram below in Figure 7. Given that a consumer initially faces budget line (BL1) and ICI, and thus, by choosing consumption point c, is able to achieve the optimal utility level. If the price of x (Px) decreases, then the substitution effect (SE) is the movement from _-. effect (IE) is the movement from and the income y a IC2 d IC: BLI Figure 7 O a. from b to a; and a to d. O b. from a to b; and b to c. O c. No correct answwers. O d. from c to d; and d to a.