Question One O Zabron has preferences > for Champagne (good 1) and Wine (good 2) defined by: (x, x2) > (21, 2) e min (x1, x2) 2 min (z), z2) and max (x, x2) 2 max (z,, z2) Are Zabron's preferences complete? Transitive? Locally Non – satiable? Convex? Justify your answers and draw the No-worse-Than, No-Better-Than and the Indifference set of a representative bundle. m) Suppose that Zabron's preferences > can be represented by a continuous utility function. Show that > satisfies Axioms 1 (Completeness), 2 (Transitivity) and 3 (Continuity).
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- A consumer has the following utility function: U (x, y) = (x + a) (y + b) Prices of the two goods x and y respectively are px and py and the consumer has income m. We assume that all prices and income are strictly positive. Furthermore, throughout this question we assume that m is high enough so that both x and y are strictly positive in equilibrium. (a) Solve the consumer’s optimization problem and express the demand for the two goods in terms of prices and income. 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.Which combination would maximize Cloe’s total utility given her $4 budget? Multiple Choice 6 chocolates and 2 hard candies 4 chocolates and 3 hard candies 2 chocolates and 4 hard candies 0 chocolates and 5 hard candies10) Suppose that the utility function of an individual can be described as U(X,Y) = 4X +2Y. For this utility function the MRSA) is always X*YB) is always constantC) is always X/YD) is always X+YE) is always X-Y.
- Suppose that Marissa is interested in buying some beers and hamburgers. Her budget constraint for these two goods is given below: If beers cost $6/beer, how much income does she have to spend on beer and hamburgers? Group of answer choices $24 $18 $12 not enough information to answer the questionQ1 (b) – each graph needs to be approximately half page in size. All the axis need to be labeled. The TU values need to be scaled as follows: 10, 20, 30, 40, 50, 60 – with 2 cm gaps. The MU values need to be scaled as follows: -5, 0, 5, 10, 15 – with 2 cm gaps. b) Using the values from the above table, “Plot” (on separate graphs) i) Total Utility ii) Marginal Utility graphsKaren has perfect complement preferences over toothbrushes B and toothpaste P, with the associated utility function U(B,P) = min (3B, 2P). Suppose the price of a toothbrush is $6, the price of toothpaste is $4 a tube, and she has $72 to buy her entire year's supply of toothbrushes and toothpaste. How many toothbrushes and tubes of toothpaste will she buy?
- If the consumer thinks that (x₁,x2) is at least as good as (y₁.42) and that (y₁y2) is at least as good as (x₁,x2), we can conclude that (look at the following options)4.If we observe a consumer choosing (x1, x2) when (y1, y2) is available one time, are we justified in concluding that (x1, x2) > (y1, y2)?It is common for supermarkets to carry both generic (store-label) and brand-name (producer-label) varieties of sugar and other products. Many consumers view these products as perfect substitutes, meaning that consumers are always willing to substitute a constant proportion of the store brand for the producer brand. Consider a consumer who is always willing to substitute 4 pounds of a generic store brand for 2 pounds of a brand-name sugar. Do these preferences exhibit a diminishing marginal rate of substitution? Assume that this consumer has $24 of income to spend on sugar, and the price of store-brand sugar is $1 per pound and the price of producer-brand sugar is $3 per pound. How much of each type of sugar will be purchased? How would your answer change if the price of store-brand sugar was $2 per pound and the price of producer-brand sugar was $3 per pound?
- No written by hand solution Assume Fred has the following preference relation on [0, 1]: x ≿ y if and only if x ≤ y for all x ̸= 1 and y ̸= 1; and 1 ≻ z for all z ∈ (0, 1), 1 ∼ 1 and 0 ≻ 1. Does there exists a utility representation for this preference relation? If yes, provide a utility function. If no, explain. Show your work.1. A consumer consumes two kinds of goods, namely X and Y. The total satisfaction (TU) obtained in consuming both kinds of goods is shown in the equation; (Unit of money in thousands of dollars).TU = 10X + 24Y - 0.5X2 - 0.5Y2TU is the total satisfaction in consuming goods X and YX is the number of items X consumedY is the number of items Y consumedThe price of item X is known to be $ 2, the price of item Y is $ 6 and the budget available to buy item X and item Y is $ 44.Question:a. Determine how many goods X and the number of goods Y must be consumed so that the consumer gets maximum total satisfaction. Determine the total satisfaction that can be obtained from consuming item X and item Y.b. If the price of item X drops from $ 2 to $ 1, determine the quantity of item X and the number of items Y must consume to obtain maximum total satisfaction. Determine the total satisfaction that can be obtained from the consumption of item X and item Y. 2. A producer has a total cost function: TC =…Given a consumer has a money budget M = 90 and utility function ? ( ? , ?) = ? 1/4? 1 / 2 If she consumes two goods x and y with prices given by ? = 2 and ? = 4 state the ? ? budget constraint equation. Determine the utility maximizing quantities X and Y for the consumer