C. Dan likes to consume x and y in "fixed proportions": twice as much of x as of y. That is, his preferences are such that he (strictly) prefers the bundle (x, y) to the bundle (x', y') if and only if min[y] > min[, y']; otherwise he is indifferent between the two bundles. 1. Draw Dan's indifference curve through the bundle (6,4). 2. Is Dan's preference convex? Is it monotonic? Is it strictly convex? Is it strongly monotonic?
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- Suppose Jane spends $48 each month on Oreo cookies with a price of $2 per package, and salt and vinegar chips with a price of $3 per bag. a) With chips on the horizontal axis, draw Jane budget constraint, making sure to indicate the horizontal and vertical intercepts. b) Suppose that at current prices, Jane purchases 6 bags of chips each month. Draw an indifference curve tangent to Jane budget constraint consistent with this choice (assume Jane is maximizing her utility). Label her chosen bundle with the letter A. How many packages of Oreos does Jane buy? c) Suppose that the price of chips falls to $2 per bag, and Jane increases her chip consumption to 8 bags each month. Draw Jane’s new budget constraint and indicate her chosen bundle with an appropriately drawn indifference curve. Label her utility-maximizing bundle with the letter B. (Be sure to determine the right quantities of both chips and Oreos!) d) A major chip producer has experienced a fire, and the disruption of supply has…Depart from the represented preferences U(x,y)= min {x, 4y} 1. Draw two indifference curves for the given utility function and show the preferred points, by providing examples. 2. Explain mathematically the MRS for the different parts of this type of IC.u(x,y)=x·y2(MUx =y2,MUy =2x·y) Prove that the consumer is indifferent between the consumption bundles (1,4) or (4,2). What is the formula for the consumer’s MRS? What is the slope of the consumer’s indifference curve at the bundle (2,4)? State the two conditions that determine an interior solution to the consumer’s utility maximization problem. Assuming the consumer has income I = $90 and faces prices px = $1 and py = $2, show that each of the following consumption bundles satisfies one of the conditions in part d but not the other, and hence is NOT a solution to the consumer’s problem: i. (60,15) ii. (20,20) iii. (40,40)
- A maximizing consumer with preferences given by u = x^2+ y^2 allocates 60 dollars of income at pY= 3 and pX= 4. Provide an indifference curve and budget line diagram to illustrate and quantify her utility-maximizing choice a Bundle A. Next month the price of good x will fall to pX= 2. Update your diagram to show the Hicksian compensating and equivalent variations for this price change as Bundles B, C, and D.Suppose a consumer is indifferent between the bundles (x1, x2) = (19, 10) and (15, 16), and suppose that the same consumer prefers the bundle (15, 14) to both. What can you say about his/her preferences when evaluated against standard assumptions of consumer preferences?Gopal is a rational consumer and consumes two goods X and Y. Is a cardinal measureof utility or satisfaction necessary in order to sketch a set of indifference curves? Whatare the main characteristics of indifference curves? On the same set of axis draw threeindifference curves showing increasing marginal rate of substitution as we move downthe indifference curve. Please answer it in little more detail as it is descriptive
- Graph and explain indifference curves for the following situations:(i) An individual has constant marginal utility toconsumption in both periods.(ii) An individual does not derive utility from this period’sconsumption, but does from the next period’sconsumption.(iii) An individual’s utility decreases with consumption inboth periods.A consumer with income I=120 facing prices pX = 4 and pY = 8 for two goods X and Y (for each good she prefers more to less) chooses optimally to consume 12 units of X. If the prices change and now pX = 6 and pY = 4, what is the possible range for her optimal X consumption? (like, x >/ 7 or 10 >/ x >/7…etc. Use indifference curve analysis on a graph to reason about the possible locations of the new optimal bundle.)Suppose that Monica has income of $120, and faces prices Px = $2.9 and PY = $2.5, where x = number of cups of Starbuck coffee and Y = number of cups of MacCafe. Her goal is to maximize her utility, described by the function U=2x+ Y. a) Represent graphically the problem Monica faces. Make sure you identify your axes as well as your budget constraint and indifference curves. Also identify the optimal bundle. b) Calculate the optimal bundle. Make sure you show all your calculations.
- Given the budget line and indifference curvesshown in Exhibit A-6, assume the consumer isinitially at point C. To maximize total utility, theconsumer shoulda. purchase more of good X and less of good Y.b. remain at point C.c. move to point B and then to point A.d. purchase more of good Y and less of good X.Suppose a consumer has preferences represented by the utility function U(X,Y) = X2Y Suppose PY = 1, and the consumer has $300 to spend. Draw the Price-Consumption Curve for this consumer for income values PX = 1, PX = 2, and PX = 5. Your graph should accurately draw the budget constraints for each income level and specifically label the bundles that the consumer chooses for each income level. Also, for each bundle that the consumer chooses, draw the indifference curve that goes through that bundle. Make sure to label your graph carefully and accurately. 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.Assume that an individual has convex indifference curves (i.e. diminishing MRS). Suppose the individual has $3 to spend on good #1 and good #2. In addition, suppose we know that at the bundle where q1=1 and q2=1, the marginal utility of good #1 is 2 utils and the marginal utility of good #2 is 1 util. Given this information, which set of prices would this individual prefer to face? A. p1=1 and p2=2 B. p1=2 and p2=1 C. p1=2 and p2=2