Clara is indifferent between bundles (1, 2) and (2, 1). If she has diminishing MRS, which bundle does she prefer to these? a. (1.5, 1.5) O b. (0,3) O c. (3,0) Od. Not enough information
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- 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.The consumer is in equilibrium when a)the budget line is tangent to the indifference curve at the bundle chosen. b)All of the above. c)MRT = MRS. d)Px/Py = MUx/MUyA 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.
- 12. If indifference curves cross, then:(a) the assumption of a diminishing marginal rate of substitution is violated.(b) the assumption of transitivity is violated.(c) the assumption of completeness is violated.(d) consumers minimize their satisfaction.(e) all of the aboveQ2. Amanda receives satisfaction from consumption C and leisure L. Her utility function is given by U(C, L) = L x C. a. Define indifference curve. [5 points] b. Name 2 properties of indifference curves. [5 points]18. Declining MRSXY implies that:(a) The total utility is decreasing along an indifference curve(b) The consumer’s preferences do not satisfy the more-is-better principle(c) The consumer is willing to give up more and more X for additional Y as the consumption of X increases along an indifference curve(d) The consumer is willing to give up less and less X for additional Y as the consumptionof X increases along an indifference curve
- 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.Assume a consumer has a well-behaved utility function (e.g. strictly increasing, diminishing MRS) with an income of $80. Suppose the price of good X is $2 and the price of good Y is $8. Assuming the consumer has chosen the optimal market basket, what is the consumers marginal rate of substitution at that consumption level? Group of answer choices 4 not enough information 40 10 .2510. Consider the utility function U(x, y) = xy + x. Which of the following bundles is noton the same indifference curves as the others. Note: The first entry is the amount of x, thesecond is the amount of y.(a) (5,1)(b) (2,4)(c) (4,2)(d) (2.5,3)
- Q5 plz help quick The marginal rate of substitution of nickels for dimes is O negative and constant. O negative but varies from point to point on a given indifference curve. O zero. positive but decreases as the number of Nicole's increases1. What is the relationship between pS/pC and pC /pB? What feature of the utility function is responsible for these ratios?2. Now suppose that the moment before the above prices are elicited, the subject gets $10, which does not become part of her reference point. Again calculate the three prices pS, pB, and pC. What is the relationship between pS/pC and pC /pB? Why? 3. In some actual experiments, subjects were not given money, and pS/PC was found to be about 2, and PC/pB was found to be about 1. Write down a utility function that can produce these ratios.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)