above utility functions satisty the declining MRS property? (Hint Graph some indifference curves and use your graphs to explain whether this property holds.) Choose all that apply: QU(X, Y) = X + XY OV(X,Y) = T aW(X,Y) =-Y %3D %3D %3D DZ(X,Y) = XY
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I came to the conclusions that all of the utility functions satisfy the declining MRS property. But I am unsure. Please help.
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- What does the utility function u(x,y) = -x look like as an indifference curve (draw 3, indicating direction of increasing performance)As per indifference curve analysis, producer always try to reach higher indifference curve t or fAnswer these short questions : a) What is the MRS of a well behaved indifference curve? b) If price 2 is increasing but less than price 1, what will happen to the slope of budget line? c) What are the preference relations of these group of people X, Y, Z, and the relation "at least as tall as" as in "X is at least as tall as Y".
- The value in Y axis has changed from 13.54 to 11.78 and the value in X axis has changed from 9.96 to 4.14, what is the slope of the indifference curve at this point? a. 0.30 b. -3.31 c. -8.01 d. 11.22A decision maker has preferences represented by the utility function u(x,y) = xy over two goods and she is indifferent between the bundles (1,a), (b,4), (c,2) and (8,1). (a) Find the values a, b and c. (b) Brittney claims that another utility function, v(x,y) = (xy)^2 + 2xy - 5 , also represents the same preferences hence has the same exact indifference curves as u. Verify that the four bundles above are on the same indifference curve according to v, too, indeed.Q) U = xy and y = x(1+y) Are points (1,9) and (5,1) on the same indifference curve? Explain it early but not copy paste from Anywhere
- 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 Coffee and Tea have a perfect substitute indifference curve, with Coffee on the X-axisand Tea on the Y-Axis. We are also given that for the person, MRS = 10 and MRS < Px/Py.Graphically show and explain the optimal choice of the person. Show the necessarymathematical work to accompany your answer.True or false. Maximizing choices occur when combinations of two goods are made such that they are affordable and achieve the highest indifference curve (i.e. the highest utility).
- 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.Ann's utility function is U = q1q2/(q1 + q2). Solve for her optimal values of q1 and q2 as a function of p1, p2 and Y.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.