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Question 1) (15 points) Clearly draw an indiference curve of Yasemin, whwe utility function is given...
Question 6 (Utility). Suppose a consumer's utility function is given by U(x, x)=x7x2 Draw an indifference curve with a value of 10 and an indifference curve with a value of 16. Label two points on each indifference curve as well as the axes. a) b) What is the marginal utility with respect to xi? What is the marginal utility with respect to x? What is the
Richie’s utility function is given by U=5X+2Y. Draw Richie’s indifference curve when U=10. What is the marginal rate of substitution of X for Y? What is the marginal rate of substitution when X=1 and Y=5? When X=2 and Y=2.5?
4. Suppose that Noah's utility function is given by (a) Draw an indifference curve that goes through the bundle (2,2), where xi is on the horizontal axis and z2 is on the vertical axis. (b) Draw another indifference curve that goes through the bundle (3, 3) on the same diaram as (a). Label carefully. (c) What kind of preference does Noah have about the two goods?
please answer all questions 2. Draw the graph of an indifference curve map for the utility function U(X,Y)= XY. Put good X on X-axis and good Y on Y-axis. Draw at least 3 indifference curves and label the utility level for each indifference curve. Explain why or why not do the indifference curves cross each other on the map.
Given Fuzzy Membership Function A, define on given picture then a. Draw the Curve , and determine the complement from A and membership function of ( A ∩ A c) b. Supp ( A U A c) and Alpha cut (A ∩ A c) in α = 0,6 ? additional question : 1. can you please explain what is A ∩ A c& A U A cmeaning exactly ? 2. what is Alpha cut ? 0 0<x<2 7 A(x) =...
Question-3 Suppose the consumer’s utility function is given by U (x1 , x2 ) = x1x 2 2 . Let the prices of good 1, good 2 be p1 , p2 , and suppose this consumer wants to reach a level of utility U (a) [2] Formulate the consumer’s problem in terms of the Lagrangian (b) [5] Derive the Hicksian demands for this consumer (c) [3] What is the expenditure for this consumer. (d) [5] Show that x H (...
3) Consider the utility function U = 3FC. a. Carefully sketch the indifference curve for utility of 24. Label four market baskets on the indifference curve. (Hint: In Desmos, enter 24=3xy) b. Carefully sketch the indifference curve for utility of 48. Label four market baskets on the indifference curve. c. Which market basket gives highest utility: (0,10) or (2,8) or (5,5) or (9,2)? Rank the market baskets and identify them on your graph. 4) Consider the utility function U =...
3. Consider the following utility function, u (1, 2) min br 0<a1 and b>0 (a) [15 points] Derive the Marshallian demand functions. (Explain your derivation in details.) Does the Marshallian demand increase with price? consumption goods normal goods? (b) [ 15 points Derive the Hicksian demand functions. Does the icksian demand increase with price?
This question explores some features of the quasilinear utility function. Avi’s utility function is ?(?, ?) = 4?1/2 + ?. Barry’s utility function is ?(?, ?) = ? + 3?1/3. Derive Avi’s demand functions for goods x and y. What must be true of Px for her to be at a corner solution? Which good would not be consumed under this condition? (10 points) Now assume an interior solution and graph Avi’s income consumption curve. (3 points) Derive Barry’s demand...
4. Anne's utility function is given by u(xi,x2) Michael's utility function is given by u(xı, x2)' = x1x2. She has two friends, Michael and Peter 1 and Peter's is given by u(x1, X2) = = 1042 1 Τ) -x12. Who has the same preferences as Anne? And who has indifference curves with similar shape as Anne's indifference curves? Explain. 4. Anne's utility function is given by u(xi,x2) Michael's utility function is given by u(xı, x2)' = x1x2. She has two...