4B. Which one(s) of the following functions v(x, y) = 2x°y³ – 100, w(x, y) = 3(x + y) + 120, t(x, y) = ry- 150 is an ordinal utility function for a preference relation which admits u(x, y) = Bx!/2y!/2 + 120 as an utility function? (a) w only (b) v and w (c) v and t (d) v, w and t (e) none of the previous four statements is correct. %3D %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 56E
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4B. Which one(s) of the following functions
v(x, y) = 2x°y – 100, w(x, y) = 3(x + y) + 120, t(x, y) = xy - 150
is an ordinal utility function for a preference relation which admits u(x, y) =
3x/2y1/2 + 120 as an utility function?
(a) w only
(b) v and w
(c) v and t
(d) v, w and t
(e) none of the previous four statements is correct.
%3D
%3!
Transcribed Image Text:4B. Which one(s) of the following functions v(x, y) = 2x°y – 100, w(x, y) = 3(x + y) + 120, t(x, y) = xy - 150 is an ordinal utility function for a preference relation which admits u(x, y) = 3x/2y1/2 + 120 as an utility function? (a) w only (b) v and w (c) v and t (d) v, w and t (e) none of the previous four statements is correct. %3D %3!
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