For each of the utility functions below classify them into Homothetic , Quasilinear, both or neither. Make sure you briefly explain why you made that choice. (a) u(x1, x2) = min{2x1, x2} (b) u(x1, x2) = xỉ + x} (c) u(x1, x2) = In(x1) + In(x2) (d) u(x1, x2) = 2x1 + x2 (e) u(x1, x2) = -(x1 – 1)² – (x2 – 1)?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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For each of the utility functions below classify them into Homothetic , Quasilinear, both or neither. Make
sure you briefly explain why you made that choice.
(a) u(x1, x2) = min{2x1, x2}
(b) u(x1, x2) = x} + x3
(c) u(x1, x2) = In(x1) + In(x2)
(d) u(x1, x2) = 2x1 + x2
(e) u(x1, x2) = –(x1 – 1)² – (x2 – 1)2
Transcribed Image Text:For each of the utility functions below classify them into Homothetic , Quasilinear, both or neither. Make sure you briefly explain why you made that choice. (a) u(x1, x2) = min{2x1, x2} (b) u(x1, x2) = x} + x3 (c) u(x1, x2) = In(x1) + In(x2) (d) u(x1, x2) = 2x1 + x2 (e) u(x1, x2) = –(x1 – 1)² – (x2 – 1)2
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