Show That the Utility Functions V(X,Y)= XᵃY¹⁻ᵃ and U(X,Y)= a Ln(X)

question 90

Essay

Show that the utility functions V(X,Y)= XᵃY¹⁻ᵃ and U(X,Y)= a ln(X)+ (1-a)ln(Y)represent the same ordering of bundles.

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Definitions:

Chromosomes

Structures within cells that contain genetic information in the form of DNA, crucial for inheritance and cell division.

S Phase

Stage in interphase of the cell cycle during which DNA and other chromosomal constituents are synthesized. Compare with G1 phase and G2 phase.

Metaphase

A stage of cell division where chromosomes line up at the cell's equator before being separated into each of the two new cells.

Prophase

The first stage of cell division in both mitosis and meiosis, characterized by the condensation of the chromatin and the formation of the mitotic spindle.