The Indirect Utility Function for a Consumer with a Utility

question 22

Essay

The indirect utility function for a consumer with a utility function U(x₁, x₂)is defined to be a function V(p₁, p₂, m)such that V(p₁, p₂, m)is the maximum of U(x₁, x₂)subject to the constraint that the consumer can afford (x₁, x₂)at the prices (p₁, p₂)with income m.
a.Find the indirect utility function for someone with the utility function U(x, y)= 2x + y.
b.Find the indirect utility function for someone with the utility function U(x, y)= min{2x, y}.Explain how you got your answers.

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Definitions:

Post-Acquisition Equity

The equity interest in a subsidiary acquired by a parent company after the initial purchase date, affecting the parent's total equity interest in the subsidiary.

Pre-Acquisition Equity

The equity interest in a company before any acquisitions, typically involving the original shares and retained earnings before new investments.

Loss of Control

A situation where a company or shareholder no longer has the power to direct the financial and operating policies of another entity to gain benefits from its activities.

Dispersion

A statistical term describing the extent to which values in a data set are spread out around the mean.