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Let U(x,y)=xy\mathrm { U } ( \mathrm { x } , \mathrm { y } ) = \sqrt { x y }

question 72

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Let U(x,y) =xy\mathrm { U } ( \mathrm { x } , \mathrm { y } ) = \sqrt { x y } with MUx=y2x\mathrm { MU } _ { \mathrm { x } } = \frac { \sqrt { y } } { 2 \sqrt { x } } and MUy=x2y\mathrm { MU } _ { \mathrm { y } } = \frac { \sqrt { x } } { 2 \sqrt { y } } . Let I=$100,Px=$25\mathrm { I } = \$ 100 , \mathrm { P } _ { \mathrm { x } } = \$ 25 and Py=$10\mathrm { P } _ { \mathrm { y } } = \$ 10 be the initial set of prices and income. Now, let Px\mathrm { P } _ { \mathrm { x } } fall to $10\$ 10 . What is the approximate compensating variation for this change in prices?

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Definitions:

Airplane Mode

A setting on electronic devices that disables wireless communications to prevent interference with aircraft operations.

Tethering

Allows sharing of Internet connectivity among mobile devices in the area. It is a form of hotspot.

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A feature in macOS that allows users to view all open applications and windows, facilitating easier navigation and multitasking.

Virtual Machines

Software emulations of physical computers, allowing multiple operating systems to run on a single physical hardware host.

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