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Xavier and Yvette Are the Only Two Persons on a Desert

question 50

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Xavier and Yvette are the only two persons on a desert island. There are only two goods, nuts and berries. Xavier's utility function is U(Nx, Bx) = NxBx. Yvette's utility function is U(Ny, By) = 5Ny + By. Xavier is endowed with 4 units of berries and 13 units of nuts. Yvette is endowed with 6 units of berries and 8 units of nuts. In a competitive equilibrium for this economy, how many units of berries does Xavier consume?


Definitions:

Pilot Devices

Control instruments that command the operation of electrical machinery indirectly, often through the use of relays or contactors.

Motor Starter

A device that controls the use of electrical power to equipment, especially to start and stop motors.

Control Coil

A coil used in a relay or other electrical device, which creates a magnetic field when electricity is passed through it, thereby controlling the operation of the device.

Two-wire Control

A control circuit configuration where only two conductors are used to complete the circuit between the control device and the equipment being controlled.

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