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What Point on the Surface 1x+1y+1z=1\frac { 1 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = 1

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What point on the surface 1x+1y+1z=1\frac { 1 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = 1 , x>0x > 0 , y>0y > 0 , z>0z > 0 is closest to the origin?


Definitions:

Product Price

The monetary value assigned to a good or service for sale.

Total Output

The aggregate amount of goods and services produced by an economy over a specific time period.

Marginal Revenue Product

The increased earnings obtained from utilizing an extra unit of an element, such as labor or capital.

Input

refers to the resources, materials, or labor used in the production of goods and services.

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