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Use the Chain Rule to Find up\frac { \partial u } { \partial p }

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Use the Chain Rule to find up\frac { \partial u } { \partial p } .
u=x+yy+zx=p+5r+7t,y=p5r+7t,z=p+5r7t\begin{array} { l } u = \frac { x + y } { y + z } \\x = p + 5 r + 7 t , y = p - 5 r + 7 t , z = p + 5 r - 7 t\end{array}


Definitions:

Perfect Competitor

A market structure where many firms offer products or services that are similar, allowing for free entry and exit, and no single firm can influence the market price.

Imperfect Competitor

An entity in a market that does not hold enough power to dictate the conditions of the market but can influence the price and output of its goods to some extent.

MRP

Marginal Revenue Product, the additional revenue generated from employing one more unit of a factor of production.

Unit of Input

The smallest measure of an input (like labour, materials) used in the production of goods or services.

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