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What is the meaning of fx and fy in the context of partial order derv?

1) fx represents the marginal productivity of labor (MPL) and fy represents the marginal productivity of capital (MPC)
2) fx represents the marginal productivity of capital (MPC) and fy represents the marginal productivity of labor (MPL)
3) fx represents the marginal productivity of labor (MPL) and fy represents the marginal productivity of land (MPL)
4) fx represents the marginal productivity of capital (MPC) and fy represents the marginal productivity of land (MPL)

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Final answer:

In economics, 'fx' usually represents the Marginal Product of Labor (MPL) and 'fy' typically stands for the Marginal Product of Capital (MPC), reflecting the additional output from an extra unit of labor or capital, respectively.

Step-by-step explanation:

In the context of partial derivatives in economics, fx and fy often represent the marginal productivity of different factors of production. Specifically, fx could represent the marginal productivity of labor, denoted as Marginal Product of Labor (MPL), while fy could represent the marginal productivity of capital, often referred to as Marginal Product of Capital (MPC).

The concept of marginal product is critical in understanding the contribution of an additional unit of a factor (like labor or capital) to the total output of a firm. For firms in a competitive market, the value of the marginal product is the price they receive for the additional output produced by one more unit of the input, be it labor or capital. As additional units of labor are employed, the MPL generally declines due to the law of diminishing returns, thereby decreasing the value of the marginal product as employment increases.

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