# Isoquant

An isoquant depicts all the combination of Capital and Labor that allows the firm to produce a given quantity of output.

## Example

In the cookie factory, the production function is q (K, L) = K L^2.

Tomorrow, they have to make 100 cookies. The combinations of Capital (K) and Labor (L) required to make 100 cookies satisfies \begin{align*} q (K, L) &= 100 \\ K L^2 &= 100 \\ K &= \frac{100}{L^2} \end{align*}

### Question

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