## 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

The production function is now `q(K, L) = KL^2`.

What is the equation of the isoquant representing the production of 5 cookies? Draw that isoquant.

The isoquant satisfies `q(K, L) = KL^2 = 5`.

Solving for `K`.

$$ \begin{align*} K &= \frac{5}{L^2}\end{align*} $$