hicksian demand of perfect complements As the title states, I want to know how to derive the hicksian demand of perfect complements $\text{min} \, \{x1,x2\}$.  Thanks in advance.

Also, no price is given, or budget.  my main question is how do i do this considering there really is no utility function?
Hicksian demand is the consumption bundle that minimizes the expenditure of the consumer subject to the constraint that he attains some target level of satisfaction in equilibrium. In the problem, the expenditure on any bundle $(x, y)$ is given by $p_Xx + p_Yy$ and the target level of satisfaction is $\mu$. Given that the utility function is $u(x, y) = \min(x, y)$, the expenditure minimization problem is formulated as:

\begin{eqnarray*} \min_{x, y} \ \ &amp; p_Xx+p_Yy \\ \text{s.t.} \ \ &amp;  \min(x, y) \geq \mu\end{eqnarray*}

Solution to this problem is a function known as Hicksian demand function :

$x^h (p_X, p_Y, \mu) = \mu $

$y^h (p_X, p_Y, \mu) = \mu $