>**Puzzle 207.** Suppose you buy loaves of bread and then use them to feed hungry children. Compose the feasibility relation \\(\Psi : \{0,1,2\} \nrightarrow [0,\infty) \\) from Puzzle 205 and the feasibility relation \\(\Phi : \mathbb{N} \nrightarrow \lbrace 0,1,2\rbrace \\) from Puzzle 206 to get a feasibility relation \\(\Psi \Phi : \mathbb{N} \nrightarrow [0,\infty) \\) describing how many children you can feed for a certain amount of money (given the fact that you plan to buy at most two loaves).

\[

\Psi(x, y) =

\begin{cases}

\texttt{true} & \mbox{if } (x \leq 0 \mbox{ and } 0 \leq y ) \mbox{ or } (x \leq 3 \mbox{ and } 2 \leq y) \mbox{ or } (x \leq 6 \mbox{ and } 4 \leq y) \\\\

\texttt{false} & \mbox{otherwise.}

\end{cases}

\]

\[

\Psi(x, y) =

\begin{cases}

\texttt{true} & \mbox{if } (x \leq 0 \mbox{ and } 0 \leq y ) \mbox{ or } (x \leq 3 \mbox{ and } 2 \leq y) \mbox{ or } (x \leq 6 \mbox{ and } 4 \leq y) \\\\

\texttt{false} & \mbox{otherwise.}

\end{cases}

\]