1. **State the problem:** You asked where the points (0,20), (20,0), and (10,10) come from in the context of the daycare revenue problem. 2. **Explanation:** These points represent the vertices of the feasible region defined by the constraints on the number of babies ($b$) and toddlers ($t$). 3. **Constraints:** - The new law restricts the total number of children: $b + t \leq 20$. - The number of babies and toddlers cannot be negative: $b \geq 0$, $t \geq 0$. 4. **Vertices of the feasible region:** - When $b=0$, $t$ can be at most 20, giving point $(0,20)$. - When $t=0$, $b$ can be at most 20, giving point $(20,0)$. - The point $(10,10)$ lies on the line $b + t = 20$ and is often considered as an intermediate point to check revenue. 5. **Summary:** These points come from the boundary of the constraint $b + t = 20$ and the non-negativity constraints, defining the feasible region for the problem.