Constraint System Math Example 2

Solution

1. 1
   Let $n$ = notebooks, $p$ = pens. Constraints: $3n + p \leq 12$, $n \geq 2$, $p \geq 0$.
2. 2
   With $n = 2$: $6 + p \leq 12$, so $p \leq 6$.
3. 3
   With $n = 3$: $9 + p \leq 12$, so $p \leq 3$.
4. 4
   With $n = 4$: $12 + p \leq 12$, so $p = 0$.
5. 5
   Maximum pens: 6 (buying exactly 2 notebooks).