Vijay is a woodworker, and he has a backlog of orders for his two most popular items: floating shelves and cutting boards. It takes him 3 hours to make a floating shelf and 2 hours to make a cutting board. This week, he wants to work at most 40 hours on these items. Which pairs (f,c) represent possible numbers of floating shelves and cutting boards Vijay could make this week?

0,20

8,8

5,12

3,16

The possible pairs that represent the numbers of floating shelves (f) and cutting boards (c) Vijay could make this week are:

0,20
8,8
5,12
3,16

These pairs satisfy the condition that Vijay wants to work at most 40 hours this week on these items.