Two parallel lines are located four inches apart. a circle with a diameter of 5 inches ia drawn in the same plane. what is the maximum number of intersections possible between the two parallel lines and the circle?

I have attached diagrams to visually illustrate five examples. The diagrams are labeled "figure 1" through "figure 5"

The possible number of intersections are: 

0 intersections (see figure 1)
1 intersection (see figure 2)
2 intersections (see figure 3)
3 intersections (see figure 4)
4 intersections (see figure 5)

4

The answer would be 27 because assuming that each package has 1 bar of soap and 1 tube of toothpaste, after 27 packages they would run out of toothpaste