1 An airline allows each passenger to carry a maximum of 25 kg in luggage. The four members of the Adams family have bags of the following weights (to the nearest kg ):
| Mr Adams: | 10 | 4 | 2 | | | |
| Mrs Adams: | 13 | 3 | 7 | 5 | 2 | 4 |
| Sarah Adams: | 5 | 8 | 2 | 5 | | |
| Tim Adams: | 10 | 5 | 3 | 5 | 3 | |
The bags need to be grouped into bundles of 25 kg maximum so that each member of the family can carry a bundle of bags.
- Use the first-fit method to group the bags into bundles of 25 kg maximum. Start with the bags belonging to Mr Adams, then those of Mrs Adams, followed by Sarah and finally Tim.
- Use the first-fit decreasing method to group the same bags into bundles of 25 kg maximum.
- Suggest a reason why the grouping of the bags in part (i) might be easier for the family to carry.