4 Jack and Jill are packing food parcels. The boxes for the food parcels can each carry up to 5000 g in weight and can each hold up to \(30000 \mathrm {~cm} ^ { 3 }\) in volume.
The number of each item to be packed, their dimensions and weights are given in the table below.
| Item type | \(A\) | \(B\) | \(C\) | \(D\) |
| Number to be packed | 15 | 8 | 3 | 4 |
| Length (cm) | 10 | 40 | 20 | 10 |
| Width (cm) | 10 | 30 | 50 | 40 |
| Height (cm) | 10 | 20 | 10 | 10 |
| Volume ( \(\mathrm { cm } ^ { 3 }\) ) | 1000 | 24000 | 10000 | 4000 |
| Weight (g) | 1000 | 250 | 300 | 400 |
Jill tries to pack the items by weight using the first-fit decreasing method.
- List the 30 items in order of decreasing weight and hence show Jill's packing. Explain why Jill's packing is not possible.
Jack tries to pack the items by volume using the first-fit decreasing method.
- List the 30 items in order of decreasing volume and hence show Jack's packing. Explain why Jack's packing is not possible.
- Give another reason why a packing may not be possible.