Bin packing First-fit algorithm
Jan 01, 2016
1 23
6
2 35
3
A B C D E F
4
Each block will be fitted into the first bin that has room for it.Each block will be fitted into the first bin that has room for it.
Bin packingFirst-fit algorithm
A B C D E F
4
The first block fits into the first bin.The first block fits into the first bin.
1 23
6
2 35
3
Bin packingFirst-fit algorithm
A B C D E F
4
The second block fits into the first bin.The second block fits into the first bin.
1
23
6
2 35
3
Bin packingFirst-fit algorithm
A B C D E F
4
The third block will not fit in the first binThe third block will not fit in the first bin
1
23
6
2
35
3
2
But there is room in the second bin.But there is room in the second bin.
Bin packingFirst-fit algorithm
The third bin is the first one the 5 will fit into.The third bin is the first one the 5 will fit into.
A B C D E F
4
1
2
6
3
5
3
2
3
5
5
Bin packingFirst-fit algorithm
The second bin has room for the 3.The second bin has room for the 3.
Bin packingFirst-fit algorithm
A B C D E F
4
1
2
6
33
2
35
3
The fourth bin is the first one with room for the 2.
The fourth bin is the first one with room for the 2.
Bin packingFirst-fit algorithm
A B C D E F
4
1
2
6
33
2
35
2 2
2
The 3 also fits into the fourth bin.The 3 also fits into the fourth bin.
Bin packingFirst-fit algorithm
A B C D E F
4
1
6
3
2
35
2
3 3 3
3
No room until the fifth bin for the 6.No room until the fifth bin for the 6.
Bin packingFirst-fit algorithm
A B C D E F
4
1
6
3
2
35
2
3
6 6 6
6
The 3 has to start a new binThe 3 has to start a new bin
Bin packingFirst-fit algorithm
A B C D E F
4
1
2
35
2
3 6
3 3 3 33
3
Total usage is 6 bins.Total usage is 6 bins.
Example 1Pack the following items
into bins of size 20:11, 7, 3, 4, 3, 5, 1, 8, 9
How many bins are required?
Example 2Pack the following items into
bins of size 20:5, 8, 12, 4, 11, 17, 7, 9, 7
How many bins are required?
Example 3A wholesale greengrocer is packing the following items into crates
that will carry 24 kg:Item Weight of item (kg) Number of items
required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
How many crates will the greengrocer need?
Crates (24 kg)
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 7 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg
7 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg, 20 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg
20 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg, 10 kg
20 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg
20 kg, 10 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg
20 kg
10 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg, 6 kg
20 kg
10 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg
20 kg, 6 kg
10 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg
20 kg
10 kg, 6 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg, 8 kg
20 kg
10 kg, 6 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg
20 kg, 8 kg
10 kg, 6 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg
20 kg
10 kg, 6 kg, 8 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg
20 kg
10 kg, 6 kg, 8 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg, 5 kg
20 kg
10 kg, 6 kg, 8 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg
20 kg, 5 kg
10 kg, 6 kg, 8 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg
20 kg
10 kg, 6 kg, 8 kg
5 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg
20 kg
10 kg, 6 kg, 8 kg
5 kg, 5 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg
20 kg
10 kg, 6 kg, 8 kg
5 kg, 5 kg, 5 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg, 2 kg
20 kg
10 kg, 6 kg, 8 kg
5 kg, 5 kg, 5 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg, 2 kg, 18 kg
20 kg
10 kg, 6 kg, 8 kg
5 kg, 5 kg, 5 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg, 2 kg
20 kg, 18 kg
10 kg, 6 kg, 8 kg
5 kg, 5 kg, 5 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg, 2 kg
20 kg
10 kg, 6 kg, 8 kg
5 kg, 5 kg, 5 kg, 18 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg, 2 kg
20 kg
10 kg, 6 kg, 8 kg
5 kg, 5 kg, 5 kg
18 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
Crates (24 kg)9 kg, 6 kg, 6 kg, 3 kg
7 kg, 14 kg, 2 kg
20 kg
10 kg, 6 kg, 8 kg
5 kg, 5 kg, 5 kg
18 kg
Item Weight of item (kg) Number of items required
Carrots 9 1
Apples 6 2
Pears 7 1
Courgettes 3 1
Cauliflowers 14 1
Potatoes 20 1
Oranges 10 1
Leeks 6 1
Bananas 8 1
Tomatoes 5 3
Grapes 2 1
Onions 18 1
So the greengrocer
needs 6 crates.
Example 4Pack the following items into
bins of size 16: 14, 2, 7, 3, 1, 9, 12, 4, 6
How many bins are required?
Example 5A music store is ordering musical instruments. They are packed into boxes
and delivered by a lorry. Each box can hold 20 kg.
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
How many boxes will be needed to deliver all the instruments?
Boxes (20 kg)
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 15 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg
15 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg
15 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg
15 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg
15 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 2 kg
15 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg
15 kg, 2 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg
15 kg, 2 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 7 kg
15 kg, 2 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg
15 kg, 2 kg, 7 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg
15 kg, 2 kg
7 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg
15 kg, 2 kg
7 kg, 7 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg
15 kg, 2 kg
7 kg, 7 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg
7 kg, 7 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg
7 kg, 7 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg
7 kg, 7 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg
7 kg, 7 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 2 kg
7 kg, 7 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg
7 kg, 7 kg, 2 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg
7 kg, 7 kg, 2 kg, 2 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg
7 kg, 7 kg, 2 kg, 2 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg, 4 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg
4 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg
4 kg, 4 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg
4 kg, 4 kg, 4 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg
4 kg, 4 kg, 4 kg, 4 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg
4 kg, 4 kg, 4 kg, 4 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg, 18 kg
4 kg, 4 kg, 4 kg, 4 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg
4 kg, 4 kg, 4 kg, 4 kg,18 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg
4 kg, 4 kg, 4 kg, 4 kg
18 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg, 1 kg
4 kg, 4 kg, 4 kg, 4 kg
18 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg, 1 kg
4 kg, 4 kg, 4 kg, 4 kg
18 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg, 1 kg
4 kg, 4 kg, 4 kg, 4 kg,1 kg
18 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
Boxes (20 kg)15 kg, 2 kg, 2 kg, 1 kg
15 kg, 2 kg, 2 kg, 1 kg
7 kg, 7 kg, 2 kg, 2 kg,1 kg, 1 kg
4 kg, 4 kg, 4 kg, 4 kg,1 kg
18 kg
Instrument Weight of instrument (kg)
Number of each instrument ordered
Guitars 15 2
Trumpets 2 3
Saxophones 7 2
Violins 1 1
Trombones 2 3
Flutes 1 2
Bassoons 4 4
Tubas 18 1
Cymbals 1 2
5 boxes are
needed.