Cutting plan mathematics

Some cut plan problem and solution  

Problem: 01

Make a cut plan based on the following information-

Maximum ply: 25

Maximum garments per marker: 3

Total qty: 225pcs

Size	L	M	L	XL
Qty	25	75	100	25

Solution:

Cut required= Total qty/ (Ply X Marker) = 225/(25 X 3) = 3

Cut No 1.

Ply=25, production=75

Size	S	M	XL
Qty	25	25	25

Cut No 2.

Ply=25, production=75

Size	L	M	L
Qty	25	25	25

Cut No 3.

Ply=25, production=75

Size	L	M	L
Qty	25	25	25

\ Total production=75+75+75=225 pcs.

   

Problem: 02

Make a cut plan based on the following information-

Maximum ply: 75

Maximum garments / marker: 4

Total qty: 1400pcs

  

Color	S	M	L	XL
RED	75	125	125	75
BLUE	150	150	150	150
YELLOW	75	125	125	75
TOTAL=	300	400	400	300

 Solution:

Cut required: Total qty/ (Ply X Marker) = 1400 / (75 X 4) = 4.6 » 5

  

Cut No 1.

Ply=75, production=300

Color	SIZE	S	M	L	XL
BLUE	QTY	75	75	75	75

 Cut No 2.

Ply=75, production=300

Color	SIZE	S	M	L	XL
BLUE	QTY	75	75	75	75

 Cut No 3.

Ply=75, production=300

Color	SIZE	S	M	L	XL
RED	QTY	75	75	75	75

  

Cut No 4.

Ply=75, production=300

Color	SIZE	S	M	L	XL
YELLOW	QTY	75	75	75	75

 Cut No 5.

Ply=50, production=200

Color	SIZE	M	M	L	L
RED	QTY	25	25	25	25
YELLOW	QTY	25	25	25	25

\ Total production=300+300+300+300+200=1400pcs

Problem: 03

Make a cut plan based on the following information-

Maximum ply: 42

Maximum garments / marker: 4

Total qty: 420pcs

  

Color	L	M	L	XL
RED	21	42	42	21
BLUE	42	42	42	42
YELLOW	21	42	42	21
TOTAL=	84	126	126	84

Solution:

Cut required: Total qty/ (Ply X Marker) = 420/ (42 X 4) =2.5 » 3

Cut No 1.

Ply=42, production=168

Color	SIZE	S	M	L	XL
BLUE	QTY	42	42	42	42

Cut No 2.

Ply=42, production=168

Color	SIZE	S	M	L	XL
RED	QTY	21	21	21	21
YELLOW	QTY	21	21	21	21

Cut No 3.

Ply=42, production=84

Color	SIZE	S	M	L	XL
RED	QTY		21	21
YELLOW	QTY		21	21

\ Total production= 168+168+84=420pcs