Positive Variables x 1 , x 2 , x 3 , x 4 , y 1 , y 2 , y 3 , y 4 , z 1 , z 2 , z 3 , z 4 , w 1 , w 2 , w 3 , w 4 , a 1 , a 2 , a 3 , a 4 , b 1 , b 2 , b 3 , b 4 , c 1 , c 2 , c 3 , c 4 , d 1 , d 2 , d 3 , d 4 , E 1 , E 2 , E 3 , E 4 , U 1 , U 2 , U 3 , U 4 , G 1 , G 2 , G 3 , G 4 , V 1 , V 2 , V 3 , V 4 , H 1 , H 2 , H 3 , H 4 , F 1 , F 2 , F 3 , F 4 , t 1 , t 2 , t 3 , t 4 , L 1 , L 2 , L 3 , L 4 , M 1 , M 2 , M 3 , M 4 , N 1 , N 2 , N 3 , N 4 , O 1 , O 2 , O 3 , O 4 production shirt by temporary workers in week 1 L 1 e 1 0 t 1 production shirt by temporary workers in week 2 L 2 e 1 0 t 2 production shirt by temporary workers in week 3 L 3 e 1 0 t 3 production shirt by temporary workers in week 4 L 4 e 1 0 t 4 production caps by temporary workers in week 1 M 1 e 1 0 t 1 production caps by temporary workers in week 2 M 2 e 1 0 t 2 production caps by temporary workers in week 3 M 3 e 1 0 t 3 production caps by temporary workers in week 4 M 4 e 1 0 t 4 production pants by temporary workers in week 1 N 1 e 1 0 t 1 production pants by temporary workers in week 2 N 2 e 1 0 t 2 production pants by temporary workers in week 3 N 3 e 1 0 t 3 production pants by temporary workers in week 4 N 4 e 1 0 t 4 production Gloves by temporary workers in week 1 O 1 e 1 0 t 1 production Gloves by temporary workers in week 2 O 2 e 1 0 t 2 production Gloves by temporary workers in week 3 O 3 e 1 0 t 3 production Gloves by temporary workers in week 4 O 4 e 1 0 t 4 production shirt in week 1 x 1 e 3 0 0 L 1 production shirt in week 2 x 2 e 3 0 0 L 2 production shirt in week 3 x 3 e 3 0 0 L 3 production shirt in week 4 x 4 e 3 0 0 L 4 production caps in week 1 y 1 e 3 0 0 M 1 production caps in week 2 y 2 e 3 0 0 M 2 production caps in week 3 y 3 e 3 0 0 M 3 production caps in week 4 y 4 e 3 0 0 M 4 production Pants in week 1 z 1 e 3 0 0 N 1 production Pants in week 2 z 2 e 3 0 0 N 2 production Pants in week 3 z 3 e 3 0 0 N 3 production Pants in week 4 z 4 e 3 0 0 N 4 production Gloves in week 1 w 1 e 3 0 0 O 1 production Gloves in week 2 w 2 e 3 0 0 O 2 production Gloves in week 3 w 3 e 3 0 0 O 3 production Gloves in week 4 w 4 e 3 0 0 O 4 capacity cutting department in week 1 0 3 x 1 0 3 y 1 0 5 z 1 0 4 w 1 l 1 0 0 0 capacity cutting department in week 2 0 3 x 2 0 3 y 2 0 5 z 2 0 4 w 2 l 9 9 0 capacity cutting department in week 3 0 3 x 3 0 3 y 3 0 5 z 3 0 4 w 3 l 9 8 0 capacity cutting department in week 4 0 3 x 4 0 3 y 4 0 5 z 4 0 4 w 4 l 9 7 0 capacity insulating department in week 1 0 2 5 x 1 0 3 5 y 1 0 3 z 1 0 6 w 1 l 1 0 0 0 capacity insulating department in week 2 0 2 5 x 2 0 3 5 y 2 0 3 z 2 0 6 w 2 l 9 9 0 capacity insulating department in week 3 0 2 5 x 3 0 3 5 y 3 0 3 z 3 0 6 w 3 l 9 8 0 capacity insulating department in week 4 0 2 5 x 4 0 3 5 y 4 0 3 z 4 0 6 w 4 l 8 7 0 capacity sewing department in week 1 0 4 5 x 1 0 5 y 1 0 4 z 1 0 2 2 w 1 l 1 0 0 0 capacity sewing department in week 2 0 4 5 x 2 0 5 y 2 0 4 z 2 0 2 2 w 2 l

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Question: Positive Variables x 1 , x 2 , x 3 , x 4 , y 1 , y 2 , y 3 , y 4

Positive Variables x

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4,

1,

2,

3,

4

;

production

_

shirt

_

_

temporary

_

workers

_

_

week

_1 . .

1 =

= 10 *

1

; production

_

shirt

_

_

temporary

_

workers

_

_

week

_2 . .

2 =

= 10 *

2

;

production

_

shirt

_

_

temporary

_

workers

_

_

week

_3 . .

3 =

= 10 *

3

;

production

_

shirt

_

_

temporary

_

workers

_

_

week

_4 . .

4 =

= 10 *

4

;

production

_

caps

_

_

temporary

_

workers

_

_

week

_1 . .

1 =

= 10 *

1

;

production

_

caps

_

_

temporary

_

workers

_

_

week

_2 . .

2 =

= 10 *

2

;

production

_

caps

_

_

temporary

_

workers

_

_

week

_3 . .

3 =

= 10 *

3

;

production

_

caps

_

_

temporary

_

workers

_

_

week

_4 . .

4 =

= 10 *

4

;

production

_

pants

_

_

temporary

_

workers

_

_

week

_1 . .

1 =

= 10 *

1

;

production

_

pants

_

_

temporary

_

workers

_

_

week

_2 . .

2 =

= 10 *

2

;

production

_

pants

_

_

temporary

_

workers

_

_

week

_3 . .

3 =

= 10 *

3

;

production

_

pants

_

_

temporary

_

workers

_

_

week

_4 . .

4 =

= 10 *

4

;

production

_

Gloves

_

_

temporary

_

workers

_

_

week

_1 . .

1 =

= 10 *

1

;

production

_

Gloves

_

_

temporary

_

workers

_

_

week

_2 . .

2 =

= 10 *

2

;

production

_

Gloves

_

_

temporary

_

workers

_

_

week

_3 . .

3 =

= 10 *

3

;

production

_

Gloves

_

_

temporary

_

workers

_

_

week

_4 . .

4 =

= 10 *

4

; production

_

shirt

_

_

week

_1 . .

1 =

= 300 +

1

;

production

_

shirt

_

_

week

_2 . .

2 =

= 300 +

2

;

production

_

shirt

_

_

week

_3 . .

3 =

= 300 +

3

;

production

_

shirt

_

_

week

_4 . .

4 =

= 300 +

4

;

production

_

caps

_

_

week

_1 . .

1 =

= 300 +

1

;

production

_

caps

_

_

week

_2 . .

2 =

= 300 +

2

;

production

_

caps

_

_

week

_3 . .

3 =

= 300 +

3

;

production

_

caps

_

_

week

_4 . .

4 =

= 300 +

4

;

production

_

Pants

_

_

week

_1 . .

1 =

= 300 +

1

;

production

_

Pants

_

_

week

_2 . .

2 =

= 300 +

2

;

production

_

Pants

_

_

week

_3 . .

3 =

= 300 +

3

;

production

_

Pants

_

_

week

_4 . .

4 =

= 300 +

4

;

production

_

Gloves

_

_

week

_1 . .

1 =

= 300 +

1

;

production

_

Gloves

_

_

week

_2 . .

2 =

= 300 +

2

;

production

_

Gloves

_

_

week

_3 . .

3 =

= 300 +

3

;

production

_

Gloves

_

_

week

_4 . .

4 =

= 300 +

4

;

capacity

_

cutting

_

department

_

_

week

_1 . . 0.3 *

1 + 0.3 *

1 + 0.5 *

1 + 0.4 *

1 =

= 1000

;

capacity

_

cutting

_

department

_

_

week

_2 . . 0.3 *

2 + 0.3 *

2 + 0.5 *

2 + 0.4 *

2 =

= 990

;

capacity

_

cutting

_

department

_

_

week

_3 . . 0.3 *

3 + 0.3 *

3 + 0.5 *

3 + 0.4 *

3 =

= 980

;

capacity

_

cutting

_

department

_

_

week

_4 . . 0.3 *

4 + 0.3 *

4 + 0.5 *

4 + 0.4 *

4 =

= 970

;

capacity

_

insulating

_

department

_

_

week

_1 . . 0.25 *

1 + 0.35 *

1 + 0.3 *

1 + 0.6 *

1 =

= 1000

;

capacity

_

insulating

_

department

_

_

week

_2 . . 0.25 *

2 + 0.35 *

2 + 0.3 *

2 + 0.6 *

2 =

= 990

;

capacity

_

insulating

_

department

_

_

week

_3 . . 0.25 *

3 + 0.35 *

3 + 0.3 *

3 + 0.6 *

3 =

= 980

;

capacity

_

insulating

_

department

_

_

week

_4 . . 0.25 *

4 + 0.35 *

4 + 0.3 *

4 + 0.6 *

4 =

= 870

;

capacity

_

sewing

_

department

_

_

week

_1 . . 0.45 *

1 + 0.5 *

1 + 0.4 *

1 + 0.22 *

1 =

= 1000

;

capacity

_

sewing

_

department

_

_

week

_2 . . 0.45 *

2 + 0.5 *

2 + 0.4 *

2 + 0.22 *

2 =

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