jawaban uas or 1_2014

7/17/2019 Jawaban UAS or 1_2014

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Activity PredecessorNormal

Duration ost (dalam juta) Duration

A - 5 4 3

B - 5 3 1

C A 10 4 5D B 7 4 2

E A 6 3 2

F C,D 5 6

G C,D 6 3 4

H E,F 5 2 1

I G 4 2 1

biaya normal 31

Durasi normal 251 2 3 4

AEH 16 16 16 16

ACFH 25 24 23 22

AC! 25 24 23 22

BDFH 22 22 22 22

BDGI 22 22 22 22

1

24 316

ACFHACGI

A !urun 1

C turun "#$

G,H !urun 2

H,I !urun 15

2

C turun 23 322

3

C turun 22 32"

4 21 33#

ACFH

ACGI

BDFH

BDGI

A,B !urun 15

C, B !urun 11

A, D !urun 14C% D turun 1

7/17/2019 Jawaban UAS or 1_2014


H, I !urun 15

5 20 34#

C% D turun 1

6 1# 363

A% D turun 14

7 1" 377

A%D turun 14

" 17 3#2

H%! turun 15

# 16 407

H%! turun 15

10 15 &2#2

H%! turun 15

A'A

7/17/2019 Jawaban UAS or 1_2014


Crash

Cost (dalam juta) Cost sloe lot durasi

6 1 2 Habis

5 05 4

7 06 5 Habis6 04 5 sisa 1

5 05 4

5 Habis

6 15 2

4 05 4 $isa 3

5 1 3 Habis

5 6 7 " #

16 16 16 16 15

21 20 1# 1" 17

21 20 1# 1" 17

21 20 1# 1" 17

21 20 1# 1" 17

7/17/2019 Jawaban UAS or 1_2014


7/17/2019 Jawaban UAS or 1_2014


10 11

14 13

16 15

16 15

16 15

16 15

7/17/2019 Jawaban UAS or 1_2014


7/17/2019 Jawaban UAS or 1_2014


%ro&ram E'( B)n)*! E'( Cos!

A 5# 30

B 31 20

C 16 10

Ca(i!al +a' 40

$!a&) %ro&ram

$!a!) Ca(i!al aailabl) un!u (ro&ram i

.b/ Fun! +a' B)n)*!

ta*e 1 Pro*ram A

$!a!) 10 11 1 1

10 0 - 0 020 0 - 0 0

30 0 5# 5# 1

40 0 5# 5# 1

ta*e 2 Pro*ram +

$!a!) 20 21 2 2

30 5# 31 5# 0

40 5# 31 5# 0

ta*e 3 Pro*ram C

$!a!) 30 31 3 3

40 5# 75 75 1

,esult-

+ene.t ma/ 75

Pro*ram yan* diilih

d10 1

d20 0

d30 1

Asumsi

B)n)*! m)ru(aan (ro*! b)rsi

$)an&an /ia m)n&&unaan asumsi baa b)n)*! m)ru(aan (ro*

7/17/2019 Jawaban UAS or 1_2014


sisa 30, /ia 21 sisa 10, lia! s!a!) 1 10 (aa s!a&) 1

sisa 40, /ia 21 sisa 20, lia! s!a!) 20 (aa s!a&) 1

! o!or, maa bisa E'(B)n)*!-E'(%ro*! - asilnya sama

7/17/2019 Jawaban UAS or 1_2014


tahun e Cummulative demand

2015 1 (lan! 5400 1

2016 2 (lan! 5600 1

2017 3 (lan! 5"00 1

201" " (lan! 5700 5

Common !a' 1500

+a' ()mbua!an 1 !aun 3 (lan!

ahun 2"14

&d&

" 1 2

" 07 7200

6 12#00

5

ahun 2"1$

3d3

" 1 2

6 12#00 14500 131005 1"600 20200 20300

4 25#00 26000

3 31700

2

ahun 2"15

2d2

" 1 2

3 31700 33000 31300

2 37500 3""00 3"6001 43100 44400

ahun 2"1&

1d2

" 1 2

0 50000 4#200

,esult

2015 32016 3

Cost er lant( / 1""")

7/17/2019 Jawaban UAS or 1_2014


2017 0

201" 2

otal 6iaya &78""

7/17/2019 Jawaban UAS or 1_2014


9: d:3

0 07200 1

12#00 2

1"600 1"600 3

3 9: d:

12#00 01"#00 1"600 0

26100 25#00 1

31"00 31700 2

37500 37500 3

3 9: d:

31200 31200 3

36#00 36#00 344200 43100 3

3 9: d:

4"#00 4"#00 3

7/17/2019 Jawaban UAS or 1_2014


7/17/2019 Jawaban UAS or 1_2014


B8 9n!u asus ini !ia bisa m)n)n!uan :o)r :imi! )n&an ()mbula!a

!P 1

*aris 1 /1

Subject to: 0

-22

6*aris 2 /1

0

#"

*aris 3 /1

5

5

5

;a/ <

'1 '2

-22 0

3#7 3

5 24

5 0

!P 2

*aris &

Subject to: /1 /2

3 03 4

;a/ <

x1>=3 /1 /2

3 0

5 0

5 24

3 26

3#7 3

!P 3

;a/ <

Subject to: /1 /2

-2 0

3 0

3 2#$

Max Z = -x1+ 4 x

2

-10 x1 + 20 x

2 ≤ 22

5 x1 + 10 x2 ≤ 49x

1 ≤ 5

Max Z = -x1+ 4 x

2

-10 x1 + 20 x2 ≤ 225 x

1 + 10 x

2 ≤ 49

x1 ≤ 5

Max Z = -x1+ 4 x

2

-10 x1 + 20 x

2 ≤ 22

5 x1 + 10 x

2 ≤ 49

x1 ≤ 5

7/17/2019 Jawaban UAS or 1_2014


x1<=3

!P &

aris &

Subject to: /1 /2

4 0

4 4

x1>=3 (hila! "a#ea $u%ah te#&a"ili x1>=4' ;a/ <

x1>=4 /1 /2

4 0

5 0

5 24

4 2#

!P 5

;a/ <Subject to: '1 '2

3 2#$

x1>=3 (elebu# eja%i x1=3'

x1<=3

Max Z = -x1+ 4 x

2

-10 x1 + 20 x

2 ≤ 22

5 x1 + 10 x

2 ≤ 49

x1 ≤ 5

Max Z = -x1 + 4 x2

-10 x1 + 20 x

2 ≤ 22

5 x1 + 10 x

2 ≤ 49

x1 ≤ 5

)*S, S.S/* .* S,.-,ihat *6 7 %e!a$ol8e#

7/17/2019 Jawaban UAS or 1_2014


n '1 )baa m)n/ai 3, ar)na on;i (aa < an ba!asannya

/2

11

0

41/2

4#

0

/2

0

2

4

<

22

7#2

46

-5

<

-3

-5

46

74

7#2

<

2

-3

4#&

-4 -2 0 2 4 6 " 10

0

1

2

3

4

5

6

-4 -2 0 2 4 6 " 10

0

1

2

3

4

5

6

4

5

6

7/17/2019 Jawaban UAS or 1_2014


7/17/2019 Jawaban UAS or 1_2014


'1=4

I% 4

76 >4, 2#?

$@.% ar)na '1 sua

,esult-

/1 0 &

/2 0 2#8

< 0 4#$

12

Garis 1

Garis 2

Garis 3

12

Garis 1

Garis 2

Garis 3

Garis 4

Garis 1

7/17/2019 Jawaban UAS or 1_2014


12

Garis 2

Garis 3

Garis 4

12

Garis 1

Garis 2

Garis 3

Garis 4

7/17/2019 Jawaban UAS or 1_2014


I% 1

"2 >3", 3?

'1=3 '13I% 2 I% 3

"2 >3", 3? 74 >3, 26?

$@.% ar)na '1 sua in!)&)r

'13

I% 5

74 >3, 26?

in!)&)r $@.% ar)na '1 sua in!)&)r

7/17/2019 Jawaban UAS or 1_2014


7/17/2019 Jawaban UAS or 1_2014


Subject to: '1 '2

4 2#

x1 ite!e#

Max Z = -x1+ 4 x

2

-10 x1 + 20 x

2 ≤ 22

5 x1 + 10 x

2 ≤ 49

x1 ≤ 5

7/17/2019 Jawaban UAS or 1_2014


< Cons!rain! 1

76 1"

Cons!rain! 2

4#

Con!rain! 34

7/17/2019 Jawaban UAS or 1_2014


!aun )- Cummula!i)

1#"1 1 5400

1#"2 2 5600

1#"3 4 5"00

1#"4 6 5700

1#"5 7 5500

1#"6 " 5200

Common !a' 1500

+a' ()mbua!an 1 !aun 3 (lan!

187$

$ D$" 19: d:

" 0 0 0

7 6700 6700 1

1875

55

" 1 2 9:

" 0 0

7 6700 7000 67006 13700 12500 12500

187&

&&

" 1 2 3

" 0

7 6700 7200

6 12500 13#00 12#00

5 1#700 1#600 1"600

4 25400 25300

1873

3D2

" 1 2 3

6 12500 14000 13100

5 1"600 1#"00 1#"00 1"#00

4 25300 25#00 25600 25600

3 32600 31700 31400

2 3"400 37500

Cos! ()r (lan! > '1000?

7/17/2019 Jawaban UAS or 1_2014


1872

2D2

" 1 2 3

3 31400 32400 31300 30"00

2 37500 3"500 3"000 36#001 44600 44100 43600

1871

1D1

" 1 2 3

0 50500 4#200 4"500

Cost minimum &75""

tahun 1 3 3

tahun 2 3 6

tahun 3 0 6

tahun & 0 6

tahun 5 2 "

tahun $ 0 "

Plant yan*

di6an*un

Accumulated

lant

7/17/2019 Jawaban UAS or 1_2014


d:

0

12

9: d:

0 0

6700 0

12500 0

1"600 3

25300 3

9: d:

12500 0

1"600 0

25300 0

31400 3

37500 3

7/17/2019 Jawaban UAS or 1_2014


9: d:

30"00 3

36#00 343600 3

9: d:

4"500 3

jawaban uas or 1_2014

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