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1 | P a g e
MINISTRY OF ENERGY AND MINERALS
MINERAL RESOURCE INSITUTE
DEPARTMENT OF GENERAL STUDIES
COURSE NAME; LINEAR PROGRAMNING AND CRITICAL PATH
METHOD
COURSE CODE; MTT06101
TUTOR’S NAME; Mr. K. RASTON
TASK; GROUP ASSIGNMENT
GROUP NO 07
STUDENT NAME ADMISSION
NUMBER
1 BASHIRU CHUMA 857MID13
2 SAID O MAKUPULA 890MID13
3 ABDALLAH J OLONYA 852MID13
4 SHIDA M NYANDA 1130MID13
5 GREYSON KIPANGA 868MID13
6 VENANCE E MWAFULA 894MID13
2 | P a g e
The REYNA & SAB Oil Company from Mkotokuyana has been given a license by Tanzania Petroleum
development cooperation to explore and extract hydrocarbon in MKOMA onshore block 3. In order to complete
their mission in time with reasonable cost they employed group 07 member of petroleum geoscientist of third
year at Mineral resource institute for planning and scheduling the project.
The project involves the certain activities which are as it explained in the table below
Activity Duration
1 Geochemistry method 5
2 Seismic method 2
3 Magnetic and gravity method 3
4 Geochemistry data analysis 2
5 Seismic data analysis 2
6 Gravity and magnetic data analysis 3
7 Drilling 5
8 Reservoir modelling and estimation 10
SOLUTION FOR THE QUESTION
ASSUMPTION MADE
1. Geochemistry method let it be activity A
2. Seismic activities let it be activity B
3. Magnetic and gravity activities let it be activity C
4. Geochemical data analysis D
5. Gravity data analysis let it be activity E
6. Magnetic and gravity data analysis let it be activity F
7. Drilling let it be activity G
8. Production let it be activity I
3 | P a g e
A
5
activity Predecessor Duration(days)
1 Geochemistry method A - 5
2 Seismic method B - 2
3 Magnetic and gravity method C - 3
4 Geochemistry data analysis D A 2
5 Seismic data analysis E B 2
6 Magnetic and gravity data analysis F C 3
7 Drilling G E, F 5
8 Reservoir evaluation and estimation H G,D 10
ACTIVITY ON NODE NETWORK DIAGRAM
0 5 5 7
4 9 9 11 11 21 21 21
0 0 0 2 3 5
11 21 21 21
0 0 1 3 4 6 6 11 Float=0
0 3 3 6 6 11
Float=0
0 3 3 6
Float=0 Float=0
TIME ANALSYSIS
(i) Time for path: A,D,H = 5+2+10=17 Days
START B
H
G
F
E
D
C
Finish
4 | P a g e
(ii) Time for path B,E,G,H = 2+ 2+ 5+ 10 = 19 Days
(iii) Time for path C,F,G,H = 3+3+5+10 = 21 Days ( this is only critical path for the project)
The critical path for the said project is C,F,G,H identified by thick dark arrow with a minimum project duration of
21 days. Generally the table summarize the critical and non –critical activities of the project;
CRITICAL ACTIVITEES FLOAT= LF-EF NON-CRITICAL
ACTIVITIES
FLOAT= LF-EF
C FLOAT =3-3
= 0
A FLOAT = 9-5
=4
F FLOAT = 6-6
= 0
B FLOAT = 3-2
= 1
G FLOAT = 11-11
= 0
D FLOAT = 11-7
= 4
H FLOAT = 21-21
= 0
E FLOAT = 6-5
= 1

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Critical path project

  • 1. 1 | P a g e MINISTRY OF ENERGY AND MINERALS MINERAL RESOURCE INSITUTE DEPARTMENT OF GENERAL STUDIES COURSE NAME; LINEAR PROGRAMNING AND CRITICAL PATH METHOD COURSE CODE; MTT06101 TUTOR’S NAME; Mr. K. RASTON TASK; GROUP ASSIGNMENT GROUP NO 07 STUDENT NAME ADMISSION NUMBER 1 BASHIRU CHUMA 857MID13 2 SAID O MAKUPULA 890MID13 3 ABDALLAH J OLONYA 852MID13 4 SHIDA M NYANDA 1130MID13 5 GREYSON KIPANGA 868MID13 6 VENANCE E MWAFULA 894MID13
  • 2. 2 | P a g e The REYNA & SAB Oil Company from Mkotokuyana has been given a license by Tanzania Petroleum development cooperation to explore and extract hydrocarbon in MKOMA onshore block 3. In order to complete their mission in time with reasonable cost they employed group 07 member of petroleum geoscientist of third year at Mineral resource institute for planning and scheduling the project. The project involves the certain activities which are as it explained in the table below Activity Duration 1 Geochemistry method 5 2 Seismic method 2 3 Magnetic and gravity method 3 4 Geochemistry data analysis 2 5 Seismic data analysis 2 6 Gravity and magnetic data analysis 3 7 Drilling 5 8 Reservoir modelling and estimation 10 SOLUTION FOR THE QUESTION ASSUMPTION MADE 1. Geochemistry method let it be activity A 2. Seismic activities let it be activity B 3. Magnetic and gravity activities let it be activity C 4. Geochemical data analysis D 5. Gravity data analysis let it be activity E 6. Magnetic and gravity data analysis let it be activity F 7. Drilling let it be activity G 8. Production let it be activity I
  • 3. 3 | P a g e A 5 activity Predecessor Duration(days) 1 Geochemistry method A - 5 2 Seismic method B - 2 3 Magnetic and gravity method C - 3 4 Geochemistry data analysis D A 2 5 Seismic data analysis E B 2 6 Magnetic and gravity data analysis F C 3 7 Drilling G E, F 5 8 Reservoir evaluation and estimation H G,D 10 ACTIVITY ON NODE NETWORK DIAGRAM 0 5 5 7 4 9 9 11 11 21 21 21 0 0 0 2 3 5 11 21 21 21 0 0 1 3 4 6 6 11 Float=0 0 3 3 6 6 11 Float=0 0 3 3 6 Float=0 Float=0 TIME ANALSYSIS (i) Time for path: A,D,H = 5+2+10=17 Days START B H G F E D C Finish
  • 4. 4 | P a g e (ii) Time for path B,E,G,H = 2+ 2+ 5+ 10 = 19 Days (iii) Time for path C,F,G,H = 3+3+5+10 = 21 Days ( this is only critical path for the project) The critical path for the said project is C,F,G,H identified by thick dark arrow with a minimum project duration of 21 days. Generally the table summarize the critical and non –critical activities of the project; CRITICAL ACTIVITEES FLOAT= LF-EF NON-CRITICAL ACTIVITIES FLOAT= LF-EF C FLOAT =3-3 = 0 A FLOAT = 9-5 =4 F FLOAT = 6-6 = 0 B FLOAT = 3-2 = 1 G FLOAT = 11-11 = 0 D FLOAT = 11-7 = 4 H FLOAT = 21-21 = 0 E FLOAT = 6-5 = 1