The table below provides cost and time estimates of seven activities of a project.

Activity Time estimates Direct cost (weeks) estimates(kwacha, in thousands Normal Crash Normal Crash (1,2) 2 10 (1, 3 ) 1 15 8 5 15 ( 2, 4 ) 21 4 3 20 24 (3, 4) 1 7 7 (3, 5) 2 1 8 (4, 6) 5 15 3 (5,6) 6 10 16 2 12 36 (i) Draw the project network corresponding to normal (ii ) time. Determine the critical path and the normal duration and normal cost of the project. TAILOKA FRANK PATSON OPERATIONS RESEARCH ACADEMIC YEAR 2020 10 (iii) Crash the activities so that the project completion time reduces to 9 weeks, with minimum additional cost