ProgramEvaluation and Review Technique (PERT). It is aproject management tool used to schedule, organize, andcoordinate tasks within a project. It is basically a methodto analyse the tasks involved in completing a givenproject.

You are the projectmanager in charge of planning and coordinating the setting up of a new plant in the manufacturing sector for your company. Youhave listed a number of key activities needed for thecompletion of the project. Details of the activities are tabulated below:

Activity	Most optimistic time (a)	Most likely time (m)	Most pessimistic time (b)
(1-2)	11	11.5	15
(2-3)	11	12	13
(2-4)	11	13	15
(3-5)	13	14	15
(4-5)	12	13	14
(4-6)	13	15	17
(5-7)	14	15	16
(6-7)	16	17	18
(7-8)	12	14	16
(7-9)	15	16	18
(8-10)	11	12	13
(9-10)	13	15	17

(i) Construct a PERT network. (17marks)

(ii) State the critical path and thecompletion time.(2 marks)

(iii) Calculate the variance for eachevent. (6 marks)