7/24/2019 Class 1 - CPM Problem

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CPM Problem: 03rdFeb 2016

Dear all

A project consists of the followin tas!s" #he predecessor relationship and thed$ration of the tas!s are i%en below"

Draw the precedence diaram and emplo& the CPM techni'$e to identif& thecritical path"

TaskPredecessor

(s)Duration(weeks)

Crash Time(Weeks)

Normal Cost($)

Crash Costper week (S)

A ( ) 2 *000 *00

+ A 3 2 3*00 1000

C A * 3 ,000 -00

D + - ) 1*000 ,00. +/C 6 3 20000 1)00

F D ) 3 6000 )00

./F 6 3 ,000 00

F * 2*000 1100

/ * 2 000 600

a 4hat is the critical path5 4hat is the d$ration of the critical path5

b 4hat is the normal cost of the project5

c f the project has to be nished in 26 wee!s/ what is the increase in cost54hich tas!s wo$ld &o$ choose to crash5 n what order5 4hat wo$ld be thecritical path7s8 in this case5

d 4hat is the minim$m time needed to nish the project5 4hat is the cost ofthe project in this case5

7/24/2019 Class 1 - CPM Problem

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9ol$tion: