NETWORK ANALYSIS I $($PROBLEM$)$

Critical Path Method $($CPM$)$

The project of a minor redesign of a product and its associated packaging consists of following activities:

$\backslash$table$[[$Activity$,,$Completion$],[$number$,$time $($weeks$),],[1,$Redesign product,$6],[2,$Redesign packaging,$2],[3,$Order and receive components for redesigned product,$3],[4,$Order and receive material for redesigned packaging,$2],[5,$Assemble products,$4],[6,$Make up packaging,$1],[7,$Package redesigned product,$1],[8,$Test market redesigned product,$6],[9,$Revise redesigned product,$3],[10,$Revise redesigned packaging,$1],[11,$Present results to the Board,$1]]$

$\backslash$table$[[\backslash$table$[[$Activity$],[$number$]],\backslash$table$[[$activity$],[$number$]]],[$must be finished before,can start$],[2,4],[3,5],[4,6],[5,6,7],[7,8],[8,9],[8,10],[9,10,11]]$

$($i$)$ Draw the project network diagram.

$($ii$)$ Find the critical path and the minimum time required to complete the project.

$($iii$)$ Also compute the slack time available with each activity.