The table will include activities with their normal and crash times along with their respective costs. The objective is to reduce the project duration by crashing activities at the least cost.

i$.$ Project Completion Date

This can be determined by creating a network diagram, identifying the critical path, and summing the durations of the critical path activities.

ii$.$ Crash the project to $10$ weeks at the least cost b$)$ Ross Builders Manufacturers steel storage sheds for commercial use. Leonard Ross, President of Ross Builders, is contemplating producing sheds for home use. The activities necessary to build an experimental model and related data are given in the following table $3$ below:

Table $3$

$\backslash$table$[[$Activity$,$Normal time,Crash time,$\backslash$table$[[$Normal cost$],[($$$)]],$Crash cost $($$$),\backslash$table$[[$Immediate$],[$Predecessor$($s$)]]],[$A$,3,2,1,000,1,600,-],[$B$,2,1,2,000,2,700,-],[$C$,1,1,300,300,-],[$D$,7,3,1,300,1,600,$A$],[$E$,6,3,850,1,000,$B$],[$F$,2,1,4,000,5,000,$C$],[$G$,4,2,1,500,2,000,$D$,$E$]]$

i$.$ What is the project completion date?

ii$.$ Crash this project to $10$ weeks at the least cost.

iii. Crash this project to $7$ weeks $($which is the maximum it can be crashed$)$ at the least cost. $(20$ marks$)$