$\backslash$table$[[$Activity$,$Description,$\backslash$table$[[$Immediate$],[$Predecessor$]],$Time $($weeks$),$Cost $(1000$s$)],[$Normal$,$Crash,Normal,Crash$],[$A$,$Plan needs,$-,10,8,30,70],[$B$,$Order equipment,A$,8,6,120,150],[$C$,$Install equipment,B$,10,7,100,160],[$D$,$Set up training lab,A$,7,6,40,50],[$E$,$Conduct training course,D$,10,7,120,150],[$F$,$Test system,C$.$ E$,3,3,60,-]]$

a$.$ Develop a project network.

b$.$ Develop an activity schedule.

c$.$ What are the critical activities, and what is the expected project completion time?

d$.$ Assume that the company wants to complete the project in six months or $26$ weeks. What crashing decisions do you recommend to meet the desired completion time at the least possible cost? Work through the network and attempt to make the crashing decisions by inspection.

e$.$ Develop an activity schedule for the crashed project.

f$.$ What added project cost is required to meet the six$-$month completion time?

g$.$

The indirect costs for each duration are given:

$\backslash$table$[[$Project Duration,Indirect cost $(1000$s$)],[31,500],[30,450],[29,400],[28,350],[27,300],[26,250],[25,210],[24,190]]$

Rector Building offers you $10,000$ for every week you shorten the project from the original network.

a$)$ Would you take it$?$

b$)$ What is the optimum cost$-$time schedule? Compute the direct, indirect and total costs for each duration as well as identify the crashed activity.

c$)$ How much do you manage to get from the offer?

This is a project and operation management subject.

Please answer all and explain. You may refer to texttbook: an introduction to management science: quantitative approach to decision making by Anderson, D$.$R Sweeny