Question

Development of Version 2.0 of a particular accounting software product is being considered by Jose​ Noguera's technology firm in Baton Rouge. The activities necessary for the completion of this project are listed in the following​ table:

Activity	Normal Time (weeks)	Crash Time (weeks)	Normal Cost	Total Cost with Crashing	Immediate Predecessors(s)
A	4	3	$2,200	$2,850	---
B	2	1	$2,100	$2,700	---
C	3	3	$750	$750	---
D	8	4	$2,500	$2,800	A
E	6	3	$800	$1,250	B
F	3	2	$3,200	$4,400	C
G	4	2	$1,400	$1,800	D, E

​a) Based on the given information regarding the activities for the​ project, the project length​ = _______ weeks ?

b) The total cost required for completing this project on normal time​ = _______ ?

​c) If you wish to reduce the time required to complete this project by 1​ week, which activity should be​ crashed, and how much will this increase the total​ cost?

The critical path with the longest length through the project is  _______ ?

Answer 1

Path and Duration are:

ADG = 16

BEG = 12

CF = 6

a) Project length = 16 weeks

b) Total cost = 200+2100+750+2500+800+3200+1400 = 12,950 $

c) To reduce project length by 1 week, need to reduce from path ADG.

Cost of crashing per week = (Crash cost-Normal cost)/(Normal time-Crash time)

Crashing cost of A = (2850-2200)/(4-3) = 650

Crashing cost of D = (2800-2500)/(8-4) = 75

Crashing cost of G = (1800-1400)/(4-2) = 200

So, Crash D by 1 week with increase in cost by 75$ in the Total cost of 12950$

The critical path with longest length is ADG