2. The diagram below was developed for the project launch of Kitty Condo, a new

Question

2. The diagram below was developed for the project launch of Kitty Condo, a new product in the luxury cat cage market Suppose that you are interested in finding ways to speed up the project at minimal additional cost Determine the schedule for completing the project in 30 days at minimum cost. Penalty and project overhead costs are negligible. Time and cost data for each activity are shown below Crash Time Cost ($) (days) Cost (s) 3,100 1270 4,500 2,750 1,300 1,050 3,000 2,000 650 700 1,550 600 3 2.200 8 1,325 1,500 1,700 1,100 3,800 18 17 Fill in the table below to show the proper schedule for completing the project in 30 days at minimum cost (ie., the activity times with crashing for each activity). (Enter your responses as whole numbers) Time according to Activity Activity schedule (days) Calculate the total cost for this project's schedule Total cost = $ Enter your response as a whole number.)

Explanation / Answer

Crash cost per day = (Crash cost - Normal cost)/(Normal day - Crash day)

Path & Duration are:

ADG = 34

AEH = 31

BFH = 27

CIH = 21

So, need to reduce path time of ADG & AEH

For ADG, the least cost is of G. So, crash G by 1 day. Next lowest is D, So crash D by 2 days.

The time of ADG and AEH = 31 days

Now, crash D & E by 1 day each to reduce to total project time to 30 days

A = 9

B = 11

C = 7

D = 4 (Crashed by 3 days)

E = 10 (Crashed by 1 day)

F = 5

G = 17 (Crashed by 1 day)

H = 11

I = 3

Total cost = Normal cost for all activities + Crash cost of D*3 + Crash cost of E*1 + Crash cost of G*1

= 1300+1050+3000+200+650+700+1550+600+2200 + 250*3 + 225*1 + 150*1 = 14175

Activity Normal Time Normal Cost Crash Time Crash Cost Crash cost per day A 9 1300 6 3100 600 B 11 1050 9 1270 110 C 7 3000 5 4500 750 D 7 2000 4 2750 250 E 11 650 8 1325 225 F 5 700 3 1500 400 G 18 1550 17 1700 150 H 11 600 9 1100 250 I 3 2200 1 3800 800

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