Question: Consider the activities for Project Able , and their normal and crash times and costs as shown in the table below. Note that Crash Time

Consider the activities for Project Able, and their normal and crash times and costs as shown in the table below. Note that Crash Time is the fastest that the activity can be done and Crash Cost is the total cost to do the activity at its fastest. Assume that crash costs are linear.

ACTIVITY Normal Time (days) Crash Time (days) Normal Cost ($) Crash Cost ($)
S 3 2 1000 1600
T 2 1 2000 2700
U 1 1 300 300
V 7 3 1300 2600
W 6 5 850 900
X 2 1 4000 5000
Y 4 2 1500 2000
Z 8 7 900 1000

Suppose that based on the precedence relationships (not shown here), the project has two critical paths (at the normal times).

The critical paths are: S-V-X-Y and T-U-V-W

(a) Which activity or activities should be crashed in order to reduce the expected project completion time by one period, and what will it cost to do so?

The activity/activities to crash: The cost to do this crash: dollars.

(b) Suppose that after the crash you just did, the same paths are critical and no new critical path has emerged. Which activity or activities should be crashed now, in order to reduce the expected project completion time by one more period, and what will it cost to do this?

The activity/activities to crash now: The cost to do this crash: dollars.

(c) After your crash in part (b), what is the expected project completion time? days.

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