Question: Question 3 [30] The tabulation and network diagram below represents a retooling project for a manufacturing company. The retooling is necessary to qualify for funding

Question 3 [30]

The tabulation and network diagram below represents a retooling project for a manufacturing company. The retooling is necessary to qualify for funding from a multinational agency for expansion of the plant. The retooling project was originally scheduled for a later date but has to be brought forward and crashed to meet the funding application deadline.

  1. Find the cost slope, maximum reduced time and the cost for the project for normal time. [5]
  2. Hence, crash the project to meet a deadline of 18 days and determine the associated cost. [20]

Activity

I.D.

Cost

Slope

Maximum Reduced

Time (d)

Direct Cost
Normal Crash
Time (d) Cost Time (d) Cost
A 6 $500 4 $800
B 3 $200 2 $350
C 5 $500 4 $700
D 3 $200 1 $500
E 2 $300 1 $550
F 5 $400 3 $900
G 5 $150 4 $350
H 8 $550 4 $1750
F

Given that the project indirect cost is $2200 for normal duration and reduces by $170 per day of reduction. Use the table below to determine and state:

  1. The project duration and total cost at the optimal point in the time reduction process. [3]
  2. How much will the crashed project cost (at this optimal point) compared to the project under normal duration.[2]

Duration (days) Indirect Cost Direct Cost Total Project Cost

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