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Determine optimum time cost combination.

The details of activities are given below:

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Assuming indirect cost as Rs. 1000/- day, determine optimum time – cost combination.

1 Answer
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$\text{Cost Slope} = \frac{\text{Crash Cost - Normal Cost}}{Normal Time - Crash Time}$

Stage 1 : - All Normal

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Critical path = 10-30-60-70

Project duration = 15 days

Stage 2 : - All Crash

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Critical path = 10-30-60-70

Project duration = 8 days

Stage 3 : - All Normal + Crash E by 3 days

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Critical path = 10-30-60-70 / D-E-F

Project duration = 12 days

Stage 4 : - Stage 3 + Crash D by 2 days

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Critical path = 10-20-50-70 / A-B-G

10-30-60-70 / D-E-F

Stage Description Duration Direct Indirect Addition Total
1 All Normal 15 47000 $15 \times 1000 = 15000$ - 62000
2 All Crash 8 76000 $8 \times 1000 = 8000$ - 84000
3 All Normal + Crash E by 3 days 12 47000 $12 \times 1000 = 12000$ $3 \times 1000 = 3000$ 62000
4 Stage 3 + Crash D by 2 days 10 47000 $10 \times 1000 = 10000$ $3000 + 2 \times 1500$ 63000

Optimum cost = Rs. 62000/-

Optimum duration = 12 days

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