Management Science- CPM/PERT network The Stone River Textile Mill was inspected

Question

Management Science- CPM/PERT network The Stone River Textile Mill was inspected by OSHA and found to be in violation of a number of safety regulations. The OSHA inspectors ordered the mill to alters some existing machinery to make it safe(add safety guards, etc.); purchase some new machinery to replace older, dangerous machinery; and relocate some machinery to make safer passeges and unobstructed entrances and exit. OSHA gave the mill only 35 weeks to make the changes; if the changes were not made by then, the mill would be fined $300,000. The mill determined the activities in a CPM/PERT network that would have to be completed and cn estimated the indicated activity times, as shown in the table. Construct the project network for this project and determine the flowing: Expected activity times Earliest and latest activity times and activity slack. The critical path The expected project duration (Completion time) and variance. The probability' that the mill will be fined $300.000. The probability that the mill will be fined greater than $300,000

Explanation / Answer

a)TE=To+Tp+4*Tm/6

A= 1+ 3+ 4* 2/6

=12/6

=2

B=2+8+4*5/6

=10+20/6

=5

C=1+5+4*3/6

=6+12/6

=18/6

=3

D=7+25+4*10/6

=32+40/6

=72/6

=12

E=3+11+4*7/6

=14+28/6

=42/6

=7

F=10+26+4*15/6

G=4+14+4*9/36

=18+36/36

=54/36

=1.5

H=2+7+4*3/6

=9+12/6

=3.5

I=2+6+4*4/6

=8+16/6

=24/6

=4

J=2+8+4*5/6

=10+20/6

=30/6

=5

K=2+2+4*2/6

=4+8/6

=12/6

=2

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c) Critical path

a-d-h-k

=2-10-3-2=17

a-e-h-i-k

=2-7-3-4-2=18

a-e-i-k

=2-7-4-2=15

b-f-i-k

5-15-4-2

=5-15-4-2=26

c-g-j-k

=3-N/A-5-2=10

G value not able to see in the question, so i have mentioned not available

______________________________________________________________

d) Project duration expected=26 weeks

______________________________________________________________

e) The probability is very high to complete the task within 26 weeks need not to be fine.

26 weeks/35 weeks

=0.74 of probability not to be fine.

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