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slnsch14 - Sheet1 pg 509 Prob 14.4 |-| B->| 2 | |-| D |-|...

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Sheet1 Page 1 pg. 509 Prob. 14.4 |---| B /->| 2 |-\ /- |---| -\ D /- -\ |---| A -->|---| E |---| G |---| | 1 |-------------------->| 3 |------->| 5 |-------->| 6 | |---|\- |---| ->|---| |---| \- -/ \- C |---| / F \------------->| 4 |--- |---| ----------------- pg. 509 Prob. 14.5 ActtimeESEFLSLFSlackCP A202131513No B505050Yes C101111211No D105155150Yes E3151815180Yes F617121811No G8182618260Yes Critical path is given by Activities B-D-E-G. The project completion time is 26 days. ----------------- 14.6 ACG t=6t=3 t=10 |------------>2------------------------->4--------------| | \ | | | \ D || 1 \t=2 || | -------------------- \ |6 | |------------------------\-|| | |E t=4\| |------------>3------------------------->5--------------| BFH t=5 t=6t=7 -----------------
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Sheet1 Page 2 pg. 509 Prob. 14.7 ActtimeESEFLSLFSlackCP A606060Yes B505050Yes C369690Yes D26810124No E459590Yes F65116121No G109199190Yes H7111812191No There are two critical paths given by activities A-C-G and B-E-G. Total project completion time is 19 days. ----------------- pg. 510 Prob. 14.8 Expected Time = (a + 4m + b) / 6 Variance = [(b - a) / 6]^2 Act.ambExp. timeVar. A3685.83.69 B2443.67.11 C1232.11 D6787.11 E2464.44 F61014101.78 G1242.17.25 H36961 I10111211.11 J14162016.331 K28107.331.78 ----------------- pg. 510 Prob. 14.9 ActtimeESEFLSLFSlackCP A5.8305.837.17137.17No B3.6703.675.3395.33No C202020Yes D729290Yes E49139130Yes F10132313230Yes G2.171315.1715.83182.83No H6232923290Yes I1115.1726.1718292.83No J16.33218.332036.3318No K7.332936.332936.330Yes
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Sheet1 Page 3 The critical path are activities C-D-E-F-H-K. The average project completion time is 36.33 days. ----------------- 14.1 Expected completion time for the project is 2+7+4+10+6+7.33=36.33 days Project variance = sum of variances of activities on critical path = 0.11+0.11+0.44+1.78+1.00+1.78 =5.22 Standard deviation = Sqr(5.22)= 2.28 P(t<=40) = P[z<= (40-36.33)/2.28 ] = P[z<=1.61] = 0.946 ----------------- pg. 511 Prob. 14.11
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