Question

19. The product development group at Landon Corporation has been working on a new computer software product that has the potential to capture a large market share. Through outside sources, Landon's management leamed that a competitor is working to introduce a similar product. As a result, Landon's top management increased its pressure on the product development group. The group's leader turned to PERT/CPM as an aid to scheduling the activities remaining before the new product can be brought to the market. The project network is as follows: All Rights Reserved. May be copied, samedor duplicated in whole or input chectronic rights, me third party content may be suppressed from the Book Chapter de des sollyalect the overall learning experience Centelemine the data ishin

Answer 1

Date Page b te Variance Activity a A 3 В. 3 С 4 D 2 E 6 7.5 G 4.5 Н. I J 4 5 3.5 7 5 6 3 4 10 14 8.5 12.5 6 7.5 6 13 25 6 5 6 4 4 5 3 10 a 6 7 3 5 0:11 0.44 oll 6.1) 1.78 0.69 0.25 ). 78 0.44 0.11 trouva Expected time (te) = atum tb 6 ܫܐ Variance وط) b-a Possible Paths Duration. A-D-I B-C-D-I B-E-G- B-E-H-J B-ZF-J 4+3+3= 10 4+5+3+3= 15 4+10+6+3 =23 4+10+7 +5= 26 4 + 9+5 = 18 Since critical path is the longest bath Therefore, Critical path B- E-H-J Scanned by TapScanner

Dale Page Project duration=86 Slays_weeks. (b) Variance of Critical path => 0:44+):78 + 1.78+ 0.11 => 4:01 Standard deviation (o= y Variance 4:11] Standard deviation co 2.0276 Probability of completing the project in 2 5 weeks >> P ( X = 25) P ( 2 = x-u => PZ= 25-26 6) 2.0276 => PG=0.49) * Use - table to find probability z = -0.49 P ( X L 25) = 0.3121 within Theofase, bobability of completing broject -0.3121 PE at 25 days Scanned by TapScanner

within 30 a Probability of completing the project days P6X530) - P/ 2=X_key P(za =P / 2 = 30-26 2.0276 => P (2=1.97) probability * Use z- table to find value g at 2= 1.97 PCX 230) -0,97.56 Therefore, probability of completing the project within 30 days = 0.9756 Scanned by TapScanner

All the parts have been done as shown.