The product development group at Landon Corporation has been working on a new co

Question

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 learned 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:

The activity time estimates (in weeks) are as follows:

Develop an activity schedule for this project and identify the critical activities. If required, round your answers to two decimal places.

What is the probability that the project will be completed so that Landon Corporation may introduce the new product within 26 weeks? Within 28 weeks? If required, round your answers to two decimal places.

P(26 weeks) =

P(28 weeks) =

Activity Optimistic Most Probable Pessimistic A 2 4 6 B 2.5 4.5 6 C 5 7 8 D 2.5 3.5 5 E 6 9 12 F 7 9.5 12 G 5.5 7.5 8 H 5 7 10 I 2 3.5 7 J 4 5.5 9

Explanation / Answer

Critical path time = 26.42

Standard Deviation of critical path = 3.25

z = (26 - 26.42) / 3.25 = - 0.13

from z table

probability = 0.45224 = 45.22%

z = (28 - 26.42) / 3.25 = 0.49

from z table

probability = 0.68793 = 68.80%

Activity o m p Expected Time Standard Deviation Variance Critical Activity A 2 4 6 4.00 0.67 0.44 NO B 2.5 4.5 6 4.42 0.58 0.34 YES C 5 7 8 6.83 0.50 0.25 NO D 2.5 3.5 5 3.58 0.42 0.17 NO E 6 9 12 9.00 1.00 1.00 YES F 7 9.5 12 9.50 0.83 0.69 NO G 5.5 7.5 8 7.25 0.42 0.17 NO H 5 7 10 7.17 0.83 0.69 YES I 2 3.5 7 3.83 0.83 0.69 NO J 4 5.5 9 5.83 0.83 0.69 YES

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.