A project consists of five activities as shown in the following table. Activity Floor sanding Floor buffing Paint mixing Wall painting Ceiling painting Optimistic Time (hr) Most Probable Time (hr) 4 4 0.5 2 3 5 5 1 3 7.5 Pessimistic Time (hr) 6 6 1.5 10 9 Naturally, the paint mixing precedes the painting activities. Also, both ceiling painting and floor sanding must be done prior to floor buffing. (a) Construct the PERT/CPM network for this problem.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A project consists of five activities as shown in the following table.
Activity
Floor sanding
Floor buffing
Paint mixing
Wall painting
Ceiling painting
Optimistic Time (hr) Most Probable Time (hr)
4
4
0.5
2
3
5
5
Сл
1
3
7.5
Pessimistic Time (hr)
6
6
1.5
10
9
Naturally, the paint mixing precedes the painting activities. Also, both ceiling painting and floor sanding must be done prior to floor buffing.
(a) Construct the PERT/CPM network for this problem.
Transcribed Image Text:A project consists of five activities as shown in the following table. Activity Floor sanding Floor buffing Paint mixing Wall painting Ceiling painting Optimistic Time (hr) Most Probable Time (hr) 4 4 0.5 2 3 5 5 Сл 1 3 7.5 Pessimistic Time (hr) 6 6 1.5 10 9 Naturally, the paint mixing precedes the painting activities. Also, both ceiling painting and floor sanding must be done prior to floor buffing. (a) Construct the PERT/CPM network for this problem.
O
O
uct the
Start
Start
Floor
Sanding
Paint
Mixing
Floor
Buffing
Paint
Mixing
for this problem.
Paint
Ceiling
Paint
Wall
Paint
Wall
Paint
Ceiling
Floor
Buffing
Floor
Sanding
(b) What is the expected completion time (in hours) of this project?
hr
Finish
Finish
Start
Start
Floor
Sanding
Paint
Mixing
Floor
Buffing
Paint
Mixing
(c) What is the probability that the project can be completed within fourteen hours? (Round your answer to four decimal places.)
Paint
Ceiling
Paint
Wall
Paint
Wall
Paint
Ceiling
Floor
Buffing
Floor
Sanding
Finish
Finish
Ⓡ
Ⓡ
Transcribed Image Text:O O uct the Start Start Floor Sanding Paint Mixing Floor Buffing Paint Mixing for this problem. Paint Ceiling Paint Wall Paint Wall Paint Ceiling Floor Buffing Floor Sanding (b) What is the expected completion time (in hours) of this project? hr Finish Finish Start Start Floor Sanding Paint Mixing Floor Buffing Paint Mixing (c) What is the probability that the project can be completed within fourteen hours? (Round your answer to four decimal places.) Paint Ceiling Paint Wall Paint Wall Paint Ceiling Floor Buffing Floor Sanding Finish Finish Ⓡ Ⓡ
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