A project consists of five activities as shown in the following table. Activity Floor sanding Floor buffing Optimistic Time (hr) Most Probable Time (hr) 4 4 0.5 3 5 3 5 Paint mixing Wall painting Ceiling painting 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. 1 4 Pessimistic Time (hr) 7.5 6 6 1.5 11 9

Practical Management Science
6th Edition
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Author:WINSTON, Wayne L.
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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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(b) What is the expected completion time (in hours) of this project?
hr
(c) What is the probability that the project can be completed within fourteen hours? (Round your answer to four decimal places.)
Transcribed Image Text:(b) What is the expected completion time (in hours) of this project? hr (c) What is the probability that the project can be completed within fourteen hours? (Round your answer to four decimal places.)
You may need to use the appropriate technology to answer this question.
A project consists of five activities as shown in the following table.
Activity
Floor sanding
Floor buffing
Paint mixing
Wall painting
Ceiling painting
Start
Optimistic Time (hr) Most Probable Time (hr)
Start
Floor
Buffing
Paint
Mixing
Naturally, paint mixing precedes the painting activities. Also,
(a) Construct the PERT/CPM network for this problem.
Floor
Sanding
4
Paint
Mixing
4
0.5
3
3
Paint
Wall
Paint
Ceiling
Paint
Ceiling
Paint
Wall
5
5
1
4
7.5
Floor
Sanding
Pessimistic Time (hr)
Floor
Buffing
Finish
6
Finish
6
ceiling painting and floor sanding must be dor
1.5
11
9
i
Start
Start
prior to floor buffing.
Floor
Sanding
Paint
Mixing
Floor
Buffing
Paint
Mixing
Paint
Ceiling
Paint
Wall
Paint
Wall
Paint
Ceiling
Floor
Buffing
Floor
Sanding
Finish
Finish
Transcribed Image Text:You may need to use the appropriate technology to answer this question. A project consists of five activities as shown in the following table. Activity Floor sanding Floor buffing Paint mixing Wall painting Ceiling painting Start Optimistic Time (hr) Most Probable Time (hr) Start Floor Buffing Paint Mixing Naturally, paint mixing precedes the painting activities. Also, (a) Construct the PERT/CPM network for this problem. Floor Sanding 4 Paint Mixing 4 0.5 3 3 Paint Wall Paint Ceiling Paint Ceiling Paint Wall 5 5 1 4 7.5 Floor Sanding Pessimistic Time (hr) Floor Buffing Finish 6 Finish 6 ceiling painting and floor sanding must be dor 1.5 11 9 i Start Start prior to floor buffing. Floor Sanding Paint Mixing Floor Buffing Paint Mixing Paint Ceiling Paint Wall Paint Wall Paint Ceiling Floor Buffing Floor Sanding Finish Finish
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