Taskl: Main Task - Solve below two problems: (Group F) Problem 1: Given the following network with activities and times estimated in weeks, A D. 12 Start 4 Finish F 14 6. C G 8 10 Normal Crash Normal Crash Cost 8,000 12,000 5,000 10,000 10,000 6,000 5,000 9,000 12,000 5,000 Activity Time 12 14 Time Cost A 8 10 7,500 8 3 8,000 7,000 4 3 F 6 10 8,000 a) Develop an activity schedule. b) Find the critical path. In how many weeks can the trade show take place? c) What is the total project cost using the normal times? d) If a deadline of 17 weeks is imposed, what crashing decisions do you recommend to meet the imposed completion time with at least cost? Work though the network and attempt to make the crashing decision by inspection. e) What added project cost is required to meet the 17 weeks completion time? Problem 2: Solve the following problem by Simplex Method by explaining at each stage. You may use The Management Scientist output to confirm answers. Мах 7x1+ 5x2 2x1 + x2 < 100 4x1 + 3x2< 240 s.t. X1, x, 20 (BCDE

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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Task1: Main Task - Solve below two problems:
(Group F)
Problem 1:
Given the following network with activities and times estimated in weeks,
A
12
D
5
E
Start
4
Finish
F
14
10
Normal Crash Normal
Time
Crash
Cost
Activity
A
Time
Cost
8,000 12,000
7,500
12
8
14
10
5,000
10,000 10,000
6,000
8
8
3
8,000
4
3
5,000
7,000
9,000 12,000
8,000
G
10
8
5,000
a) Develop an activity schedule.
b) Find the critical path. In how many weeks can the trade show take place?
c) What is the total project cost using the normal times?
d) If a deadline of 17 weeks is imposed, what crashing decisions do you recommend to
meet the imposed completion time with at least cost? Work though the network and
attempt to make the crashing decision by inspection.
e) What added project cost is required to meet the 17 weeks completion time?
Problem 2:
Solve the following problem by Simplex Method by explaining at each stage. You
may use The Management Scientist output to confirm answers.
Мах
7x1 + 5x2
2x1 + x2 < 100
4x1 + 3x2 < 240
s.t.
Х, х, >0
(BCDELO
Transcribed Image Text:Task1: Main Task - Solve below two problems: (Group F) Problem 1: Given the following network with activities and times estimated in weeks, A 12 D 5 E Start 4 Finish F 14 10 Normal Crash Normal Time Crash Cost Activity A Time Cost 8,000 12,000 7,500 12 8 14 10 5,000 10,000 10,000 6,000 8 8 3 8,000 4 3 5,000 7,000 9,000 12,000 8,000 G 10 8 5,000 a) Develop an activity schedule. b) Find the critical path. In how many weeks can the trade show take place? c) What is the total project cost using the normal times? d) If a deadline of 17 weeks is imposed, what crashing decisions do you recommend to meet the imposed completion time with at least cost? Work though the network and attempt to make the crashing decision by inspection. e) What added project cost is required to meet the 17 weeks completion time? Problem 2: Solve the following problem by Simplex Method by explaining at each stage. You may use The Management Scientist output to confirm answers. Мах 7x1 + 5x2 2x1 + x2 < 100 4x1 + 3x2 < 240 s.t. Х, х, >0 (BCDELO
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