(a) The following tasks are to be completed on vehicles at a service station: To A B с D E F A 139 112 110 132 112 B 139 122 105 109 110 From C 112 122 117 126 108 D 110 105 117 134 111 E 132 109 126 134 118 F 112 110 108 11 118 She plans to start her joumey from city A and to return back to this city after visiting all the cities without visiting any city more than once. i. Find the sequence of the cities for her visit programme for minimum total distance travelled. ii. What is the total distance travelled?
(a) The following tasks are to be completed on vehicles at a service station: To A B с D E F A 139 112 110 132 112 B 139 122 105 109 110 From C 112 122 117 126 108 D 110 105 117 134 111 E 132 109 126 134 118 F 112 110 108 11 118 She plans to start her joumey from city A and to return back to this city after visiting all the cities without visiting any city more than once. i. Find the sequence of the cities for her visit programme for minimum total distance travelled. ii. What is the total distance travelled?
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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Transcribed Image Text:QUESTION TWO
(a) The following tasks are to be completed on vehicles at a service station:
To
A
B
с
D
E
F
A
139
112 110
132
112
B
139
122
105
109
110
From
C
112
122
117
126
108
D
110
105 117
134
111
E
132
109 126
134
118
F
112 110 108
111
118
She plans to start her journey from city A and to return back to this city after visiting all
the cities without visiting any city more than once.
i.
Find the sequence of the cities for her visit programme for minimum total
distance travelled.
ii.
What is the total distance travelled?
(b) State the dual of the following and solve the same by the simplex method:
Maximize
Z=4x₂ + 2x₂
subject to
2x+3x₂ + 5x₂ 22,
3x₁ + x₂ +7x, ≤ 3,
x₂ + 4x₂ + 6x₂ ≤5,
x₁,x₂20,x, unrestricted
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