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Find the shortest route from Node 1 to Node 6. Find the shortest route from Node 1 to Node 6.   A)  300 B)  450 C)  550 D)  650 E)  None of the above


A) 300
B) 450
C) 550
D) 650
E) None of the above

F) None of the above
G) A) and B)

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The maximal-flow model might be of use to an engineer looking for spare capacity in an oil pipeline system.

A) True
B) False

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The origin or beginning node in a network is called ________.


A) home
B) delta
C) source
D) mouth
E) sink

F) C) and E)
G) A) and B)

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Find the shortest route from Node 1 to Node 5. Find the shortest route from Node 1 to Node 5.   A)  200 B)  350 C)  250 D)  450 E)  None of the above


A) 200
B) 350
C) 250
D) 450
E) None of the above

F) C) and D)
G) B) and D)

Correct Answer

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In the minimal-spanning tree technique, it is necessary to start at the last node in the network.

A) True
B) False

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The minimal-spanning technique would best be used


A) to assign workers to jobs in the cheapest manner.
B) to determine LAN network wiring within a building.
C) to minimize traffic flow on a busy highway.
D) by a trucking company making frequent but repeatable drops.
E) to determine the number of units to ship from each source to each destination.

F) C) and D)
G) A) and E)

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In the minimal-spanning tree technique, if there is a tie for the nearest node, that suggests that there may be more than one optimal solution.

A) True
B) False

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Which of the following problems can be solved as a linear program using binary decision variables?


A) maximal-flow problem
B) shortest-route problem
C) minimal-spanning tree problem
D) A and B
E) A, B, and C

F) None of the above
G) A) and B)

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The maximal-flow technique would be helpful to city planners in determining how freeways should be expanded.

A) True
B) False

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A line in a network that may represent a path or a route is called a(n) ________.


A) arc
B) branch
C) line
D) fork
E) sink

F) C) and E)
G) A) and B)

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A point in the network, that is at the beginning or end of a route is called a(n) ________.


A) arc
B) branch
C) line
D) node
E) source

F) C) and D)
G) A) and D)

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Given the following nodes and distances, determine the minimal length of cable necessary to connect all nodes, using Node 2 as the starting point. Given the following nodes and distances, determine the minimal length of cable necessary to connect all nodes, using Node 2 as the starting point.   A)  1200 B)  1100 C)  900 D)  700 E)  None of the above


A) 1200
B) 1100
C) 900
D) 700
E) None of the above

F) C) and E)
G) C) and D)

Correct Answer

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Find the shortest route from Node 1 to Node 5 using the shortest-route technique. Find the shortest route from Node 1 to Node 5 using the shortest-route technique.   A)  350 B)  400 C)  450 D)  600 E)  None of the above


A) 350
B) 400
C) 450
D) 600
E) None of the above

F) B) and E)
G) D) and E)

Correct Answer

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Find the shortest route from Node 6 to Node 1. Find the shortest route from Node 6 to Node 1.   A)  branches 9, 7, and 2 B)  branches 8, 6, and 2 C)  branches 8, 6, 7, and 1 D)  branches 9, 5, and 1 E)  None of the above


A) branches 9, 7, and 2
B) branches 8, 6, and 2
C) branches 8, 6, 7, and 1
D) branches 9, 5, and 1
E) None of the above

F) A) and B)
G) C) and E)

Correct Answer

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Given the following distances between destination nodes, what is the minimum distance that connects all the nodes? Given the following distances between destination nodes, what is the minimum distance that connects all the nodes?   A)  100 B)  150 C)  550 D)  1225 E)  None of the above


A) 100
B) 150
C) 550
D) 1225
E) None of the above

F) B) and D)
G) C) and D)

Correct Answer

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Given a network with the following distances: Given a network with the following distances:   (a) Determine which nodes should be connected to get the minimum distance flowing from Node 1 through Node 7. (b) Determine the minimum distance. (a) Determine which nodes should be connected to get the minimum distance flowing from Node 1 through Node 7. (b) Determine the minimum distance.

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(a) Connec...

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Find the shortest route from Node 1 to each of the other nodes in the transportation network represented below. Find the shortest route from Node 1 to each of the other nodes in the transportation network represented below.

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Given the following traffic flows, in hundreds of cars per hour, what is the maximum traffic flow from City 1 to City 7? Given the following traffic flows, in hundreds of cars per hour, what is the maximum traffic flow from City 1 to City 7?   A)  1200 B)  1400 C)  900 D)  800 E)  None of the above


A) 1200
B) 1400
C) 900
D) 800
E) None of the above

F) D) and E)
G) B) and D)

Correct Answer

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Pipeline fluid flows are indicated below. Determine the maximum flow from Node 1 to Node 3. Pipeline fluid flows are indicated below. Determine the maximum flow from Node 1 to Node 3.   A)  100 B)  400 C)  500 D)  700 E)  None of the above


A) 100
B) 400
C) 500
D) 700
E) None of the above

F) C) and E)
G) B) and E)

Correct Answer

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The shortest-route technique might be logically used for


A) finding the longest time to travel between two points.
B) finding the shortest travel distance between two points.
C) finding the most scenic route to allow travel to several places during a trip on spring break.
D) connecting all the points of a network together while minimizing the distance between them.
E) None of the above

F) None of the above
G) B) and C)

Correct Answer

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