For numbers 1 to 3: The city of Smallville consists of five subdivisions, Mayor Takeda wants to build telephone lines to ensure that all subdivisions can communicate with each other. The distances between the subdivisions are given in the figure below: Assume that no telephone line can be built between subdivisions 1 and 4. 5 5 5 3 7 3 3 5 5 1 4 1) What is the minimum length of cable required? a. 12 units b. 14 units c. 15 units d. 16 units 2) Which arcs should be connected to obtain the least cable wires needed? a. (1, 3), (3, 5), (3, 4), (3, 2) b. (1, 3), (3, 5), (5, 4), (4,2) c. (1, 5), (5, 3), (3, 4), (3, 2) d. (1, 2), (2, 4), (4, 3), (3, 5) 3) What would be the total length if the following arcs are connected: (1, 3), (3, 4), (4, 5), (3, 2) a. 18 units b. 17 units c. 15 units d. 16 units

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 13E: Generalize the results found in Exercise 11 and 12 by answering each of the following questions....
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OPERATIONS RESEARCH/ADNVANCED MATH (UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS. NO LONG EXPLANATION NEEDED. CHOOSE THE CORRECT ANSWER.)

For numbers 1 to 3: The city of Smallville consists of five subdivisions, Mayor
Takeda wants to build telephone lines to ensure that all subdivisions can
communicate with each other. The distances between the subdivisions are given
in the figure below: Assume that no telephone line can be built between
subdivisions 1 and 4.
5
5
3
5
7
3
5
2
1
1) What is the minimum length of cable required?
a. 12 units b. 14 units c. 15 units d. 16 units
2) Which arcs should be connected to obtain the least cable wires
needed?
a. (1, 3), (3, 5), (3, 4), (3, 2)
b. (1, 3), (3, 5), (5, 4), (4, 2)
4
(1, 3), (3, 4), (4, 5), (3, 2)
c. (1, 5), (5, 3), (3, 4), (3, 2)
d. (1, 2), (2, 4), (4, 3), (3, 5)
3) What would be the total length if the following arcs are connected:
a. 18 units b. 17 units c. 15 units d. 16 units
Transcribed Image Text:For numbers 1 to 3: The city of Smallville consists of five subdivisions, Mayor Takeda wants to build telephone lines to ensure that all subdivisions can communicate with each other. The distances between the subdivisions are given in the figure below: Assume that no telephone line can be built between subdivisions 1 and 4. 5 5 3 5 7 3 5 2 1 1) What is the minimum length of cable required? a. 12 units b. 14 units c. 15 units d. 16 units 2) Which arcs should be connected to obtain the least cable wires needed? a. (1, 3), (3, 5), (3, 4), (3, 2) b. (1, 3), (3, 5), (5, 4), (4, 2) 4 (1, 3), (3, 4), (4, 5), (3, 2) c. (1, 5), (5, 3), (3, 4), (3, 2) d. (1, 2), (2, 4), (4, 3), (3, 5) 3) What would be the total length if the following arcs are connected: a. 18 units b. 17 units c. 15 units d. 16 units
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