branch offices to the computer at its main office using special phone lines with telecommunications devices. The phone line from a branch office need not be Page 416 connected directly to the main office. It can be connected indirectly by being connected to another branch office that is connected (directly or indirectly) to the main office. The only requirement is that every branch office be connected by some route to the main office. The charge for the special phone lines is $100 times the number of miles involved, where the distance (in miles) between every pair of offices is as follows: Distance between Pairs of Offices Main B.1 B.2 B.3 B.4 B.5 Main office - 190 70 115 270 160 Branch 1 190 100 110 215 50 Branch 2 70 100 140 120 220 Branch 3 115 110 140 175 80 Branch 4 270 215 120 175 310 Branch 5 160 50 220 80 310 Management wishes to determine which pairs of offices should be directly connected by special phone lines in order to connect every branch office (directly or indirectly) to the main office at a minimum total cost. (a) Describe how this problem fits the network description of the minimum spanning tree problem. (b) Use the algorithm described in Sec. 10.4 to solve the problem.

branch offices to the computer at its main office using special phone lines with telecommunications devices. The phone line from a branch office need not be Page 416 connected directly to the main office. It can be connected indirectly by being connected to another branch office that is connected (directly or indirectly) to the main office. The only requirement is that every branch office be connected by some route to the main office. The charge for the special phone lines is $100 times the number of miles involved, where the distance (in miles) between every pair of offices is as follows: Distance between Pairs of Offices Main B.1 B.2 B.3 B.4 B.5 Main office - 190 70 115 270 160 Branch 1 190 100 110 215 50 Branch 2 70 100 140 120 220 Branch 3 115 110 140 175 80 Branch 4 270 215 120 175 310 Branch 5 160 50 220 80 310 Management wishes to determine which pairs of offices should be directly connected by special phone lines in order to connect every branch office (directly or indirectly) to the main office at a minimum total cost. (a) Describe how this problem fits the network description of the minimum spanning tree problem. (b) Use the algorithm described in Sec. 10.4 to solve the problem.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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