A bank has its head office in the financial district in the middle of a city. It has six branches, three in the north of the city and three in the south all 5 km from the centre and spaced 3 km apart. The bank wishes to link all its branches via private leased lines but must decide between providing an individual line to each branch of via a number of inter-branch links and a smaller number of multiplexed lines to the centre. If a modem costs £100, a multiplexer/demultiplexer costs £200 and leased lines cost £100 per km per year to rent, suggest a design that will yield the most cost effective solution if the installation is to remain in operation for four years.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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A bank has its head office in the financial district in the middle of
a city. It has six branches, three in the north of the city and three
in the south all 5 km from the centre and spaced 3 km apart. The bank
wishes to link all its branches via private leased lines but must
decide between providing an individual line to each branch of via a
number of inter-branch links and a smaller number of multiplexed lines
to the centre. If a modem costs £100, a multiplexer/demultiplexer
costs £200 and leased lines cost £100 per km per year to rent, suggest
a design that will yield the most cost effective solution if the
installation is to remain in operation for four years.
Transcribed Image Text:A bank has its head office in the financial district in the middle of a city. It has six branches, three in the north of the city and three in the south all 5 km from the centre and spaced 3 km apart. The bank wishes to link all its branches via private leased lines but must decide between providing an individual line to each branch of via a number of inter-branch links and a smaller number of multiplexed lines to the centre. If a modem costs £100, a multiplexer/demultiplexer costs £200 and leased lines cost £100 per km per year to rent, suggest a design that will yield the most cost effective solution if the installation is to remain in operation for four years.
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