A British company has won an important contract to supply components regularly t Poland. Four methods of transport are being considered: (i) air, (ii) sea, (iii) road and ferry and (iv) rail and ferry. The company's distribution manager has identified four relevant attributes for the decision: punctuality, safety of cargo, convenience and costs. She has also allocated weights of 30 to punctuality, 60 to safety of cargo and 10 to convenience. The manager then rated the performance of each form of transport on the different attributes. The values she assigned are shown below, together with the estimated annual cost of using each form of transport. Form of transport Air Sea Road and ferry Rail and ferry Punctuality 100 0 60 70 Benefit Safety 70 60 0 100 Convenience 60 80 100 0 Costs ($) 150 000 90 000 40 000 70 000

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Chapter1: Combinatorial Analysis
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Determine the form of transport which has the highest-valued overall benefits, assuming that mutual preference independence exists between the attributes

A British company has won an important contract to supply components regularly t
Poland. Four methods of transport are being considered: (i) air, (ii) sea, (iii) road and
ferry and (iv) rail and ferry. The company's distribution manager has identified four
relevant attributes for the decision: punctuality, safety of cargo, convenience and
costs. She has also allocated weights of 30 to punctuality, 60 to safety of cargo and 10
to convenience.
The manager then rated the performance of each form of transport on the different
attributes. The values she assigned are shown below, together with the estimated
annual cost of using each form of transport.
Form of
transport
Air
Sea
Road and
ferry
Rail and
ferry
Punctuality
100
0
60
70
Benefit
Safety
70
60
0
100
Convenience
60
80
100
0
Costs ($)
150 000
90 000
40 000
70 000
Transcribed Image Text:A British company has won an important contract to supply components regularly t Poland. Four methods of transport are being considered: (i) air, (ii) sea, (iii) road and ferry and (iv) rail and ferry. The company's distribution manager has identified four relevant attributes for the decision: punctuality, safety of cargo, convenience and costs. She has also allocated weights of 30 to punctuality, 60 to safety of cargo and 10 to convenience. The manager then rated the performance of each form of transport on the different attributes. The values she assigned are shown below, together with the estimated annual cost of using each form of transport. Form of transport Air Sea Road and ferry Rail and ferry Punctuality 100 0 60 70 Benefit Safety 70 60 0 100 Convenience 60 80 100 0 Costs ($) 150 000 90 000 40 000 70 000
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