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# Paper test 42- table question

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Senior Manager
Joined: 25 Nov 2006
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Schools: St Gallen, Cambridge, HEC Montreal
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Paper test 42- table question [#permalink]  18 Jan 2009, 05:59

The table above shows the cost, in dollars, of traveling to and from cities A, B, C, D, E and F. A sales representative wants to leave from A, travel to C, E and F, and return to A. If the first city that the sales representative travels to must be E, what is the minimum possible cost for the entire trip?

A- 13
B- 14
C- 16
D- 18
E- 20
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Senior Manager
Joined: 25 Nov 2006
Posts: 337
Schools: St Gallen, Cambridge, HEC Montreal
Followers: 3

Kudos [?]: 38 [0], given: 0

Re: Paper test 42- table question [#permalink]  18 Jan 2009, 06:07
I know a way to solve this, but it's not very effective:

Total cost of the trip:A-E-B-C-D-F-A
Total cost of the trip:A-E-B-D-C-F-A
Total cost of the trip:A-E-B-D-F-C-A
Total cost of the trip:A-E-B-C-D-F-A
...
and so on until you get all the possibilities.

There must be a better solution that than. Does anyone know?
SVP
Joined: 29 Aug 2007
Posts: 2493
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Kudos [?]: 579 [0], given: 19

Re: Paper test 42- table question [#permalink]  18 Jan 2009, 08:11
lumone wrote:
I know a way to solve this, but it's not very effective:

Total cost of the trip:A-E-B-C-D-F-A
Total cost of the trip:A-E-B-D-C-F-A
Total cost of the trip:A-E-B-D-F-C-A
Total cost of the trip:A-E-B-C-D-F-A
...
and so on until you get all the possibilities.

There must be a better solution that than. Does anyone know?

Do only for the cities (from A to E to either C or F to A) that the sales person goes. There are only two possibilities:

1: Total cost of the trip: A-E-C-F-A = 7+2+4+3 = 16
2: Total cost of the trip: A-E-F-C-A = 7+6+4+3 = 20

select the lower.

Editied for typo: C-F = 4 not 6.
_________________
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Re: Paper test 42- table question [#permalink]  18 Jan 2009, 11:57

A->E = 7
E->C = 2
C->F = 4
F->A = 3

Total is 16
Senior Manager
Joined: 25 Nov 2006
Posts: 337
Schools: St Gallen, Cambridge, HEC Montreal
Followers: 3

Kudos [?]: 38 [0], given: 0

Re: Paper test 42- table question [#permalink]  18 Jan 2009, 13:09
16 is the OA

Re: Paper test 42- table question   [#permalink] 18 Jan 2009, 13:09
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