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In a political campaign, one of the candidates has enough funds to purchase TV time for a total of five prime-time TV commercials on stations located in four different areas. A report of the estimated number of additional voters (in thousands) for that candidate per area/number of commercials indicated: for 1 commercial; 4 additional in area 1, 6 in area 2, 5 in area 3, and 3 in area 4; for 2 commercials, 7 additional in area 1, 8 in area 2, 9 in area 3, and 7 in area 4; for 3 commercials, 9 additional in area 1, 10 in area 2, 11 in area 3, and 12 in area 4; for 4 commercials, 12 additional in area 1, 11 in area 2, 10 in area 3, and 14 in area 4; and for 5 commercials, 15 additional in area 1, 12 in area 2, 9 in area 3, and 16 in area 4. The order in which TV commercials are assigned to areas should be considered. How should the candidate purchase the five commercials to maximize the estimated number of additional voters?

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