A sales manager must assign each of eight salespeople to one of eight different regions. He has asked the salespeople to rate their choice of regions in order, with 8 representing their most preferred choice and 1 representing their least preferred. The results are shown in the matrix below, with rows corresponding to salespeople and columns to regions. How should the sales manager assign the salespeople to maximize the total rating?

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regions 7 8 4 5 3621 6 8 7 5 4 2 3 1 5 4 8 7 6 312 6 4 8 5 7 2 1 3 salespeople 1 5 6 7 4 8 3 2 4 3 2 1 7865 2 3 4 1 6578 1 5 3 4 2867