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Ford Motor Co. Chairman Alex Trotman accepted a board request to stay on until 2000 in a move aimed at allowing enough time for his ambitious cost-cutting initiatives to take hold. . . . The state of Ohio rejected the proposed $299.5-million acquisition of most of Blue Cross & Blue Shield of Ohio by a for-profit hospital chain, Columbia/HCA Healthcare Corp. . . . Delta Air Lines’ $100-million advertising account has landed at Saatchi & Saatchi Advertising Worldwide. . . . Burger King Corp. named Dennis Malamatinas, president of parent Grand Metropolitan, its chief executive. . . . Nomura Securities Co. President Hideo Sakamaki resigned, saying he was unaware of the improper funneling of trading profits.