Taft rejected a $145-a-share takeover offer.

Cincinnati-based Taft Broadcasting Co. said its board of directors unanimously rejected the offer from an investor group led by its vice chairman, Dudley S. Taft, son of the company’s founder. The board concluded that the offer failed to recognize fully the future prospects of the company and directed management to explore alternatives including possible financial restructuring. The offer for Taft, a Cincinnati-based television station and cable system operator, was made last Friday.