He sat on the Board of Directors of Unocal Corporation of California, and was the company's Vice President of International Development.
During his time with the Unocal Corporation, Brandon worked as the company's general manager in Cuba and Guatemala.
That year he participated in Union's entry into the Indonesian oil market, writing a "contract of work" arrangement, which was a first for Indonesia.
In a speech on Indonesian Independence Day in August, 1961, then President Sukarno talked at some length about "production sharing", which included some of Brandon's suggestions.
In 1969 he became Vice President, and a member of the Board of Directors of Union Oil Company of Dahomey, West Africa.