(A) Not only the wonders of oil as might be expected, but also free-market capitalism (B)/ And made at the behest of the American Petroleum Institute, (C)/ Produced at the height of the Cold War, (D)/ lands in the United States and soon discovers the many and myriad delights of petroleum (E)/ This great little promotional film from John Sutherland Studios champions

On carefully reading the fragments, we see that the topic of the sentence is a video produced in the cold war era. Fragment C introduces the subject. Hence, it should be the opening part. Fragment B should follow C as it adds an extra detail to the previously mentioned statement. Sentences E and A form a pair - ‘champions not only...’. Thus, CBEA forms a coherent sentence. Fragment D which talks about the delights of petroleum is out of context.