Step 1: Analyzing the options.
The sentence needs to be arranged to logically describe how ecology and resource management science are influenced by historical and philosophical concepts.
- (B) starts with "of the industrial age, had more to say," which makes sense as the historical context.
- (A) follows as it explains "and mechanistic worldview, shaped by the utilitarian premise."
- (D) logically follows, indicating how "that developed under the conventional" reflects the historical development.
- (C) is the closing phrase that talks about the "human mission to extract rather than to conserve."
Step 2: Conclusion.
The correct order is: "The point is that both ecology and resource management science of the industrial age, had more to say, and mechanistic worldview, shaped by the utilitarian premise, that developed under the conventional, about the human mission to extract rather than to conserve."
Thus, the correct answer is 1. (B), (A), (D), (C).
Final Answer:
\[
\boxed{\text{The correct answer is 1. (B), (A), (D), (C).}}
\]