Option 1, Blue Origin, is incorrect as it is an aerospace manufacturer founded by Jeff Bezos, and it has not designed or manufactured the Falcon 9 rocket.

Option 2, Boeing, is a renowned aerospace company that among many aircraft, designed the CST-100 Starliner, but did not design or manufacture the Falcon 9.

Option 3, Lockheed Martin, another well-known aerospace company, is popular for its Orion spacecraft and various military jets, but it is not responsible for the Falcon 9.

The correct answer is Option 4, SpaceX. This company, founded by Elon Musk, designed and manufactures the Falcon 9. Falcon 9 is a two-stage rocket designed and manufactured for the reliable and safe transport of satellites and the Dragon spacecraft into orbit, making this company the right answer to this question.