The Franklin-A becomes available to players when they reach LVL35. The Shipyard has a steep Uncommon Crystal requirement, as well as the Scrapyard, so save up and be ready for that.
Once the Franklin-A is built, the daily goal becomes much easier to complete as destroying 9 swarm hostiles will clear 125 points. This can be done in 1 trip when using a good crew like PMT (Pike, Moreau, T'Laan). The first few times may hurt till enough materials collected to upgrade all of the components, but once done, a player should be able to take out ~12 LVL37 swarms with a LVL5 Franklin-A using PMT and all components upgraded and available swarm research completed.