Supplies are gacha "events" where Captains can spend 
Crystals to obtain battlesuits, weapons, stigmata, and sometimes even outfits.
Ongoing Supplies
Note that these are supplies in Global servers, and will not be accurate if you are playing in a server that is not NA, EU.
Dorm Supply
Dorm Supply has no time limit and will be the first supply a player will unlock. Dorm supply costs x200 crystals for a single pull. It costs x2000 crystals for a x10 pull. Dorm supply also has a Dorm Supply Card, which can be used to pull once on the supply. Dorm Supply Battlesuits consist of all A-rank battlesuits (excluding newer battlesuits) and a majority of old S-rank battlesuits.
Starter Supply
Starter Supply is available for 90 days after the creation of an account. Starter Supply costs x280 crystals for a single pull. It costs x2800 crystals for a x10 pull. The starter supply offers a discount for the first x10 pull where the price goes from x2800 crystals to x2100 crystals. Starter's Supply Card can be used to pull once on the supply without taking crystals.
◆A Starter's Supply drop costs Starter's Supply Card x1 or x280 Crystals.
◆An A-rank or higher battlesuit is guaranteed for every 10 Starter Special Valkyrie Supply drops.
◆An S-rank battlesuit is guaranteed in 100 Starter Special Valkyrie Supply drops. You can view the drop count left to receive an S-rank battlesuit on the Supply screen.
◆The odds of a pulled S-rank battlesuit being [Palatinus Equinox] or [Herrscher of Human: Ego] are 50/50.
◆If this Supply offers a NEW S-rank battlesuit, 1 of the 3 S-rank battlesuits pulled is guaranteed to be NEW.
◆Starter's Supply and Expansion Supply count drops separately and do not affect one another.
Expansion Supply
Expansion Supply is available every 14 days. These offer limited S-rank battlesuits that aren't available on the Dorm Supply. It costs x280 crystals for a single pull and x2800 crystals for a x10 pull. Expansion Supply Card can be used to pull once on the supply without taking crystals.
More Information To Be Added Soon!