Booster Production

First of all you need to understand that there are 4 different types of boosters, these are:

Standard
Improved
Strong
Synth

Standard Boosters

Are illegal to bring into high sec empire

Typically have a 20% boost/Penalty/chance of side effects happening

Requires Biology L1 and Science L1

Improved Boosters

Are illegal to bring into high sec empire

Typically have a 25% boost/Penalty, with a 30% chance of side effects happening

Requires Biology L2 and Science L1

Strong Boosters

Are illegal to bring into high sec empire

Typically have a 30% boost/Penalty, with a 40% chance of side effects happening

Requires Biology L3 and Science L1

Synth Boosters

Are NOT illegal and can be used in empire

Give small boosts unlike the Standard, Improved or Strong boosters.

Requires Biology L1 and Science L1

Where to find the items you will need?

Standard, Improved, Strong reaction BPCs, Drug Manufacturing skill, Gas Cloud Harvesters and Gas Cloud Harvesting Skill - drop in special Archaeology/Salvage Exploration sites.

Synth Booster BPCs and booster BLUEPRINTS (not reactions) are bought for LPs (Loyalty Points) from Pirate Agents.

So where to go for all this stuff? Well all I could find from CCP Greyscale is a superb graphic highlighting the areas to find this lot.

Click to enlarge

Link to original dev blog