Skyrim Alchemy Profitability Calculator
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The effect Fortify Barter (56) can be achieved in a potion if you mix these ingredients:

Butterfly WingShow a combination
Dragons TongueShow a combination
Hagraven ClawShow a combination
Tundra CottonShow a combination

Here is a list of possible combinations of ingredients:

Tundra Cotton
Hagraven Claw		=>Resist Magic
Fortify Barter		=>117
  + Briar Heart+ Fortify Magicka, Fortify Block+ 275 = 392
  + Slaughterfish Scales+ Fortify Block+ 195 = 312
  + Pearl+ Fortify Block+ 195 = 312
  + Honeycomb+ Fortify Block+ 195 = 312
  + Bleeding Crown+ Fortify Block+ 195 = 312
  + Wheat+ Lingering Damage Magicka+ 85 = 202
  + Torchbug Thorax+ Lingering Damage Magicka+ 85 = 202
  + Swamp Fungal Pod+ Lingering Damage Magicka+ 85 = 202
  + Purple Mountain Flower+ Lingering Damage Magicka+ 85 = 202
  + Void Salts+ Fortify Magicka+ 80 = 197
  + Red Mountain Flower+ Fortify Magicka+ 80 = 197
  + Jazbay Grapes+ Fortify Magicka+ 80 = 197
  + Histcarp+ Fortify Magicka+ 80 = 197
  + Ectoplasm+ Fortify Magicka+ 80 = 197
  + Spriggan Sap+ Fortify Enchanting+ 17 = 134
  + Snowberries+ Fortify Enchanting+ 17 = 134
  + Blue Butterfly Wing+ Fortify Enchanting+ 17 = 134
 
Tundra Cotton
Dragons Tongue		=>Fortify Barter=>56
  + Briar Heart+ Fortify Magicka, Fortify Block+ 275 = 331
  + Bleeding Crown+ Resist Magic, Fortify Block+ 256 = 312
  + Fly Amanita+ Resist Fire, Fortify Two-handed+ 230 = 286
  + Slaughterfish Scales+ Fortify Block+ 195 = 251
  + Pearl+ Fortify Block+ 195 = 251
  + Honeycomb+ Fortify Block+ 195 = 251
  + Void Salts+ Resist Magic, Fortify Magicka+ 141 = 197
  + Troll Fat+ Fortify Two-handed+ 134 = 190
  + Taproot+ Fortify Illusion+ 107 = 163
  + Scaly Pholiota+ Fortify Illusion+ 107 = 163
  + Mora Tapinella+ Fortify Illusion+ 107 = 163
  + Dwarven Oil+ Fortify Illusion+ 107 = 163
  + Snowberries+ Resist Fire+ 96 = 152
  + Mudcrab Chitin+ Resist Fire+ 96 = 152
  + Fire Salts+ Resist Fire+ 96 = 152
  + Elves Ear+ Resist Fire+ 96 = 152
  + Bone Meal+ Resist Fire+ 96 = 152
  + Red Mountain Flower+ Fortify Magicka+ 80 = 136
  + Jazbay Grapes+ Fortify Magicka+ 80 = 136
  + Histcarp+ Fortify Magicka+ 80 = 136
  + Ectoplasm+ Fortify Magicka+ 80 = 136
  + Wisp Wrappings+ Resist Magic+ 61 = 117
  + Nirnroot+ Resist Magic+ 61 = 117
  + Lavender+ Resist Magic+ 61 = 117
  + Hagraven Claw+ Resist Magic+ 61 = 117
  + Crimson Nirnroot+ Resist Magic+ 61 = 117
  + Chickens Egg+ Resist Magic+ 61 = 117
 
Tundra Cotton
Butterfly Wing		=>Fortify Barter=>56
  + Briar Heart+ Fortify Magicka, Fortify Block+ 275 = 331
  + Bleeding Crown+ Resist Magic, Fortify Block+ 256 = 312
  + Slaughterfish Scales+ Fortify Block+ 195 = 251
  + Pearl+ Fortify Block+ 195 = 251
  + Honeycomb+ Fortify Block+ 195 = 251
  + Void Salts+ Resist Magic, Fortify Magicka+ 141 = 197
  + Eye of Sabre Cat+ Restore Health, Damage Magicka+ 84 = 140
  + Daedra Heart+ Restore Health, Damage Magicka+ 84 = 140
  + Red Mountain Flower+ Fortify Magicka+ 80 = 136
  + Jazbay Grapes+ Fortify Magicka+ 80 = 136
  + Histcarp+ Fortify Magicka+ 80 = 136
  + Ectoplasm+ Fortify Magicka+ 80 = 136
  + Chickens Egg+ Resist Magic, Lingering Damage Stamina+ 76 = 132
  + Wisp Wrappings+ Resist Magic+ 61 = 117
  + Nirnroot+ Resist Magic+ 61 = 117
  + Lavender+ Resist Magic+ 61 = 117
  + Hagraven Claw+ Resist Magic+ 61 = 117
  + Crimson Nirnroot+ Resist Magic+ 61 = 117
  + Nordic Barnacle+ Damage Magicka+ 59 = 115
  + Namiras Rot+ Damage Magicka+ 59 = 115
  + Luna Moth Wing+ Damage Magicka+ 59 = 115
  + Jarrin Root+ Damage Magicka+ 59 = 115
  + Human Heart+ Damage Magicka+ 59 = 115
  + Hanging Moss+ Damage Magicka+ 59 = 115
  + Hagraven Feathers+ Damage Magicka+ 59 = 115
  + Glow Dust+ Damage Magicka+ 59 = 115
  + Chaurus Eggs+ Damage Magicka+ 59 = 115
  + Wheat+ Restore Health+ 25 = 81
  + Swamp Fungal Pod+ Restore Health+ 25 = 81
  + Rock Warbler Egg+ Restore Health+ 25 = 81
  + Imp Stool+ Restore Health+ 25 = 81
  + Charred Skeever Hide+ Restore Health+ 25 = 81
  + Blue Mountain Flower+ Restore Health+ 25 = 81
  + Blue Dartwing+ Restore Health+ 25 = 81
  + Blisterwort+ Restore Health+ 25 = 81
  + Small Antlers+ Lingering Damage Stamina+ 15 = 71
  + Nightshade+ Lingering Damage Stamina+ 15 = 71
 
Hagraven Claw
Dragons Tongue		=>Fortify Barter=>56
  + Fly Amanita+ Resist Fire, Fortify Two-handed+ 230 = 286
  + Troll Fat+ Fortify Two-handed+ 134 = 190
  + Snowberries+ Fortify Enchanting, Resist Fire+ 113 = 169
  + Taproot+ Fortify Illusion+ 107 = 163
  + Scaly Pholiota+ Fortify Illusion+ 107 = 163
  + Mora Tapinella+ Fortify Illusion+ 107 = 163
  + Dwarven Oil+ Fortify Illusion+ 107 = 163
  + Mudcrab Chitin+ Resist Fire+ 96 = 152
  + Fire Salts+ Resist Fire+ 96 = 152
  + Elves Ear+ Resist Fire+ 96 = 152
  + Bone Meal+ Resist Fire+ 96 = 152
  + Wheat+ Lingering Damage Magicka+ 85 = 141
  + Torchbug Thorax+ Lingering Damage Magicka+ 85 = 141
  + Swamp Fungal Pod+ Lingering Damage Magicka+ 85 = 141
  + Purple Mountain Flower+ Lingering Damage Magicka+ 85 = 141
  + Wisp Wrappings+ Resist Magic+ 61 = 117
  + Void Salts+ Resist Magic+ 61 = 117
  + Tundra Cotton+ Resist Magic+ 61 = 117
  + Nirnroot+ Resist Magic+ 61 = 117
  + Lavender+ Resist Magic+ 61 = 117
  + Crimson Nirnroot+ Resist Magic+ 61 = 117
  + Chickens Egg+ Resist Magic+ 61 = 117
  + Bleeding Crown+ Resist Magic+ 61 = 117
  + Spriggan Sap+ Fortify Enchanting+ 17 = 73
  + Blue Butterfly Wing+ Fortify Enchanting+ 17 = 73
 
Hagraven Claw
Butterfly Wing		=>Fortify Barter=>56
  + Wheat+ Lingering Damage Magicka, Restore Health+ 110 = 166
  + Swamp Fungal Pod+ Lingering Damage Magicka, Restore Health+ 110 = 166
  + Torchbug Thorax+ Lingering Damage Magicka+ 85 = 141
  + Purple Mountain Flower+ Lingering Damage Magicka+ 85 = 141
  + Eye of Sabre Cat+ Restore Health, Damage Magicka+ 84 = 140
  + Daedra Heart+ Restore Health, Damage Magicka+ 84 = 140
  + Chickens Egg+ Resist Magic, Lingering Damage Stamina+ 76 = 132
  + Wisp Wrappings+ Resist Magic+ 61 = 117
  + Void Salts+ Resist Magic+ 61 = 117
  + Tundra Cotton+ Resist Magic+ 61 = 117
  + Nirnroot+ Resist Magic+ 61 = 117
  + Lavender+ Resist Magic+ 61 = 117
  + Crimson Nirnroot+ Resist Magic+ 61 = 117
  + Bleeding Crown+ Resist Magic+ 61 = 117
  + Nordic Barnacle+ Damage Magicka+ 59 = 115
  + Namiras Rot+ Damage Magicka+ 59 = 115
  + Luna Moth Wing+ Damage Magicka+ 59 = 115
  + Jarrin Root+ Damage Magicka+ 59 = 115
  + Human Heart+ Damage Magicka+ 59 = 115
  + Hanging Moss+ Damage Magicka+ 59 = 115
  + Hagraven Feathers+ Damage Magicka+ 59 = 115
  + Glow Dust+ Damage Magicka+ 59 = 115
  + Chaurus Eggs+ Damage Magicka+ 59 = 115
  + Rock Warbler Egg+ Restore Health+ 25 = 81
  + Imp Stool+ Restore Health+ 25 = 81
  + Charred Skeever Hide+ Restore Health+ 25 = 81
  + Blue Mountain Flower+ Restore Health+ 25 = 81
  + Blue Dartwing+ Restore Health+ 25 = 81
  + Blisterwort+ Restore Health+ 25 = 81
  + Spriggan Sap+ Fortify Enchanting+ 17 = 73
  + Snowberries+ Fortify Enchanting+ 17 = 73
  + Blue Butterfly Wing+ Fortify Enchanting+ 17 = 73
  + Small Antlers+ Lingering Damage Stamina+ 15 = 71
  + Nightshade+ Lingering Damage Stamina+ 15 = 71