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The Inventory upgrade increases your inventory.

Tier EST. mined blocks
1 (28) 1
2 (38) 20-30
3 (52) 50-80. 
4 (78) 140-210 (I have no idea what that actually is)
5 (104) 240-340
6 (152) 500-780
7 (351) 800-1,300 (Again, same case as tier 4/78.)
8 (492) 1,070-1,600 
9 (732) 1,600 to 6,000
10 (1094) 6,000 to 12,000 (With insta) 12,000 to 15,600 (without)
11 (1636) 11,000 to 16,000 (with insta) 20,000 to 50,000 (without insta)
12 (3702) 16,000 to 25,000 (with insta) 40,000 to 80,000 (without)
13 (7003) 25,000 to 38,000 (with insta) 80,000 to 160,000 (without)
14 (sandbox) 0 to 1,000,000 (it doesn't matter with insta because it's a gamepass and it costs 2500 robux. And, it's very variable because someone could either buy it at 0 or 1,000,000 couldn't they)