The question
OptimalCardSetup's free tier caps you at 2 cards. How much does that limit actually cost, in real dollars, for a real spending profile? Instead of guessing, we ran the same live CP-SAT solver that powers the site against four representative household spending profiles, once at a 2-card limit and once at a 5-card limit, and measured the difference.
Method
All four runs used the production solver at optimalcardsetup.com on July 4, 2026, against the catalog verified as of June 12, 2026 (AS_OF date — see our full card list for the 52-card catalog). We used cash mode throughout, which values every card's rewards at a flat 1 cent per point/mile — no aspirational transfer-partner valuations that could inflate the numbers. Each profile was solved twice: once capped at 2 cards (the free-tier limit) and once at 5 cards (below the 10-card premium ceiling, but enough to show the shape of the gap). All dollar figures below are the solver's actual net annual value output — annual rewards earned minus annual fees paid — not estimates.
The four profiles
1. The Everyday Household — $400 dining, $600 in-store groceries, $200 gas, $60 streaming, $150 utilities, $100 internet/phone, $300 other, no rent on the card.
- 2-card optimal: Robinhood Gold Card + PayPal Debit Card → $926.80/year net
- 5-card setup: $1,106.80/year net
- Gap: $180.00/year (19.4% more)
2. The Frequent Traveler — $300 dining, $300 in-store groceries, $400 direct flights, $300 direct hotels, $200 portal hotels, $100 gas, $50 streaming, $250 other.
- 2-card optimal: Capital One Venture X + Chase Freedom Flex → $1,105.20/year net
- 5-card setup: $1,404.00/year net
- Gap: $298.80/year (27.0% more) — the largest gap of the four, since travel rewards concentrate hard in cards this profile can't include at only 2 slots
3. The Renter — $1,800 rent, $250 dining, $400 in-store groceries, $120 gas, $60 streaming, $300 other (rent-eligible cards enabled).
- 2-card optimal: Robinhood Gold Card + PayPal Debit Card → $734.80/year net
- 5-card setup: $892.00/year net
- Gap: $157.20/year (21.4% more)
- Notably, the solver didn't route rent to a Bilt card at either card count for this profile — at this rent-to-other-spend ratio, flat cash-back on everyday categories still out-earned Bilt's rent-tier mechanic plus its $95 fee. Renters with more non-rent spend on the card relative to rent will see a different result — see our Bilt Obsidian vs Amex Gold comparison for how that tier math works.
4. The Minimalist — $150 dining, $250 in-store groceries, $80 gas, $200 other. A lighter spender, testing whether the 2-card ceiling still bites at lower spend.
- 2-card optimal: Robinhood Gold Card + PayPal Debit Card → $554.80/year net
- 5-card setup: $682.00/year net
- Gap: $127.20/year (22.9% more)
The average
Across all four profiles, the average gap between the 2-card free tier and a 5-card setup is $190.80/year, or about 22.7% more net rewards. The gap didn't shrink for the lighter spender — it held at roughly the same *percentage*, meaning this isn't just a high-spender phenomenon.
Why the gap exists
With only 2 cards, the solver has to pick generalist cards that cover the most categories reasonably well — in three of our four profiles, that meant a flat-rate cash-back combination (Robinhood Gold Card at 3% and PayPal Debit Card's selectable 5% category) rather than specialist cards that dominate any single category. Add a 3rd, 4th, and 5th card and the solver can assign each category to whichever card earns the most for it specifically — category-bonus cards for dining and groceries, a travel card for flights and hotels, and so on — without giving up coverage anywhere.
Caveats
- These are four synthetic profiles, not a random sample of real users — treat the $190.80 average as illustrative of the mechanism, not a population statistic.
- We used cash mode specifically to keep the comparison conservative. Travel mode, which values transferable points above 1 cent each for people who actually redeem for premium travel, would widen every one of these gaps further.
- The 5-card comparison point is below the premium tier's actual 10-card ceiling — a complex spending profile that benefits from more than 5 specialized cards would show an even larger real-world gap than what's reported here.
Try it with your own numbers
The four profiles above are stand-ins — your actual spending mix will produce a different gap, or none at all, depending on how concentrated your spending already is. Run the optimizer with your real numbers, once at 2 cards and once with more, to see your own number.
*Data verified as of June 12, 2026. Solver run against the live production API on July 4, 2026.*