Rules is rules...
A "non-exclusive" franchise player must be offered a one-year contract for an amount no less than the average of the top five cap hits at the player's position for the previous five years applied to the current salary cap, or 120 percent of the player's previous year's salary, whichever is greater. A non-exclusive franchise player may negotiate with other NFL teams, but if the player signs an offer sheet from another team, the original team has a right to match the terms of that offer, or if it does not match the offer and thus loses the player, is entitled to receive two first-round draft picks as compensation.
So if the cap is $200 million we only have to offer $27 million. If he finds a team willing to pay more, we can match or pass and take the two picks.