Tyr discussed what his proposal was, and Calvin was impressed that he had such demands in the first place.
This included food, a condition that Calvin accepted because he didn't know how far they sailed from but dying of starvation was a bad idea; Tyr took a risk because Calvin could easily capitalize on this information.
Then again, this was within his calculations, but he knew that hunger would not stop the Viking from killing his men, he was going to lose men regardless.
This was a peaceful way of resolving it and Tyr returned to the boat but without Alf, Alf was calm after seeing Tyr because the son of Ragnar had guaranteed that his people would not be harmed.
Tyr returned empty-handed because the food was not enough for them.