Wesley and Jack are considering selling hot dogs at the university football game, but both are undecided. If either of them sell hot dogs alone, he can expect to sell $100$ hot dogs for a net profit of $$150.$ If both of them sell hot dogs together, they can sell $300$ hot dogs at a net profit of $$250$ for each of them. If both of them decide to stay home that day, neither of them will make any money at all. What is the dominant strategy here?

Both Wesley and Jack will stay home.

Wesley will stay home, and Jack will sell hot dogs.

Testey will sell hot dogs, and Jack will stay home.

Both Westeyand Weckill sell hot dogs.