During the year, Sophie $($a self$-$employed marketing consultant$)$ went from Omaha to Lima $($Peru$)$ on business. She spent four days on business, two days on travel, and one day on vacation. Disregarding the vacation costs, Sophie$$s expenses are:

Air fare $$4,000$

Lodging $800$

Meals $800$

Entertainment $400$

What are Sophie$$s deductible expenses? How would your answer change if Sophie$$s travel period had included only seven vacation days and four business days $($including traveling days$)?$