Melissa $($single$,$ age $66)$ has a beach house which she rents out for $120$ days out of the year. She also stays in the house herself for $30$ days every year.$$ Melissa still works and earns $$50,000$ a year. She also made $$12,000$ from renting out the beach house this year. Expenses related to the beach house are as follows:

$$

Mortgage interest$$ $$9,000$

Property taxes$$ $$5,000$

Utilities$$ $$3,000$

Maintenance$$ $$2,500$

Insurance$$ $$1,000$

Depreciation $$ $$8,500$

$$

Given only the information in this problem, calculate $1.$ the amounts and types of deductions available to Melissa from the beach house and $2.$ Melissa$$s taxable income for $2024.$