Rita owns a sole proprietorship in which she works as a management consultant. She maintains an office in her home $(500$ square feet$)$ where she meets with clients, prepares bills, and performs other work$-$related tasks. Her business expenses, other than home office expenses, total $$5,700.$ The following home$-$related expenses have been allocated to her home office under the actual expense method for calculating home office expenses.

Real property taxes $ $1,650$

Interest on home mortgage $5,175$

Operating expenses of home $825$

Depreciation $1,630$

Also, assume that, not counting the sole proprietorship, Rita's AGI is $$61,000.$ Rita itemizes deductions, and her itemized deduction for non$-$home business taxes is less than $$10,000$ by more than the real property taxes allocated to business use of the home.

Assume Rita's consulting business generated $$15,250$ in gross income.

Note: Leave no answer blank. Enter zero if applicable.

a$.$ What is Rita's home office deduction for the current year?

b$.$ What would Rita's home office deduction be if her business generated $$10,250$ of gross income instead of $$15,250?($Answer for both the actual expense method and the simplified method.$)$

c$.$ Given the original facts, what is Rita's AGI for the year?

d$.$ Given the original facts, what types and amounts of expenses will she carry over to next year?