Teresa is self employed civil engineer who uses ger automobile for business. Teresa drove her automobile a total of $12,000$ miles during $2023,$ of whoch $9,600$ were business miles. The actual cost of gasoline $,$ oil $,$ depreciation $,$ repairs $,$ and insurance for the year was $$7,900.$ Teresa is eligible to use the actual or standard method $.$

a$)$ how much is Teresa's transportation deduction based on the standard milesge method? b$)$ how much is Teresa's transportation deduction based on the actual cost method?