1. The government of Antigua wishes to introduce income tax to increase government revenue. In so doing, a consultant was hired to make recommendations on the best way forward. The consultant proposed that the government shouldnt tax any employee earning below XCD25,000.00 annually or the employee first XCD25,000.00 annually. Thereafter, any employee earning between XCD25,000.00 and XCD40,000.00 annually should pay 5.5% income tax and then any employee earning above XCD40,000.00 should pay 10.5% income tax.

For the above information

1. Derive a mathematical function to represent the consultants position clearly identifying all variables and intervals.
2. From part a) above, state the name of ALL the mathematical functions derived.

3. If Jane (someone working in Antigua) pays XCD750.00 in income tax, calculate Janes annual income.