solve plzz

6. (25) Assume that the IRS has hired an economist to determine the appropriate way to tax US citizens. Assume that the amount of income tax paid by an individual is a function of income, 1", and is equal to T. The IRS is considering two potential tax functions. They are T = 031' (1) and T = Y ~ 0.6Y 0'9 (2) (a) Compute the formulas for dT/dY for each tax function, (1) and (2). (b) Make up a name for dT/dY. (c) Fill in the following tables: where you can assume that Y and T are measured annually, and in thousands of dollars. You can round your answers to 2 decimal places, since we are dealing in (thousands of) dollars here. (d) Interpret your answer to (iii). (e) Given this information, which tax function would you choose if you were the economist? Explain why