kindly help me solve

1. Consider the utility function below where an individual gets utility her market income (x), plus a public transfer which is equal to the tax rate (y) times the average income x, minus a tax which is equal to the tax rate (y) times her income (x) and finally minus the intrinsic burden of the tax/transfer system which is equal to the public transfer squared (y?). U = x+yx-yx- yz 1.1. (15 %) Which tax rate maximizes the individual's utility? (Hint: Use first-order-condition.). Show calculations. 1.2. (10 %) Imagine, a situation where the intrinsic burden of the tax/transfer system was (2y2) instead of (y?), which could be interpreted as a less efficient government, how would that affect the individual's tax rate preference? Show calculations. 1.3 (10 %) Based on the findings above, what are the effects of a less efficient government on individuals' preferred tax rate