Could you please help with this:

2. Bequest Taxation: 40 points Consider a two period model: t = 0, 1. The parent lives in t = 0 and has endowment W > 0 and needs to decide how much to bequeath the kid. Denote bequest as b 2 0. The kid lives in period t = 1. There are no labor decisions taken in any period. The parent loves the kid and puts an altruistic weight of y on the kid. The parent has utility In (co ) + yin (CK ). where 6 = 1 is the discount factor both the parent and the kid use. Suppose the interest rate is r = 0. President Selina Meyer is deciding whether to tax bequest with a bequest tax of T. Let 0 E [0, 1] denote weight Selina puts on the parent and 1 - 0 the kid, i.e., Selina's objective is to maximize e In (co ) + yin (ck) + (1 -0) In (ck). a. Setup the parent's optimization problem. (4 points) b. Solve for the equilibrium bequest as a function of the bequest tax. (8 points)