i uploaded the question , this is the whole question , I need answer for part f thanks

'33 33% E} 09.63 a +2. 12:33 PM Sun Apr 3 0) are redistributed to low-productivity individuals as sub- sidies (1'1 0,ni6[0,l], iE{l,h} (a) (10 points) Derive the FOCs (Kuhn-Tucker) taking into account the borrowing constraint (a 2 O) and constraints on the labor supply (n' g 1, i E {1, h}). Page 2 For the questions below, consider the following utility functions: u(c) 2 Inc, v(n) 2 En, B > O. (b) (10 points) Solve for the optimal decision rules for assets as well as state-contingent consumption and labor supply. At what levels of 8 does the borrowing constraint bind? (c) (5 points) Plot the decision rules as a function of 8, making sure to take into account the constraints on assets and time. A (d) (5 points) Explain how individuals self-insure in the economy without taxes and transfers (1" = 1'1 = 0). 2 / (e) (10 points) Discuss effects of the public system ot taxes and transfers (1'1 0) 3 on individual assets, consumption, labor supply decisions as well as their variation across -h ~h v states: %, 2,. You can rst take prices as given; then discuss the equilibrium effect on prices and their effect on allocations. (f) (10 points) Can the policy provide full insurance against the secondperiod productivity Q risk? If yes, how and what allocations it would imply? If no, why not? Provide intuitive and analytical 31' b