a) Suppose y, a Acf', where A is a constant. Use this to write 3?, in terms of 2:] where in general it \"E; r x where .1? denotes the steady-state value of x,. [25] b) Suppose a n'n's profit at is a function of the quantity of goods q it produces and the exogenous tax rate r: z =Riql-Ciqi-tq. where mg) and C(9) are functions of 9. Use the Envelope Theorem to find 5%, where V is the value function. [25] c) Suppose a consumer maximizes U(c,l)-alogc+(la}log(ll) ; 0c ac] subject to the budget constraint c S w! + In and the nonnegativity constraint 3 2 0. where man, and a are constants. Write down the first-order conditions for this problem. Will the budget constraint bind? Explain. [25] d) Suppose the price of a bond P Is a function of Its yield r : For) where P'(r)