Consider a two-period, small, open economy. Households are endowed with 10 units of tradables in period 1 and 13 units in period 2 (Q₁ = 10 and Q₂ = 13). The country interest rate is 10 percent (* = 0. 1), and the nominal exchange rate is fixed at 1 (0-1=2=1). Suppose that the nominal wage is downwardly rigid (W₁= Wt 1, for t=1,2), and that Wo= 8. 25. Suppose the economy starts period 1 with no assets or debts carried over from the past (Bo=0). Suppose that the household's preferences are defined over consumption of tradable and nontradable goods in periods 1 and 2, and are described by the following utility function, In(CT) + In(CN) + In(CT) +ln(CN) where CT and C denote consumption of tradable and nontradable goods in period t = 1, 2. Let P₁ and på denote the relative prices of nontradables in terms of tradables in periods 1 and 2. Households supply inelastically h = 1 units of labor each period. Firms produce nontradable goods using labor as the sole input. The production technology is given by QtN=ht, where Qt and ht denote nontradable output and hours employed in period t = 1, 2. The parameter a is equal to 0.75. (a) Compute the equilibrium levels of consumption of tradables and the trade balance in periods 1 and 2. (b) Compute the equilibriumlevels of employment and nontradable output in periods 1 and 2. (c) Suppose now that the country interest rate increases to 32 percent. Calculate the equilibrium levels of consumption of tradables, the trade balance, consumption of nontradables, unemployment, the nominal and real wage, and the relative price of nontradables, in periods 1 and 2, and the nominal interest rate on domestic-currency bonds. Provide intuition for why unemployment nd wages behave differently in periods 1 and 2.