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\fConsidera two-period model of a small open economy with a single good each period. Let preferences of the representative household be described by the utility function MCI} + .I'nfCE where C1 and C2 denote consumption in periods 1 and 2, respectively, and to denotes the natural logarithm. In period 1, the household receives an endowment of {311 = 5. In period 2, the household receives profits, denoted by ?2, from the firms it owns. Households and firms have access to financial markets where they can borrow or lend at the interest rate r]. {r1 is the interest rate on assets held between periods 1 and 2.]. Representative firm borrows D1f in period 1 to make investmerrt II that enable the rm to produce goods in period 2. The production technology in period 2 is given by (312 = ?{|1]I, where (12 and Il denote, respectively, output in period 2 and investmerrt in period 1. Assume that there exists free international capital mobility and that the world interest rate, r", is ltl per period {i.e., r" = (11}. Finally, assume that the economy's initial net foreign asset position is zero {31* = U]. c] Find the country's net foreign asset position at the end of period 1, the trade balance in periods 1 and 2, and the cunent accourrt in periods 1 and 2. d] Now consider an investmerrt surge. Specically, assume that as a result of a technological improvemerrt, the production technology becomes 02 = 2?[|1}. Find the profrt maximizing level of investmerrt made in period1 and the level of prot for period2. Find the equilibrium levels of saving, the trade balance, the currerrt accourrt, and the country's net foreign asset position in period 1. 1. Listed in the table are the activities and sequencing requirements necessary for the completion of a research project. ( 10 Marks) Activity Description Procedure Duration (week) A Literature search 6 B Formulation of hypothesis C Preliminary feasibility study B D Formal disposal C E Field analysis A. D Progress report D G Formal research A. D WANGVG- NNNW H Data collection E Data analysis G. H Conclusions I K Rough draft G L Final copy J. K M Preparation of oral presentation L Draw a network for this project. if. Find the EST, EFT, LST, LFT FII. Find the critical path and duration of the project