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QUESTION FOUR Part A If the investment flow is I(t) = 9000vt, calculate (i) the capital formation from the end of the first year to the end of the fourth year (2 marks) (ii) the number of years required before the capital stock exceeds GHe 100,000. (4 marks) Part B Find the derivatives of the following functions; (i) y = x + Vx+ vx (ii) y = x22x2 (8 marks) Part C (i) The number of units, N, produced each hour by a new employee after t hours on the job satisfies dN dt = 10e-0.1t Assuming that she is unable to produce any good at the beginning of her shift, calculate how many she can produce per hour after 8 hours. How many units per hour will she be able to produce in the long run? (6 marks) (ii) The marginal revenue function of a monopolistic producer is MR = 10 - 40. Find the total revenue function and deduce the corresponding demand function. (5 marks) [Total Marks = 25] TR = M S