1. If f (x) = x3 - -x2 - 6x +5, find (a extreme value for f(x) . (4 marks) (b) increasing and decreasing interval for f (x). (6 marks) 2. A demand function for a particular good is p = 10 - - Calculate price elasticity 1000 of demand at q = 1000 . Interpret your answer. (4 marks) 3. Let's assume the cost function is C(q) = 7000 + 2q. (a) Find quantity that maximizes profit and prove it is maximum. (4 marks) (b) Calculate maximum profit. (2 marks)