1. Suppose the cost function associated with YouPlay Yogurt manufactured at the Food Processing Plant at Old Parham Rd is defined as 5x - 1 C(x) = x +2 Where x denotes the number of cartons of yogurt manufactured per day (a) Find the cost in US $ of producing 50 cartons of yogurt [2 marks] (b) Find the cost in US $of producing 250 cartons of yogurt [2 marks] (c) Of this cost, which is more economical? Provide a reason to support your response [1 mark] (d) Find the expression that corresponds to C-1(x) [4 marks] (e) Given the following two functions f (x) = 4x2 + 3 and g(x) = 9x Find an expression for (i) fg(x) [3 marks] (ii) gf (x) [3 marks] 2. Stocks of Shell Top Gasoline are initially issued at the price of $150 US. The value of the stock grows by 15% every year. (a) Show that the value of a stock follows a geometric sequence. [8 marks] (b) Calculate the value of the stock ten years after the initial public offering. [3 marks]