The rate of change of the profit P (in million cedis) of a company when producing units of a product is given by = + 304 Where is a constant. The company breaks even when = 17 or = 21 Required (a) Find the value of the constant k. (3 marks) (b) Determine the total profit function in terms of x (2 marks) (c) Determine the maximum profit and the level of output at which this occurs (2 marks) (d) Sketch the profit of function showing the maximum point and the points at which the company breaks even (3 marks)