2. The prot function of certain product is given by the function P(a:) = $3 632 + 123:, where 0 g m S 5 is measured in units of hundreds; C is expressed in unit of thousands of dollars. (a) Find the intervals where P(a:) is increasing and where it is decreasing. (b) Find the relative maxima and minima of the function on the given interval. (c) Find any absolute maxima and minima of the function on the given interval. (d) Describe the concavity of P(m), and determine if there are any inection points