Problem 1: Single Variable Optimization Consider the following function: 1 f(m) = + 33:2 53:3 where a: 6 [1,1] (a) Find the a: that are critical value points of f (at) (values of a: that are a potential mini- mum or maximum or, equivalently, the values that solve the rst order condition). (b) Are those critical values maximum or minimum? (Hint: Check the second order condition. Check also the value of the function at the endpoints -1 and 1 to determine whether you have local or global maximum or minimum.)