2. A company is developing a new soft drink. The cost in dollars to produce a batch of the drink is approximated by C(x, y) = 2200 + 271' - 72ry + 8y2 where x is the number of kilograms of sugar per batch and y is the number of grams of flavoring per batch. (a) (8 pts) Find the amounts of sugar and flavoring that result in a local minimum cost for a batch. (b) (8 pts) Check that the values result in a minimum using the second derivative test. (c) (4 pts) Find the actual minimum cost corresponding to the answer found in part (a)