(25 points) Reconsider the Inventory Management example from class (Example 4.12 in the book) with k = 3, m = 2, 1 = 1/day and u = 1.3/day. (a) Set up a system of equations, not in matrix form, that would allow you to solve for the steady state distribution. (b) Solve for the steady state distribution. (c) In the long run, at what rate are sales lost? (25 points) Reconsider the Inventory Management example from class (Example 4.12 in the book) with k = 3, m = 2, 1 = 1/day and u = 1.3/day. (a) Set up a system of equations, not in matrix form, that would allow you to solve for the steady state distribution. (b) Solve for the steady state distribution. (c) In the long run, at what rate are sales lost