Suppose we have the following set of matrices, and the following tables that are used to find the optimal solution for MCM 15 20 20 A, 12 - ... ... As 15 A. MO A1 A2 A3 A4 A5 A6 0 AI | | 0 | 2400 | 2200 3625 5425 A2 0 1000 1700 3025 5025 A3 0 350 1275 3025 A4 0 525 2025 AS 0 2100 A6 0 S[): Split Points A1 A2 A3 A4 A5 A6 0 Al 013 33 A2 0 2 33 3 A3 0 3 3 3 A4 0 4 5 A5 0 5 A6 0 al a) Calculate M[1,4]. Show the calculations. b) Where (in M) we can find the optimal solution for this problem? c) Construct the full parenthesis solution for the above problem d) What does the number 1275 mean in the above table