Consider the following maximisation linear programming problem: Maximise: 2=5x+4y subject to: 3x+2y15,2x+4y14,4x10,5y25,10y10 The corresponding graph for this problem is shown below with the area of feasibility having been identified this is the shaded area on the graph). a) Calculate the optimal solution for this problem. All your calculations must be clearly shown. (15 points) b) Examine whether your optimal solution has resulted in any spare resources. All your calculations must be dearly shown. (10 points)