CLO1: Solve the mathematical problem by using appropriate techniques and solution. (C3, LD1)Instruction: Answer all the question below:1. This problem cover Chapter 2 (Numerical method). Solve: a) using CROUT method to express L and U value for the matrix A=(8 mark) b) Solve with initial root=1 using Newton Raphson method. (9 mark)2. A carpenter produces chair and stool product. It takes at least 60 hours in producing a chair and 40 hours for stool. Each chair product will take 5days of frame and 10days of craft. Stool product will take 4 days of frame and 4 days of craft. a) express 2 constraints from the statement (5 mark)b) draw a graph for both constraint and shade the inequalities region (6 mark)c) Calculate the maximum hours do a carpenter take for 2 days of frame and 5 days of craft. (6 mark)
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