A company produces three products, X, Y, and Z. Each unit of Product X requires 2 hours of labor, 1 hour of machine time, and 3 hours of assembly time. Each unit of Product Y requires 1 hour of labor, 2 hours of machine time, and 2 hours of assembly time. Each unit of Product Z requires 3 hours of labor, 2 hours of machine time, and 1 hour of assembly time. The company has the following resources available: 200 hours of labor, 150 hours of machine time, 120 hours of assembly time The profit per unit for each product is as follows: Product X: Rs. 30/-, Product Y: Rs. 25/-, Product Z: Rs. 20/-. The company wants to maximize its total profit. a) Formulate a linear programming model for the above problem. (5 marks) b) Prepare the first simplex table. (2 marks) c) Find the pivot element. (2 marks) d) The final simplex table for the above problem is given below. Note: s1, s2and s3 relates to products X, Y, and Z respectively.