a.) A firm manufactures 3 products A, B and C. To produce 1 unit of product A, 1 hour of grinding, 2 hours of pressing and 3 hours of packing is required. To produce 1 unit of product B, 2 hours of grinding, 3 hours of pressing and 4 hours of packing is required respectively while for product C, 3 hours, 4 hours and 1 hour of grinding, pressing and packing are required respectively. If the firm uses 14 hours of grinding, 20 hours of pressing and 14 hours of packing for production, formulate the system of equations to find the number of units of product A, B and C produced by the firm. Solve the system using LU decomposition method.

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