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Two firms X and Y decided to award prizes to their employees for three norms Obedience (O), Punctual (P), Quality of work (Q). Firm X decided to award Rs. 40000 for the three values to 2, 4, 7 employees respectively while Y decided to award Rs. 51000 to 4, 2, 8 employees respectively. If all the three prizes together amount to Rs. 8750, then (i) Represent the above situation by a matrix equation and form linear equation using matrix multiplication. (ii) Is it possible to solve the system of linear equations so obtained using matrices? (iii) Which value you prefer to be rewarded most and why?

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