Two factories decided to award their employees for three values of (a) adaptable to new techniques, (b) careful and alert in difficult situations and (c) keeping calm in tense situations, at the rate of Rs `x ,\ y\ a n d\ z` per person respectively. The first factory decided to honour respectively 2, 4 and 3 employees with a total prize money of Rs 29000. The second factory decided to honour respectively 5, 2 and 3 employees with the prize money of Rs 30500. If the three prizes per person together cost Rs 9500, then represent the above situation by a matrix equation and form linear equations using matrix multiplication. Solve these equations using matrices. (iii) Which values are reflected in the questions?