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19. The total monthly earnings of a worker in a factory is given by I = p + qx + ry, where x denotes the number of points of honesty and y denotes the number of points of punctuality. Data for three months are as follows: Month Earnings X (no. of points) Y(no. of points) 1 6950 40 10 2 6725 35 9 3 7100 40 12 (a) Represent the above data by linear equations and write its matrix form. (b) Is it possible to solve the system of equations so obtained using matrices? (c) Which value you prefer to be rewarded most and why?

19. The total monthly earnings of a worker in a factory is given by I = p + qx + ry,

where x denotes the number of points of honesty and y denotes the number of points of

punctuality. Data for three months are as follows:

Month Earnings X (no. of points) Y(no. of points)

1 6950 40 10

2 6725 35 9

3 7100 40 12

 (a) Represent the above data by linear equations and write its matrix form.

(b) Is it possible to solve the system of equations so obtained using matrices?

(c) Which value you prefer to be rewarded most and why?

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