Question

To promote the making of toilets for women, an organization tried to generate awarencess through:

(i) house calls

(ii) letters

(iii) announcements.
The cost for each mode per attempt is given below:
(i) Rs $50$
(i) Rs $20$
(i) Rs $40$
The number of attempts made in three villages X, Y and Z are given below:

	(i)	(ii)	(iii)
X	$400$	$300$	$100$
Y	$300$	$250$	$75$
Z	$500$	$400$	$150$

Find the total cost incurred by the organization for the three villages separately, using matrices.
Write one value generated by the organization in the society.

Answer 1

Total cost $=\Sigma$number of attempts per mode times cost per attempt per mode.

In matrix form it simply becomes,

$\left[\begin{array}{ccc}400& 300& 100\\ 300& 250& 75\\ 500& 400& 150\end{array}\right]\left[\begin{array}{c}50\\ 20\\ 40\end{array}\right]=\left[\begin{array}{c}30000\\ 23000\\ 39000\end{array}\right]$.

total cost in village X $=30,000$

total cost in village Y $=23,000$

total cost in village Z $=39,000$