Question

In a parliament election, a political party hired a public relations firm to promote its candidates in three ways − telephone, house calls and letters. The cost per contact (in paisa) is given in matrix A as
\[A = \begin{bmatrix}140 \\ 200 \\ 150\end{bmatrix}\begin{array} \text{Telephone}\\{\text{House calls }}\\ \text{Letters}\end{array}\]

The number of contacts of each type made in two cities X and Y is given in the matrix B as

\[\begin{array}"Telephone & House calls & Letters\end{array}\]

\[B = \begin{bmatrix}1000 & 500 & 5000 \\ 3000 & 1000 & 10000\end{bmatrix}\begin{array} \\City   X \\ City Y\end{array}\]

Find the total amount spent by the party in the two cities.

What should one consider before casting his/her vote − party's promotional activity of their social activities?

 

Answer 1

According to the question,

Let A be the matrix showing the cost per contact (in paisa).

\[A = \begin{bmatrix}140 \\ 200 \\ 150\end{bmatrix}\begin{array}\text{Telephone }\\{\text{House calls}} \\\text{ Letters}\end{array}\]

And, B be a matrix showing the number of contacts of each type made in two cities X and Y.

\[\begin{array}\text{Telephone }& {\text{House calls}} &\text{Letters}\end{array}\]

\[B = \begin{bmatrix}1000 & 500 & 5000 \\ 3000 & 1000 & 10000\end{bmatrix}\begin{array}\text{City X} \\ City Y\end{array}\]

Now, the total amount spent by the party in the two cities will be shown by BA.

\[BA = \begin{bmatrix}1000 & 500 & 5000 \\ 3000 & 1000 & 10000\end{bmatrix}\begin{bmatrix}140 \\ 200 \\ 150\end{bmatrix}\]

`=[[140000 + 100000 + 750000],[420000 + 200000 + 1500000]]`

` = [[990000 ],[2120000]]`

Hence, the total amount spent by the party in the two cities is
X: ₹9900
Y: ₹21200

One should consider social activities of a party before casting his/her vote.