CASE STUDY CHALLENGE

Matrices: NGO Cost Analysis

To promote the making of toilets in villages, an NGO hired an agency for generating awareness for the cause through house calls, letters and announcements through speakers.

The cost per mode of communication is given below:

Cost per visit / communication House calls Letters Announcements
15 10 25

The number of contacts made in two villages X and Y were as follows:

Village Houses visited Letters sent Number of announcements
X 100 150 110
Y 150 200 150

Using the above information, answer the following questions:

Answer the following:

(i) Write A, the matrix for cost per visit/communication. [1]
(ii) Write B, the matrix representing number of contacts in two villages, X and Y. [1]
(iii) (a) Find the cost (in ₹) incurred by the NGO for village X.

— OR —

(b) Find the cost (in ₹) incurred by the NGO for village Y.

[2]