To promote making of toilets for women, an organization tried to generate awareness through (i) house calls (ii) letters, and (iii) announcements. The cost for each mode per attempt is given below :

(i) ₹ 50
(ii) ₹ 20
(iii) ₹ 40
The number of attempts made in three villages X, Y and Z are given below :Q9.png

Find the total cost incurred by the organization for three villages separately, using matrices.
Find the total cost incurred by the organization for three villages separately, using matrices.

Matching exercise

    
Match the items on the right to the items on the left.
STEP 1
STEP 2
STEP 3
STEP 4
STEP 5
STEP 6
Hence, the costs per contact in Rs for different types of contacting the people can be expressed in matrix form as -Q9a.png
Let matrix B contain the number of attempts of each type made in the three villages X, Y and Z.

Q9b.png
the total cost incurred by the organization in the three villages for creating awareness can be obtained by taking the product of the matrices B and A.Q9c.png
Q9d.png
Q9e.png
Cost incurred in village X = Rs 30000


Cost incurred in village Y = Rs 23000


Cost incurred in village Z = Rs 39000


Thus, the cost incurred by the organization in villages X, Y and Z is Rs 30000, Rs 23000 and Rs 39000 respectively.