Q. 754.0( 4 Votes )
75. 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 :
Find the total cost incurred by the organization for three villages separately, using matrices.
Given costs in Rs for making different types of attempts.
Cost for one house call = Rs 50
Cost for one letter = Rs 20
Cost for one announcement = Rs 40
Hence, the costs per contact in Rs for different types of contacting the people can be expressed in matrix form as -
Let matrix B contain the number of attempts of each type made in the three villages X, Y and Z.
From the given information, the number of attempts made can be expressed in the matrix form as -
Now, 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.
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.
Rate this question :
Three schools A, B and C organized a mela for collecting funds for helping the rehabilitation of flood victims. They sold hand made fans, mats and plates from recycled material at a cost of Rs 25, Rs 100 and Rs 50 each. The number of articles sold are given below :
Find the funds collected by each school separately by selling the above articles. Also find the total funds collected for the purpose.
Write one value generated by the above situation.Mathematics - Board Papers
Using properties of determinants, show that is triangle ABC is isosceles if:
A shopkeeper has 3 varieties of pens ‘A’, ‘B’ and ‘C’. Meenu purchased 1 pen of each variety for a total of ₹ 21. Jeevan purchased 4 pens of ‘A’ variety, 3 pens of ‘B’ variety and 2 pens of ‘C’ variety for ₹ 60. While Shikha purchased 6 pens of ‘A’ variety, 2 pens of ‘B’ variety and 3 pens of ‘C’ variety for ₹ 70. Using matrix method, find cost of each variety of pen.Mathematics - Board Papers
Two schools A and B want to award their selected students on the values of sincerity, truthfulness and helpfulness. The school A wants to award rs x each, ₹ y each and ₹ z each for the three respective values to 3, 2 and 1 students respectively with total award money of ₹ 1,600. School B wants to spend ₹ 2,300 to award its 4, 1 and 3 students on the respective values (by giving the same award money to the three values as before). If the total amount of award for one prize on each value is ₹ 900, using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for the award.Mathematics - Board Papers
State True or False for the statements
The determinant is equal to zero.Mathematics - Exemplar