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Question

In a legislative assembly election, a political group hired a public relations firm to promote its candidates in three ways: telephone, house calls and letters. The cost per contact (in paise) is given matrix A as
A=Costpercontact4010050TelephoneHousecallLetter
The number of contacts of each type made in two cities X and Y is given in matrix B as
TelephoneHousecallLetterB=100050050003000100010000XY
Find the total amount spent by the group in the two cities X and Y.

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Solution

The cost per contact inpaise is given by

A=4010050TelephoneHousecallLetter

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

TelephoneHousecallLetterB=100050050003000100010000XY

Total amount spent by the group in the two cities X and Y is given by

BA=1000500500030001000100004010050=40000+50000+250000120000+100000+500000=340000720000XY

Thus,
Amount spent on X = Rs 3400
Amount spent on Y = Rs 7200

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