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Question

In a legislative assembly election, a political group hired a public relations firm to promote its candidate in three ways: telephone, house calls, and letters. The cost per contact (in paise) is given in matrix A as:
Cost per contact
A=4010050 TelephoneHouse callLetter
The number of contacts of each type made in two cities X and Y is given by-
TelephoneHouse callLetter
B=[1000 500 50003000 1000 10,000]XY
Final the total amount spent by the group in the two cities X and Y.

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Solution

Given: A=4010050 TelephoneHouse callLetter
TelephoneHouse callLetter
B=[1000 500 50003000 1000 10,000]
Totla amount spent = Number of contacts×Cost per contact=BA
=[100050050003000100010,000]2×340100503×1
=[1000(40)+500(100)+5000(50)3000(40)+1000(100)+10,000(50)]2×1
=[40,000+50,000+250,000120,000+100,000+5000,000]=[340,000720,000]
Hence, total amount spent =[340,000720,000]XY
So, the total amount spent by the group:
In city X=340,000 paise =Rs.3400
In city Y=720,000 paise =Rs.7200
Note: We cannot do AB because orders are not compatible.

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