A music recording company has contracts with two bands. The CDs of these bands are released in three countries, Britain, Canada, and Australia. The total number of CDs sold in each country is Britain, 40,000; Canada, 50,000; and Australia, 30,000. The cost of advertising for both bands was $2 per CD in Britain, $1.50 in Canada, and $1 in Australia. If matrix A = [2 1.5 1], what is matrix B if AB represents the total advertising cost (in dollars) for all three countries?

Question

Mathematics

Stephany

24 March, 13:22

A music recording company has contracts with two bands. The CDs of these bands are released in three countries, Britain, Canada, and Australia. The total number of CDs sold in each country is Britain, 40,000; Canada, 50,000; and Australia, 30,000. The cost of advertising for both bands was $2 per CD in Britain, $1.50 in Canada, and $1 in Australia. If matrix A = [2 1.5 1], what is matrix B if AB represents the total advertising cost (in dollars) for all three countries?

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Amiah Holden · Answer 1

If Matrix A is equal to [2 1.5 1], so that AB represents the total advertising cost for all three countries, matrix B is

[40000 50000 30000]

The product of the two matrices or AB will yield the total advertising cost.