Engineering
Mathematics
Introduction to Matrix
Algebra of Matrices
Question

To raise money for an orphanage, students of three schools A, B and C organized an exhibition in their locality, where they sold paper bags, scrap books and pastel sheets made by them using recycled paper at the rate of Rs.20, Rs.15, and Rs.10 per unit respectively. School A sold 25 paper bags, 10 scrap books and 30 pastel-sheets. School B sold 20 paper bags, 15 scrap books and 30 pastel-sheets while School C sold 25 paper bags, 18 scrap books and 35 pastel-sheets. Using matrices, find the total amount raised by each school.

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Solution
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We can form matric of A, B, C

L=(251030202530252835)
And cost matrix X=(201530)
Then LX=(251030202530252835)(201530)=(9509251120)