Math Problem Statement
Solution
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Table:
The table presents sales data for three products (11 - A, 11 - B, 11 - C) over three days (1, 2, 3). The data is divided into two price categories (Rs. 50 and Rs. 100) for each day.
1st Day | 2nd Day | 3rd Day | ||||
---|---|---|---|---|---|---|
Rs. 50 | Rs. 100 | Rs. 50 | Rs. 100 | Rs. 50 | Rs. 100 | |
11 - A | 20 | 75 | 16 | 80 | 12 | 40 |
11 - B | 12 | 60 | 15 | 75 | 18 | 45 |
11 - C | 09 | 80 | 24 | 90 | 24 | 70 |
Questions:
i. Calculate matrix using the first day's data.
ii. Calculate matrix using the second day's data.
iii. Calculate matrix using the third day's data.
iv. Find .
v. If and , calculate .
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Math Problem Analysis
Mathematical Concepts
Matrix Operations
Averaging Matrices
Matrix Multiplication
Formulas
Matrix addition: \( M + P + R \)
Averaging: \( \frac{1}{3}(M + P + R) \)
Matrix multiplication: \( A = RK \)
Theorems
-
Suitable Grade Level
Grades 10-12
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