
Concept explainers
(a)
To write: The total amount that has been spent on the flowers by the use of matrix multiplication.
(a)

Answer to Problem 34PPS
The total amount spent on the flowers is
Explanation of Solution
Given information:
Students bought 200 roses, 150 daffodils and 100 orchids.
The purchase price and the sales price of the flowers is represented below in Table 1.
Flower | Purchase price | Sales Price |
Rose | $1.67 | $3.00 |
Daffodil | $1.03 | $2.25 |
orchid | $2.59 | $4.50 |
Calculation:
The row matrix for the number of flowers sold can be represented as,
The column matrix for the purchase price of each flower can be represented as,
Now multiply the two matrices
The product of two matrices can be obtained by multiplying the numbers in the first row by the numbers in the first column of the matrix.
Therefore, the total amount spent on the flowers is
Conclusion:
Thus, the total amount spent on the flowers is
(b)
To find: The total amount received on the sale of flowers by the use of multiplication.
(b)

Answer to Problem 34PPS
The total amount received on the sale of flowers is
Explanation of Solution
Given information:
Students bought 200 roses, 150 daffodils and 100 orchids.
The purchase price and the sales price of the flowers is represented below in Table 1.
Flower | Purchase price | Sales Price |
Rose | $1.67 | $3.00 |
Daffodil | $1.03 | $2.25 |
orchid | $2.59 | $4.50 |
Calculation:
The row matrix for the number of flowers sold can be represented as,
The column matrix for the sales price of each flower can be represented as,
Now multiply the two matrices
Therefore, the total amount received on the flowers is
Conclusion:
Thus, the total amount received on the flowers is
(c)
To find: The amount of the profit made by the students on the sale of the flowers.
(c)

Answer to Problem 34PPS
The profitable amount is
Explanation of Solution
Calculation:
Profit is the valuable return in which revenue exceeds the cost of the product.
The purchase price matrix is
Subtract the purchase price from the sales matrix to obtain the profit made by the students on the sales of the flower.
Therefore, the profitable amount is
Conclusion:
Thus, the profitable amount is
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
Additional Math Textbook Solutions
College Algebra with Modeling & Visualization (5th Edition)
University Calculus: Early Transcendentals (4th Edition)
Basic Business Statistics, Student Value Edition
Algebra and Trigonometry (6th Edition)
Thinking Mathematically (6th Edition)
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