https://file.aiquickdraw.com/mathbot/file/17278024288784b06e0gm.jpg

To determine how many pounds of wheat, oats, and raisins are needed for the order using matrix multiplication, we can represent the problem as a matrix equation.

We have the following information from the image:

The proportion matrix \( A \) for the cereals and their ingredient proportions (wheat, oats, raisins) is:

\[
A = \begin{bmatrix}
0.75 & 0.25 & 0 \\
0.50 & 0.25 & 0.25 \\
0.25 & 0.50 & 0.25
\end{bmatrix}
\]

The order matrix \( B \) for the pounds of each type of cereal is:

\[
B = \begin{bmatrix}
1300 \\
1820 \\
2080
\end{bmatrix}
\]

We need to calculate how many pounds of wheat, oats, and raisins are required. This can be done using matrix multiplication:

\[
X = A \times B
\]

Where \( X \) represents the pounds of wheat, oats, and raisins.

Let me calculate this for you.The result of the matrix multiplication shows that the Health Fare Cereal Company will need the following amounts of ingredients to fill the order:

- **1430 pounds of wheat**
- **1625 pounds of oats**
- **1755 pounds of raisins**

Would you like further details on the matrix operations,

The Health Fare Cereal Company makes three cereals using wheat, oats, and raisins. The proportions of each cereal follow. Use matrix multiplication to determine the number of pounds of wheat, oats, and raisins needed to fill an order of 1300 pounds of Lite, 1820 pounds of Trim, and 2080 pounds of Health Fare.

Learn how to use matrix multiplication to determine the number of pounds of wheat, oats, and raisins needed for a cereal order. This problem involves using a matrix of proportions to calculate quantities for 1300 pounds of Lite, 1820 pounds of Trim, and 2080 pounds of Health Fare cereal. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation