Solada Fox sells fruit from her three farms. Apples are 22...

Solada Fox sells fruit from her three farms. Apples are $\$ 22$ a case, peaches are $\$ 25$ a case, and apricots are $\$ 18$ a case. $$ \begin{array}{|c|c|c|c|} \hline \text { Farm } & \text { Apples } & \text { Peaches } & \text { Apricots } \\ \hline 1 & 290 & 165 & 210 \\ \hline 2 & 175 & 240 & 190 \\ \hline 3 & 110 & 75 & 0 \\ \hline \end{array} $$ Write an inventory matrix for the number of cases for each type of fruit for each farm and a cost matrix for the price per case for each type of fruit.

Solada Fox sells fruit from her three farms. Apples are $\$ 22$ a case, peaches are $\$ 25$ a case, and apricots are $\$ 18$ a case.
$$
\begin{array}{|c|c|c|c|}
\hline \text { Farm } & \text { Apples } & \text { Peaches } & \text { Apricots } \\
\hline 1 & 290 & 165 & 210 \\
\hline 2 & 175 & 240 & 190 \\
\hline 3 & 110 & 75 & 0 \\
\hline
\end{array}
$$
Write an inventory matrix for the number of cases for each type of fruit for each farm and a cost matrix for the price per case for each type of fruit.

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Key Concepts

Matrix

A matrix is a rectangular array of numbers organized in rows and columns that serves as a compact way to represent data and perform various operations in linear algebra. It can be used to systematically handle and manipulate complex datasets.

Inventory Matrix

An inventory matrix is a specific application of a matrix where data is arranged to show the quantities of items, such as products, available from different sources or locations. In this context, each row typically represents a different source (like a farm or store) and each column represents a distinct product type, allowing for efficient organization and analysis of inventory data.

Cost Matrix

A cost matrix is used to encapsulate pricing information in a structured format, often represented as a row vector when each entry corresponds to the cost of a specific product type. This matrix facilitates straightforward calculations such as determining total costs when combined (through operations like multiplication) with an associated inventory matrix.

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