https://file.aiquickdraw.com/mathbot/file/1726241201619b4wzvuhh.jpg

In the provided image, we see two tables presenting data related to milk consumption and pricing over the years 2017 and 2018. Let's break down the information in both tables:

1. **First Table** - It shows the **daily consumption (in liters) of two types of milk** (whole "Entera \( I_1 \)" and skimmed "Descremada \( I_2 \)") for **three families** \( F_1 \), \( F_2 \), and \( F_3 \).
   - The rows correspond to different families.
   - The columns represent the liters consumed by each family for the respective type of milk.

2. **Second Table** - It shows the **average unit price of milk (in currency per liter)** for both types of milk in **2017 and 2018**.
   - The first column indicates the year.
   - The remaining columns show the prices for each milk type (whole and skimmed).

The question tasks given below the table are:

**2.1.1** Find the **matrix representation** of the price for both types of milk in 2017 and 2018.

**2.1.2** Find the **daily expenditure** on milk by each family in 2017 and 2018.

To solve this, here are the steps we can follow:

### 1. Matrix Representation of Prices
You can directly use the second table as a matrix, with the year as rows and milk type as columns:

\[
\text{Price Matrix} =
\begin{bmatrix}
5600 & 5850 \\
6500 & 6850
\end{bmatrix}
\]
- Where the first column corresponds to \( I_1 \) (whole milk), and the second column corresponds to \( I_2 \) (skimmed milk).

### 2. Daily Expenditure for Each Family
For each family and each year, multiply their daily consumption of each type of milk by the respective price per liter. Let’s calculate the expenditure for 2017 and 2018 by using the consumption values from the first table and the prices from the second table.

If you'd like, I can calculate these values step by step or proceed with the solution for each family.

Let me know how you'd like to continue, and feel free to ask for any clarifications!

---

**Relative Questions**:
1. How is matrix multiplication applied in this context of family expenditure?
2. What are other real-life applications of matrix representation in economics?
3. How would the total consumption across all families affect the overall spending for each year?
4. Could we use a similar approach for analyzing family consumption of other goods?
5. What would be the impact on expenditure if the prices of milk increased annually at a different rate?

**Tip**: When working with matrix multiplication in problems like this, always ensure that your matrix dimensions align properly for multiplication.

Three families consume two types of milk daily (whole and skimmed). Data from 2017 and 2018 is provided in terms of liters consumed by each family and average milk prices. The tasks include determining the matrix representation of prices for 2017 and 2018 and calculating the daily expenditure of each family on milk for those years.

Explore how to calculate the matrix representation of milk prices for 2017 and 2018, along with determining daily family expenditures. The problem involves using matrix multiplication and basic arithmetic concepts.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation