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Consider the following tables dealing with the cost of fruit at two supermarket chains (Store A and Store B), the amounts of fruit two different types of people want, and the number of people of each type in two different towns. a. b. c. Apple Orange Pear Type One Type Two Town X Town Y Store A $0.10 $0.15 $0.10 Apple 5 4 Store B $0.15 $0.20 $0.10 Orange 10 5 Type One 1000 2000 Pear 3 5 Type Two 500 1000 Give a matrix that tells how much each type of person's fruit purchases cost at each store. Give a matrix that tells how much of each fruit will be purchased in each town. Give a matrix that tells the total cost of all fruit purchases in Town X and Town Y for each store. (You will have a value for each town and each store.)

Consider the following tables dealing with the cost of fruit at two supermarket chains (Store A and Store B), the amounts of fruit two different types of people want, and the number of people of each type in two different towns. a. b. c. Apple Orange Pear Type One Type Two Town X Town Y Store A $0.10 $0.15 $0.10 Apple 5 4 Store B $0.15 $0.20 $0.10 Orange 10 5 Type One 1000 2000 Pear 3 5 Type Two 500 1000 Give a matrix that tells how much each type of person's fruit purchases cost at each store. Give a matrix that tells how much of each fruit will be purchased in each town. Give a matrix that tells the total cost of all fruit purchases in Town X and Town Y for each store. (You will have a value for each town and each store.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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### Analyzing Fruit Costs and Consumption In this exercise, we analyze the costs and consumption patterns of fruits across two supermarket chains, different types of people, and two towns. The aim is to create matrices solving specific queries about these patterns. #### Data Tables Explanation 1. **Cost of Fruit at Two Supermarket Chains** | Fruit | Store A | Store B | |---------|---------|---------| | Apple | $0.10 | $0.15 | | Orange | $0.15 | $0.20 | | Pear | $0.10 | $0.10 | This table represents the price per unit of three types of fruits in two different stores. 2. **Amount of Fruit Desired by Two Types of People** | | Apple | Orange | Pear | |---------|-------|--------|------| | Type One| 5 | 10 | 3 | | Type Two| 4 | 5 | 5 | This table shows the quantity of each type of fruit consumed by two categories of people, labelled 'Type One' and 'Type Two'. 3. **Population Distribution in Two Towns** | | Type One | Type Two | |---------|----------|----------| | Town X | 1000 | 500 | | Town Y | 2000 | 1000 | This table gives the number of people of each type living in two towns, labeled 'Town X' and 'Town Y'. #### Matrix Solutions 1. **Matrix for the Cost of Each Type's Fruit Purchase at Each Store** To determine the total cost per person type at each store, we will multiply the quantity of each fruit type by its corresponding price in each store. **Store A:** \[ \begin{array}{cc} & \text{Type One} & \text{Type Two} \\ \hline \text{Apple} & 5 \times 0.10 & 4 \times 0.10 \\ \text{Orange} & 10 \times 0.15 & 5 \times 0.15 \\ \text{Pear} & 3 \times 0.10 & 5 \times 0.
Transcribed Image Text:### Analyzing Fruit Costs and Consumption In this exercise, we analyze the costs and consumption patterns of fruits across two supermarket chains, different types of people, and two towns. The aim is to create matrices solving specific queries about these patterns. #### Data Tables Explanation 1. **Cost of Fruit at Two Supermarket Chains** | Fruit | Store A | Store B | |---------|---------|---------| | Apple | $0.10 | $0.15 | | Orange | $0.15 | $0.20 | | Pear | $0.10 | $0.10 | This table represents the price per unit of three types of fruits in two different stores. 2. **Amount of Fruit Desired by Two Types of People** | | Apple | Orange | Pear | |---------|-------|--------|------| | Type One| 5 | 10 | 3 | | Type Two| 4 | 5 | 5 | This table shows the quantity of each type of fruit consumed by two categories of people, labelled 'Type One' and 'Type Two'. 3. **Population Distribution in Two Towns** | | Type One | Type Two | |---------|----------|----------| | Town X | 1000 | 500 | | Town Y | 2000 | 1000 | This table gives the number of people of each type living in two towns, labeled 'Town X' and 'Town Y'. #### Matrix Solutions 1. **Matrix for the Cost of Each Type's Fruit Purchase at Each Store** To determine the total cost per person type at each store, we will multiply the quantity of each fruit type by its corresponding price in each store. **Store A:** \[ \begin{array}{cc} & \text{Type One} & \text{Type Two} \\ \hline \text{Apple} & 5 \times 0.10 & 4 \times 0.10 \\ \text{Orange} & 10 \times 0.15 & 5 \times 0.15 \\ \text{Pear} & 3 \times 0.10 & 5 \times 0.
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