Felipe, Pablo, and Amy each sell avocados for $1.40 each, boxes of strawberries for $1.90 each, and tomatoes for $0.70 each. They don't sell any other food. The number sold by each seller and each type of food is as follows. Number sold Avocados Boxes of strawberries Tomatoes 440 570 520 Felipe 400 Pablo 620 Amy 530 The table can be represented as the following matrix. 400 420 440 A 620 590 570 530 480 520 (a) Find a matrix B whose entries are the prices (in dollars) of each type of food. Make sure the product AB is defined and its entries are the amounts of money (in dollars) made by each seller overall. B = 420 590 480 0 (b) Calculate the product AB. AB= 0 (c) How much money (in dollars) did Felipe make overall? 9 10 18 X [00] [000) 000 000 Undefined
Felipe, Pablo, and Amy each sell avocados for $1.40 each, boxes of strawberries for $1.90 each, and tomatoes for $0.70 each. They don't sell any other food. The number sold by each seller and each type of food is as follows. Number sold Avocados Boxes of strawberries Tomatoes 440 570 520 Felipe 400 Pablo 620 Amy 530 The table can be represented as the following matrix. 400 420 440 A 620 590 570 530 480 520 (a) Find a matrix B whose entries are the prices (in dollars) of each type of food. Make sure the product AB is defined and its entries are the amounts of money (in dollars) made by each seller overall. B = 420 590 480 0 (b) Calculate the product AB. AB= 0 (c) How much money (in dollars) did Felipe make overall? 9 10 18 X [00] [000) 000 000 Undefined
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Felipe, Pablo, and Amy each sell avocados for $1.40 each, boxes of strawberries for $1.90 each, and tomatoes for $0.70 each. They don't sell any other food. The number sold by each seller and each type of food is as follows.
| | Avocados | Boxes of strawberries | Tomatoes |
|----------|----------|-----------------------|----------|
| Felipe | 400 | 420 | 440 |
| Pablo | 620 | 590 | 570 |
| Amy | 530 | 480 | 520 |
The table can be represented as the following matrix:
\[
A = \begin{bmatrix}
400 & 420 & 440 \\
620 & 590 & 570 \\
530 & 480 & 520
\end{bmatrix}
\]
**(a)** Find a matrix \( B \) whose entries are the prices (in dollars) of each type of food. Make sure the product \( AB \) is defined, and its entries are the amounts of money (in dollars) made by each seller overall.
\[
B = \begin{bmatrix}
1.40 \\
1.90 \\
0.70
\end{bmatrix}
\]
**(b)** Calculate the product \( AB \).
\[
AB = \begin{bmatrix}
1,554 \\
2,135 \\
1,801
\end{bmatrix}
\]
**(c)** How much money (in dollars) did Felipe make overall?
\[
\$ = 1,554
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3510745c-b224-4e3c-988a-4a06d65307ae%2Fdb442b5a-daeb-4820-9665-a237085659f5%2Fatsbl08_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Felipe, Pablo, and Amy each sell avocados for $1.40 each, boxes of strawberries for $1.90 each, and tomatoes for $0.70 each. They don't sell any other food. The number sold by each seller and each type of food is as follows.
| | Avocados | Boxes of strawberries | Tomatoes |
|----------|----------|-----------------------|----------|
| Felipe | 400 | 420 | 440 |
| Pablo | 620 | 590 | 570 |
| Amy | 530 | 480 | 520 |
The table can be represented as the following matrix:
\[
A = \begin{bmatrix}
400 & 420 & 440 \\
620 & 590 & 570 \\
530 & 480 & 520
\end{bmatrix}
\]
**(a)** Find a matrix \( B \) whose entries are the prices (in dollars) of each type of food. Make sure the product \( AB \) is defined, and its entries are the amounts of money (in dollars) made by each seller overall.
\[
B = \begin{bmatrix}
1.40 \\
1.90 \\
0.70
\end{bmatrix}
\]
**(b)** Calculate the product \( AB \).
\[
AB = \begin{bmatrix}
1,554 \\
2,135 \\
1,801
\end{bmatrix}
\]
**(c)** How much money (in dollars) did Felipe make overall?
\[
\$ = 1,554
\]
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