A restaurant has a main location and a traveling food truck. The first matrix A shows the number of managers and associates employed. The second matrix B shows the average annual cost of salary and benefits (in thousands of dollars). Complete parts (a) through (c) below.- Matrix A (number of employees): \[ \begin{bmatrix} 9 & 25 \\ 1 & 4 \end{bmatrix} \] *Rows represent*: - Row 1: Restaurant - Row 2: Food Truck *Columns represent*: - Column 1: Managers - Column 2: Associates- Matrix B (cost in thousands): \[ \begin{bmatrix} 45 & 5 \\ 19 & 2 \end{bmatrix} \] *Columns represent*: - Column 1: Salary - Column 2: Benefits(a) Find the matrix product AB:\[AB = \begin{bmatrix}880 & 95 \\121 & 13 \end{bmatrix}\](Simplify your answer.)(b) Explain what AB represents. Choose the correct answer below:- Option A: Row 1 of AB represents the restaurant and row 2 represents the food truck. Column 1 of AB represents total benefits (in thousands) and column 2 represents total salary (in thousands) for all employees.- Option B: Row 1 of AB represents the food truck and row 2 represents the restaurant. Column 1 of AB represents total salary (in thousands) and column 2 represents total benefits (in thousands) for all employees.- **Option C: Row 1 of AB represents the restaurant and row 2 represents the food truck. Column 1 of AB represents total salary (in thousands) and column 2 represents total benefits (in thousands) for all employees.** (Correct)The diagram consists of matrices and a system to solve for the product of employee numbers with their respective costs.

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A restaurant has a main location and a traveling food truck. The first matrix A shows the number of managers and associates employed. The second matrix B shows the average annual cost of salary and benefits (in thousands of dollars). Complete parts (a) through (c) below. Restaurant Food Truck (a) Find the matrix product AB. AB= Managers Associates 9 25 4 880 95 121 13 (Simplify your answer.) =A Managers Associates Salary Benefits 45 5 19 2 GECEN =B (b) Explain what AB represents. Choose the correct answer below. O A. Row 1 of AB represents the restaurant and row 2 represents the food truck. Column 1 of AB represents total benefits (in thousands) and column 2 represents total salary (in thousands) for all employees. B. Row 1 of AB represents the food truck and row 2 represents the restaurant. Column 1 of AB represents total salary (in thousands) and column 2 represents total benefits (in thousands) for all employees. c. Row 1 of AB represents the restaurant and row 2 represents the food truck. Column 1 of AB represents total salary (in thousands) and column 2 represents total benefits (in thousands) for all employees.

A restaurant has a main location and a traveling food truck. The first matrix A shows the number of managers and associates employed. The second matrix B shows the average annual cost of salary and benefits (in thousands of dollars). Complete parts (a) through (c) below. Restaurant Food Truck (a) Find the matrix product AB. AB= Managers Associates 9 25 4 880 95 121 13 (Simplify your answer.) =A Managers Associates Salary Benefits 45 5 19 2 GECEN =B (b) Explain what AB represents. Choose the correct answer below. O A. Row 1 of AB represents the restaurant and row 2 represents the food truck. Column 1 of AB represents total benefits (in thousands) and column 2 represents total salary (in thousands) for all employees. B. Row 1 of AB represents the food truck and row 2 represents the restaurant. Column 1 of AB represents total salary (in thousands) and column 2 represents total benefits (in thousands) for all employees. c. Row 1 of AB represents the restaurant and row 2 represents the food truck. Column 1 of AB represents total salary (in thousands) and column 2 represents total benefits (in thousands) for all employees.

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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Question

A restaurant has a main location and a traveling food truck. The first matrix A shows the number of managers and associates employed. The second matrix B shows the average annual cost of salary and benefits (in thousands of dollars). Complete parts (a) through (c) below.

- Matrix A (number of employees):
\[
\begin{bmatrix}
9 & 25 \\
1 & 4
\end{bmatrix}
\]
*Rows represent*:
- Row 1: Restaurant
- Row 2: Food Truck

*Columns represent*:
- Column 1: Managers
- Column 2: Associates

- Matrix B (cost in thousands):
\[
\begin{bmatrix}
45 & 5 \\
19 & 2
\end{bmatrix}
\]
*Columns represent*:
- Column 1: Salary
- Column 2: Benefits

(a) Find the matrix product AB:

\[
AB =
\begin{bmatrix}
880 & 95 \\
121 & 13
\end{bmatrix}
\]

(Simplify your answer.)

(b) Explain what AB represents. Choose the correct answer below:

- Option A: Row 1 of AB represents the restaurant and row 2 represents the food truck. Column 1 of AB represents total benefits (in thousands) and column 2 represents total salary (in thousands) for all employees.
- Option B: Row 1 of AB represents the food truck and row 2 represents the restaurant. Column 1 of AB represents total salary (in thousands) and column 2 represents total benefits (in thousands) for all employees.
- **Option C: Row 1 of AB represents the restaurant and row 2 represents the food truck. Column 1 of AB represents total salary (in thousands) and column 2 represents total benefits (in thousands) for all employees.** (Correct)

The diagram consists of matrices and a system to solve for the product of employee numbers with their respective costs.

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(c) According to matrix AB, what is the total cost of salaries for all employees (managers and associates) at the restaurant? What is the total cost of benefits for all employees at the food truck?

The total cost of salaries for all employees at the restaurant is

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A restaurant has a main location and a traveling food truck. The first matrix A shows the number of managers and associates employed. The second matrix B shows the average annual cost of salary and benefits (in thousands of dollars). Complete parts (a) through (c) below. Restaurant Food Truck Managers Associates 5 29 1 6 (a) Find the matrix product AB. 891 98 183 20 AB= (Simplify your answer.) |=A Salary Benefits Managers 39 8 Associates 24 2 =B (b) Explain what AB represents. Choose the correct answer below. A. Row 1 of AB represents the restaurant and row 2 represents the food truck. Column 1 of AB represents total benefits (in thousands) and column 2 represents total salary (in thousands) for all employees. B. Row 1 of AB represents the restaurant and row 2 represents the food truck. Column 1 of AB represents total salary (in thousands) and column 2 represents total benefits (in thousands) for all employees. C. Row 1 of AB represents the food truck and row 2 represents the…
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