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. Salary Benefits 7 ]=A ]=B 2 Restaurant Food Truck Managers Associates 7 23 1 6 Managers 37 Associates 21 (a) Find the matrix product AB. AB= (Simplify your answer.) (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 salary (in thousands) and column 2 represents total benefits (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. O C. 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 27E
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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
7
1
23
6
=A
Salary Benefits
Managers 37 7
Associates 21
2
= B
(a) Find the matrix product AB.
AB= (Simplify your answer.)
(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 salary (in thousands) and column 2 represents
total benefits (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 benefits (in thousands) and column 2
represents total salary (in thousands) for all employees.
Transcribed Image Text: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 7 1 23 6 =A Salary Benefits Managers 37 7 Associates 21 2 = B (a) Find the matrix product AB. AB= (Simplify your answer.) (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 salary (in thousands) and column 2 represents total benefits (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 benefits (in thousands) and column 2 represents total salary (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
Managers Associates
7
1
23
6
=A
Salary Benefits
Managers 37 7
Associates 21
2
= B
C. 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.
D. Row 1 of AB represents the food truck and row 2 represents the restaurant. Column 1 of AB represents total benefits (in thousands) and column 2
represents total salary (in thousands) for all employees.
(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 $
The total cost of benefits for all employees at the food truck is $
Transcribed Image Text: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 7 1 23 6 =A Salary Benefits Managers 37 7 Associates 21 2 = B C. 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. D. Row 1 of AB represents the food truck and row 2 represents the restaurant. Column 1 of AB represents total benefits (in thousands) and column 2 represents total salary (in thousands) for all employees. (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 $ The total cost of benefits for all employees at the food truck is $
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