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 8 1 948 120 192 22 28 7 (Simplify your answer.) = A Managers Associates Salary Benefits 8 45 21 2 B (b) Explain what AB represents. Choose the correct answer below. O A. 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. OB. 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. OC. 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.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.3: Matrix Approa To Solving Linear Systems
Problem 51PS
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OB. 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.
OC. 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 D. 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.
(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:OB. 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. OC. 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 D. 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. (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 $
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
8
28
7
1
948 120
192 22
(Simplify your answer.)
= A
Managers
Associates
Salary Benefits
45
8
21
CON
2
(b) Explain what AB represents. Choose the correct answer below.
O A. 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.
OB. 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.
OC. 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.
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 (a) Find the matrix product AB. AB= Managers Associates 8 28 7 1 948 120 192 22 (Simplify your answer.) = A Managers Associates Salary Benefits 45 8 21 CON 2 (b) Explain what AB represents. Choose the correct answer below. O A. 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. OB. 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. OC. 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.
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