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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 75E
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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=
880 95
121 13
Managers Associates
9
25
4
1
(Simplify your answer.)
n example
=A
Managers
Associates
Salary Benefits
45
5
19
2
(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.
Get more help -
=B
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.
Clear all
Check answer
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= 880 95 121 13 Managers Associates 9 25 4 1 (Simplify your answer.) n example =A Managers Associates Salary Benefits 45 5 19 2 (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. Get more help - =B 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. Clear all Check answer
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Follow-up Question
​(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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