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 he 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 (Simplify your answer.) = A Managers Associates Salary Benefits 45 8 21 2 D =B

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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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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