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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. Salary Benefits Managers 42 6 Associates 18 Restaurant Food Truck Managers Associates 6 25 2 (a) Find the matrix product AB. AB= (Simplify your answer.) 3 A 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. OB. 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. 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. D. 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. Salary Benefits Managers 42 6 Associates 18 Restaurant Food Truck Managers Associates 6 25 2 (a) Find the matrix product AB. AB= (Simplify your answer.) 3 A 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. OB. 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. 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. D. 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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 19EQ: A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two...
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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. ]=A Restaurant Food Truck Managers Associates 6 25 2 3 Managers Associates Salary Benefits 42 6 18 3 = 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 benefits (in thousands) and column 2 represents total salary (in thousands) for all employees. OB. 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. O C. 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. OD. 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.
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. ]=A Restaurant Food Truck Managers Associates 6 25 2 3 Managers Associates Salary Benefits 42 6 18 3 = 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 benefits (in thousands) and column 2 represents total salary (in thousands) for all employees. OB. 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. O C. 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. OD. 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.
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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 6 25 2 3 = A Managers Associates Salary Benefits 42 6 18 3 = B OB. 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. O C. 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. D. 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) 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 6 25 2 3 = A Managers Associates Salary Benefits 42 6 18 3 = B OB. 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. O C. 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. D. 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) 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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