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APPLICATIONS Fact-Food Sales A small fast-food chain with restaurants in Santa Monica, Lang Beach, and Anaheim sells only hamburgers, hot dogs, and milk shakes. On a certain day, sales were distributed according to the following matrix. Number of items sold Santa Monica Long Beach Anaheim Hamburgers Hot dogs Milk shakes [ 4000 1000 3500 400 300 200 700 500 9000 ] = A The price of each item is given by the following matrix. Hamburger Hot Dog Milk shake [ $ 0.90 $ 0.80 $ 1.10 ] = B (a) Calculate the product B A . (b) Interpret the entries in the product matrix B A .

APPLICATIONS Fact-Food Sales A small fast-food chain with restaurants in Santa Monica, Lang Beach, and Anaheim sells only hamburgers, hot dogs, and milk shakes. On a certain day, sales were distributed according to the following matrix. Number of items sold Santa Monica Long Beach Anaheim Hamburgers Hot dogs Milk shakes [ 4000 1000 3500 400 300 200 700 500 9000 ] = A The price of each item is given by the following matrix. Hamburger Hot Dog Milk shake [ $ 0.90 $ 0.80 $ 1.10 ] = B (a) Calculate the product B A . (b) Interpret the entries in the product matrix B A .

Solution Summary: The author explains how two matrices A and B can be multiplied by the following matrix.

Algebra and Trigonometry (MindTap Course List)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Textbook Question

Chapter 11.2, Problem 56E

APPLICATIONS

Fact-Food Sales A small fast-food chain with restaurants in Santa Monica, Lang Beach, and Anaheim sells only hamburgers, hot dogs, and milk shakes. On a certain day, sales were distributed according to the following matrix.

	Number of items sold
	Santa Monica	Long Beach	Anaheim
Hamburgers Hot dogs Milk shakes	[ 4000 1000 3500 400 300 200 700 500 9000 ]			= A

The price of each item is given by the following matrix.

Hamburger	Hot Dog	Milk shake
[ $ 0.90 $ 0.80 $ 1.10 ]			= B

(a) Calculate the product B A .

(b) Interpret the entries in the product matrix B A .

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Chapter 11.2, Problem 55E

Chapter 11.2, Problem 57E

Chapter 11 Solutions

Algebra and Trigonometry (MindTap Course List)

Ch. 11.1 - If a system of linear equations has infinitely...Ch. 11.1 - Write the augmented matrix of the following system...Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - 5-10 Dimension of a Matrix State the dimension of...Ch. 11.1 - Prob. 8E Ch. 11.1 - Prob. 9E Ch. 11.1 - Prob. 10E

Ch. 11.1 - Prob. 11E Ch. 11.1 - Prob. 12E Ch. 11.1 - 13-20 Form of a Matrix A matrix is given. a...Ch. 11.1 - Prob. 14E Ch. 11.1 - Prob. 15E Ch. 11.1 - Prob. 16E Ch. 11.1 - Prob. 17E Ch. 11.1 - Prob. 18E Ch. 11.1 - 13-20Form of a Matrix A matrix is given. a...Ch. 11.1 - Prob. 20E Ch. 11.1 - Prob. 21E Ch. 11.1 - Prob. 22E Ch. 11.1 - Prob. 23E Ch. 11.1 - Prob. 24E Ch. 11.1 - 25-28Back-Substitution A matrix is given in...Ch. 11.1 - Prob. 26E Ch. 11.1 - Prob. 27E Ch. 11.1 - Prob. 28E Ch. 11.1 - Prob. 29E Ch. 11.1 - Prob. 30E Ch. 11.1 - 29-38Linear Systems with One Solution The system...Ch. 11.1 - 29-38Linear Systems with One Solution The system...Ch. 11.1 - Prob. 33E Ch. 11.1 - Prob. 34E Ch. 11.1 - Prob. 35E Ch. 11.1 - Prob. 36E Ch. 11.1 - 29-38Linear Systems with One Solution The system...Ch. 11.1 - Prob. 38E Ch. 11.1 - Prob. 39E Ch. 11.1 - Prob. 40E Ch. 11.1 - Prob. 41E Ch. 11.1 - 39-48Dependent or Inconsistent Linear Systems...Ch. 11.1 - 39-48Dependent or Inconsistent Linear Systems...Ch. 11.1 - Prob. 44E Ch. 11.1 - Prob. 45E Ch. 11.1 - Prob. 46E Ch. 11.1 - Prob. 47E Ch. 11.1 - 39-48Dependent or Inconsistent Linear Systems...Ch. 11.1 - SKILLS 49-64 Solving a Linear SystemsSolve the...Ch. 11.1 - Prob. 50E Ch. 11.1 - Prob. 51E Ch. 11.1 - Prob. 52E Ch. 11.1 - Prob. 53E Ch. 11.1 - Prob. 54E Ch. 11.1 - SKILLS 49-64 Solving a Linear SystemsSolve the...Ch. 11.1 - Prob. 56E Ch. 11.1 - SKILLS 49-64 Solving a Linear SystemsSolve the...Ch. 11.1 - Prob. 58E Ch. 11.1 - Prob. 59E Ch. 11.1 - Prob. 60E Ch. 11.1 - SKILLS 49-64 Solving a Linear SystemsSolve the...Ch. 11.1 - SKILLS 49-64 Solving a Linear SystemsSolve the...Ch. 11.1 - Prob. 63E Ch. 11.1 - Prob. 64E Ch. 11.1 - Prob. 65E Ch. 11.1 - Prob. 66E Ch. 11.1 - SKILLS 65-68 Solving a Linear System Using a...Ch. 11.1 - Prob. 68E Ch. 11.1 - Prob. 69E Ch. 11.1 - Prob. 70E Ch. 11.1 - Prob. 71E Ch. 11.1 - APPLICATIONS Classroom UseA small school has 100...Ch. 11.1 - APPLICATIONS Manufacturing FurnitureA furniture...Ch. 11.1 - APPLICATIONS Traffic FlowA section of a citys...Ch. 11.1 - Prob. 75E Ch. 11.2 - Prob. 1E Ch. 11.2 - Prob. 2E Ch. 11.2 - Which of the following operations can we perform...Ch. 11.2 - Prob. 4E Ch. 11.2 - Prob. 5E Ch. 11.2 - Prob. 6E Ch. 11.2 - Prob. 7E Ch. 11.2 - Prob. 8E Ch. 11.2 - Prob. 9E Ch. 11.2 - Prob. 10E Ch. 11.2 - Prob. 11E Ch. 11.2 - Prob. 12E Ch. 11.2 - Prob. 13E Ch. 11.2 - Prob. 14E Ch. 11.2 - Prob. 15E Ch. 11.2 - Prob. 16E Ch. 11.2 - Prob. 17E Ch. 11.2 - Prob. 18E Ch. 11.2 - Prob. 19E Ch. 11.2 - Prob. 20E Ch. 11.2 - Prob. 21E Ch. 11.2 - Prob. 22E Ch. 11.2 - Prob. 23E Ch. 11.2 - Prob. 24E Ch. 11.2 - Prob. 25E Ch. 11.2 - Prob. 26E Ch. 11.2 - Prob. 27E Ch. 11.2 - Prob. 28E Ch. 11.2 - Prob. 29E Ch. 11.2 - Prob. 30E Ch. 11.2 - Prob. 31E Ch. 11.2 - Prob. 32E Ch. 11.2 - Prob. 33E Ch. 11.2 - Prob. 34E Ch. 11.2 - Prob. 35E Ch. 11.2 - Prob. 36E Ch. 11.2 - Prob. 37E Ch. 11.2 - Prob. 38E Ch. 11.2 - Prob. 39E Ch. 11.2 - Prob. 40E Ch. 11.2 - Prob. 41E Ch. 11.2 - Prob. 42E Ch. 11.2 - Prob. 43E Ch. 11.2 - Prob. 44E Ch. 11.2 - Prob. 45E Ch. 11.2 - Prob. 46E Ch. 11.2 - Prob. 47E Ch. 11.2 - Prob. 48E Ch. 11.2 - Prob. 49E Ch. 11.2 - Prob. 50E Ch. 11.2 - Prob. 51E Ch. 11.2 - Prob. 52E Ch. 11.2 - Prob. 53E Ch. 11.2 - Prob. 54E Ch. 11.2 - Prob. 55E Ch. 11.2 - APPLICATIONS Fact-Food Sales A small fast-food...Ch. 11.2 - Prob. 57E Ch. 11.2 - Prob. 58E Ch. 11.2 - Prob. 59E Ch. 11.2 - Digital Images A four-level gray scale is shown...Ch. 11.2 - Prob. 61E Ch. 11.2 - Prob. 62E Ch. 11.2 - Prob. 63E Ch. 11.2 - Prob. 64E Ch. 11.3 - Prob. 1E Ch. 11.3 - Prob. 2E Ch. 11.3 - Prob. 3E Ch. 11.3 - Prob. 4E Ch. 11.3 - Prob. 5E Ch. 11.3 - Prob. 6E Ch. 11.3 - Prob. 7E Ch. 11.3 - Prob. 8E Ch. 11.3 - Prob. 9E Ch. 11.3 - Prob. 10E Ch. 11.3 - Prob. 11E Ch. 11.3 - Prob. 12E Ch. 11.3 - Prob. 13E Ch. 11.3 - Prob. 14E Ch. 11.3 - Prob. 15E Ch. 11.3 - Prob. 16E Ch. 11.3 - Prob. 17E Ch. 11.3 - Prob. 18E Ch. 11.3 - Prob. 19E Ch. 11.3 - Prob. 20E Ch. 11.3 - Prob. 21E Ch. 11.3 - Prob. 22E Ch. 11.3 - Prob. 23E Ch. 11.3 - Prob. 24E Ch. 11.3 - Prob. 25E Ch. 11.3 - Prob. 26E Ch. 11.3 - Prob. 27E Ch. 11.3 - Prob. 28E Ch. 11.3 - Prob. 29E Ch. 11.3 - Prob. 30E Ch. 11.3 - Prob. 31E Ch. 11.3 - Prob. 32E Ch. 11.3 - Prob. 33E Ch. 11.3 - Prob. 34E Ch. 11.3 - Prob. 35E Ch. 11.3 - Prob. 36E Ch. 11.3 - Prob. 37E Ch. 11.3 - Prob. 38E Ch. 11.3 - Prob. 39E Ch. 11.3 - Prob. 40E Ch. 11.3 - Prob. 41E Ch. 11.3 - Prob. 42E Ch. 11.3 - Prob. 43E Ch. 11.3 - Prob. 44E Ch. 11.3 - Prob. 45E Ch. 11.3 - Prob. 46E Ch. 11.3 - Prob. 47E Ch. 11.3 - Prob. 48E Ch. 11.3 - Prob. 49E Ch. 11.3 - Prob. 50E Ch. 11.3 - Prob. 51E Ch. 11.3 - Prob. 52E Ch. 11.3 - Prob. 53E Ch. 11.3 - Prob. 54E Ch. 11.3 - Prob. 55E Ch. 11.3 - Prob. 56E Ch. 11.3 - Prob. 57E Ch. 11.3 - Prob. 58E Ch. 11.3 - Prob. 59E Ch. 11.3 - Prob. 60E Ch. 11.3 - Prob. 61E Ch. 11.3 - Prob. 62E Ch. 11.3 - Prob. 63E Ch. 11.3 - Prob. 64E Ch. 11.4 - Prob. 1E Ch. 11.4 - Prob. 2E Ch. 11.4 - Prob. 3E Ch. 11.4 - Prob. 4E Ch. 11.4 - 5-14Finding Determinants Find the determinant of...Ch. 11.4 - Prob. 6E Ch. 11.4 - Prob. 7E Ch. 11.4 - Prob. 8E Ch. 11.4 - Prob. 9E Ch. 11.4 - Prob. 10E Ch. 11.4 - Prob. 11E Ch. 11.4 - Prob. 12E Ch. 11.4 - Prob. 13E Ch. 11.4 - Prob. 14E Ch. 11.4 - Prob. 15E Ch. 11.4 - Prob. 16E Ch. 11.4 - Prob. 17E Ch. 11.4 - Prob. 18E Ch. 11.4 - Prob. 19E Ch. 11.4 - Prob. 20E Ch. 11.4 - Prob. 21E Ch. 11.4 - Prob. 22E Ch. 11.4 - Prob. 23E Ch. 11.4 - Prob. 24E Ch. 11.4 - Prob. 25E Ch. 11.4 - Prob. 26E Ch. 11.4 - Prob. 27E Ch. 11.4 - Prob. 28E Ch. 11.4 - Prob. 29E Ch. 11.4 - Prob. 30E Ch. 11.4 - Prob. 31E Ch. 11.4 - Prob. 32E Ch. 11.4 - Prob. 33E Ch. 11.4 - Prob. 34E Ch. 11.4 - Prob. 35E Ch. 11.4 - Prob. 36E Ch. 11.4 - Prob. 37E Ch. 11.4 - Prob. 38E Ch. 11.4 - Prob. 39E Ch. 11.4 - Prob. 40E Ch. 11.4 - Prob. 41E Ch. 11.4 - Prob. 42E Ch. 11.4 - Prob. 43E Ch. 11.4 - Prob. 44E Ch. 11.4 - Prob. 45E Ch. 11.4 - Prob. 46E Ch. 11.4 - Prob. 47E Ch. 11.4 - Prob. 48E Ch. 11.4 - Prob. 49E Ch. 11.4 - Prob. 50E Ch. 11.4 - Prob. 51E Ch. 11.4 - Prob. 52E Ch. 11.4 - Prob. 53E Ch. 11.4 - Prob. 54E Ch. 11.4 - Prob. 55E Ch. 11.4 - Prob. 56E Ch. 11.4 - Prob. 57E Ch. 11.4 - Prob. 58E Ch. 11.4 - Prob. 59E Ch. 11.4 - Prob. 60E Ch. 11.4 - Prob. 61E Ch. 11.4 - Prob. 62E Ch. 11.4 - Prob. 63E Ch. 11.4 - Prob. 64E Ch. 11.4 - Prob. 65E Ch. 11.4 - Prob. 66E Ch. 11.4 - Prob. 67E Ch. 11.4 - Prob. 68E Ch. 11.4 - Collinear Points and Determinants a If three...Ch. 11.4 - Prob. 70E Ch. 11.4 - Prob. 71E Ch. 11.4 - APPLICATIONS The Arch of a BridgeThe opening of a...Ch. 11.4 - Prob. 73E Ch. 11.4 - Prob. 74E Ch. 11.4 - Prob. 75E Ch. 11.4 - Prob. 76E Ch. 11.CR - Prob. 1CC Ch. 11.CR - What is the row-echelon form of a matrix? What is...Ch. 11.CR - Prob. 3CC Ch. 11.CR - Prob. 4CC Ch. 11.CR - Prob. 5CC Ch. 11.CR - Prob. 6CC Ch. 11.CR - Prob. 7CC Ch. 11.CR - Prob. 8CC Ch. 11.CR - Prob. 9CC Ch. 11.CR - Prob. 10CC Ch. 11.CR - Prob. 11CC Ch. 11.CR - Prob. 1E Ch. 11.CR - Prob. 2E Ch. 11.CR - Prob. 3E Ch. 11.CR - Matrices A matrix is given. a State the dimension...Ch. 11.CR - Prob. 5E Ch. 11.CR - Prob. 6E Ch. 11.CR - Prob. 7E Ch. 11.CR - Prob. 8E Ch. 11.CR - Prob. 9E Ch. 11.CR - Prob. 10E Ch. 11.CR - Prob. 11E Ch. 11.CR - Prob. 12E Ch. 11.CR - Prob. 13E Ch. 11.CR - Prob. 14E Ch. 11.CR - Prob. 15E Ch. 11.CR - Prob. 16E Ch. 11.CR - Prob. 17E Ch. 11.CR - Prob. 18E Ch. 11.CR - Prob. 19E Ch. 11.CR - Prob. 20E Ch. 11.CR - Prob. 21E Ch. 11.CR - Prob. 22E Ch. 11.CR - Prob. 23E Ch. 11.CR - Prob. 24E Ch. 11.CR - Prob. 25E Ch. 11.CR - Prob. 26E Ch. 11.CR - Prob. 27E Ch. 11.CR - Prob. 28E Ch. 11.CR - Prob. 29E Ch. 11.CR - Prob. 30E Ch. 11.CR - Prob. 31E Ch. 11.CR - Prob. 32E Ch. 11.CR - Prob. 33E Ch. 11.CR - Prob. 34E Ch. 11.CR - Prob. 35E Ch. 11.CR - Prob. 36E Ch. 11.CR - Prob. 37E Ch. 11.CR - Prob. 38E Ch. 11.CR - Prob. 39E Ch. 11.CR - Prob. 40E Ch. 11.CR - Prob. 41E Ch. 11.CR - Prob. 42E Ch. 11.CR - Prob. 43E Ch. 11.CR - Prob. 44E Ch. 11.CR - Prob. 45E Ch. 11.CR - Prob. 46E Ch. 11.CR - Prob. 47E Ch. 11.CR - Prob. 48E Ch. 11.CR - Prob. 49E Ch. 11.CR - Prob. 50E Ch. 11.CR - Prob. 51E Ch. 11.CR - Prob. 52E Ch. 11.CR - Prob. 53E Ch. 11.CR - Prob. 54E Ch. 11.CR - Prob. 55E Ch. 11.CR - Prob. 56E Ch. 11.CR - Prob. 57E Ch. 11.CR - Prob. 58E Ch. 11.CR - Prob. 59E Ch. 11.CR - 5360. Determinants and Inverse Matrices: Find the...Ch. 11.CR - Prob. 61E Ch. 11.CR - Prob. 62E Ch. 11.CR - Prob. 63E Ch. 11.CR - Prob. 64E Ch. 11.CR - Prob. 65E Ch. 11.CR - Prob. 66E Ch. 11.CR - 6770. Using Cramers Rule to solve a system: Solve...Ch. 11.CR - Prob. 68E Ch. 11.CR - Prob. 69E Ch. 11.CR - Prob. 70E Ch. 11.CR - Prob. 71E Ch. 11.CR - Prob. 72E Ch. 11.CR - Prob. 73E Ch. 11.CR - Prob. 74E Ch. 11.CT - Prob. 1CT Ch. 11.CT - Prob. 2CT Ch. 11.CT - Prob. 3CT Ch. 11.CT - Prob. 4CT Ch. 11.CT - Prob. 5CT Ch. 11.CT - Prob. 6CT Ch. 11.CT - Prob. 7CT Ch. 11.CT - Prob. 8CT Ch. 11.CT - Prob. 9CT Ch. 11.CT - Prob. 10CT Ch. 11.CT - Prob. 11CT Ch. 11.CT - Prob. 12CT Ch. 11.CT - Prob. 13CT Ch. 11.CT - Prob. 14CT Ch. 11.CT - Prob. 15CT Ch. 11.CT - Prob. 16CT Ch. 11.CT - Prob. 17CT Ch. 11.CT - TEST Only one of the following matrix has an...Ch. 11.CT - Prob. 19CT Ch. 11.CT - Prob. 20CT Ch. 11.FOM - The gray square in Table 1 has the following...Ch. 11.FOM - Verify that multiplication by the given matrix has...Ch. 11.FOM - Let T=[11.501] aWhat effect does T have on the...Ch. 11.FOM - a Let T=[3001]. What effect does T have on the...Ch. 11.FOM - The figure shows three outline versions of the...Ch. 11.FOM - Here is a data matrix for a line drawing:...

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