Explanation Given: The number of centerpieces to be created is 10 . Number of flower in one centerpiece is 12 . Cost of one rose is $ 2.50 . Cost of one lily is $ 4 . Cost of one irises is $ 2 . Total budget of the customer is $ 300 . Approach: If A is an invertible matrix, then the system of linear equations represented by A X = B has a unique solution given by X = A − 1 B Calculation: Let the number of roses be r , the number of lilies be l and the number of irises be i . The equation representing the total number of flowers is, r + l + i = ( 10 × 12 ) r + l + i = 120 The equation representing the total cost of flower is, 2.5 r + 4 l + 2 i = 300 Also, the number of roses is twice the number of irises and lilies combined. r = 2 ( l + i ) r = 2 l + 2 i − r + 2 l + 2 i = 0 The system of linear equation associated with the situation is, 2.5 r + 4 l + 2 i = 300 − r + 2 l + 2 i = 0 r + l + i = 120 Write the system of equation in the form A X = B To determine (b) To find: The number of flowers of each type that the florist can use to create the required number of center pieces.

Bundle: Precalculus, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Precalculus, 10th Edition, Single-Term

10th Edition

ISBN: 9781337605090

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 8.3, Problem 65E

To determine

(a)

To find:

The system of linear equations that represents the situation and the matrix equation that correspond to the system.

To determine

(b)

To find:

The number of flowers of each type that the florist can use to create the required number of center pieces.

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Chapter 8.3, Problem 64E

Chapter 8.3, Problem 66E

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Bundle: Precalculus, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Precalculus, 10th Edition, Single-Term

Ch. 8.1 - Prob. 1CP Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Prob. 5CP Ch. 8.1 - Prob. 6CP Ch. 8.1 - Prob. 7CP Ch. 8.1 - Prob. 8CP Ch. 8.1 - Prob. 9CP Ch. 8.1 - Prob. 1E

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(a) To find: The system of linear equations that represents the situation and the matrix equation that correspond to the system.

Solution Summary: The author explains the system of linear equations that represents the situation and the matrix equation that corresponds to it.