College Algebra
7th Edition
ISBN: 9781305115545
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
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Chapter 6.3, Problem 63E
Sales Commissions A saleswoman works at a kiosk that offers three different models of cell phones: standard with 16 GB capacity, deluxe with 32 GB capacity, and super deluxe with 64 GB capacity. For each phone that she sells, she earns a commission based on the cell phone model. One week she sells 9 standard, 11 deluxe, and 8 super-deluxe and makes $740 in commission. The next week she sells 13 standard, 15 deluxe, and 16 super-deluxe for a $1204 commission. The third week she sells 8 standard, 7 deluxe, and 14 super-deluxe, earning $828 in commission.
(a) Let x, y, and z represent the commission she earns on standard, deluxe, and super-deluxe, respectively. Translate the given information into a system of equations in x, y, and z.
(b) Express the system of equations you found in part (a) as a matrix equation of the form
(c) Find the inverse of the coefficient matrix A and use it to solve the matrix equation in part (b). How much commission does the saleswoman earn on each model of cell phone?
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Chapter 6 Solutions
College Algebra
Ch. 6.1 - If a system of linear equations has infinitely...Ch. 6.1 - Write the augmented matrix of the following system...Ch. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - Prob. 8ECh. 6.1 - Dimension of a Matrix State the dimension of the...Ch. 6.1 - Prob. 10E
Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Prob. 13ECh. 6.1 - Prob. 14ECh. 6.1 - Prob. 15ECh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Prob. 21ECh. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Linear System with One Solution The system of...Ch. 6.1 - Linear System with One Solution The system of...Ch. 6.1 - Linear System with One Solution The system of...Ch. 6.1 - Linear System with One Solution The system of...Ch. 6.1 - Linear System with One Solution The system of...Ch. 6.1 - Linear System with One Solution The system of...Ch. 6.1 - Linear System with One Solution The system of...Ch. 6.1 - Linear System with One Solution The system of...Ch. 6.1 - Linear System with One Solution The system of...Ch. 6.1 - Linear System with One Solution The system of...Ch. 6.1 - Dependent or Inconsistent Linear Systems...Ch. 6.1 - Dependent or Inconsistent Linear Systems...Ch. 6.1 - 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