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 stan- dard, 15 deluxe, and 16 super-deluxe for a $1204 commis- sion. 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 stan- dard, deluxe, and super-deluxe, respectively. Translate the given information into a system of equations in x, y, and :. (b) Express the system of equations you found in part (a) as a matrix equation of the form AX = B. (c) Find the inverse of the coefficient matrix A and use it lo solve the matrix equation in part (b). How much com- mission does the saleswoman earn on each model of cell phone?

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 stan- dard, 15 deluxe, and 16 super-deluxe for a $1204 commis- sion. 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 stan- dard, deluxe, and super-deluxe, respectively. Translate the given information into a system of equations in x, y, and :. (b) Express the system of equations you found in part (a) as a matrix equation of the form AX = B. (c) Find the inverse of the coefficient matrix A and use it lo solve the matrix equation in part (b). How much com- mission does the saleswoman earn on each model of cell phone?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section6.3: Inverses Of Matrices And Matrix Equations

Problem 63E: Sales Commissions A saleswoman works at a kiosk that offers three different models of cell phones:...

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