A corporation has three factories that manufacture acoustic guitars and electric guitars. The production levels are represented by $ A $.\[ A = \begin{pmatrix}70 & 50 & 25 \\35 & 100 & 70 \end{pmatrix} \]- Factory $ A $, $ B $, and $ C $- Acoustic and Electric Guitar type### (a) Interpret the value of $ a_{22} $:Entry $ a_{22} $ indicates that factory $ B $ produces 100 electric guitars.### (b) How could you find the production levels when production increases by 40%?To determine the production levels, multiply matrix $ A $ by the scalar multiple $ 1.40 $.\[ 1.40 \times A = 1.40 \times \begin{pmatrix}70 & 50 & 25 \\35 & 100 & 70 \end{pmatrix} \]### (c) Each acoustic guitar sells for $60 and each electric guitar sells for $140. How could you use matrices to find the total sales value of the guitars produced at each factory?To find the total sales value of the guitars produced at each factory, compute the product $ BA $, where $ B $ is a matrix with the sale prices.\[ B = \begin{pmatrix}60 & 140 \end{pmatrix} \]\[ BA = \begin{pmatrix}60 & 140 \end{pmatrix} \times \begin{pmatrix}70 & 50 & 25 \\35 & 100 & 70 \end{pmatrix} \]

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A corporation has three factories that manufacture acoustic guitars and electric guitars. The production levels are represented by A. Factory A B с 70 50 25 Acoustic A = Guitar type 35 100 70 Electric f (a) Interpret the value of a 22. Entry a22 indicates that factory B ✔produces 35 electric guitars. (b) How could you find the production levels when production increases by 40%? x To determine the production levels, multiply ✔✔✔matrix A by the scalar multiple 40 (c) Each acoustic guitar sells for $60 and each electric guitar sells for $140. How could you use matrices to find the total sales value of the guitars produced at each factory? To find the total sales value of the guitars produced at each factory, compute the product BA, where B is a matrix with the sale prices. B = 11

A corporation has three factories that manufacture acoustic guitars and electric guitars. The production levels are represented by A. Factory A B с 70 50 25 Acoustic A = Guitar type 35 100 70 Electric f (a) Interpret the value of a 22. Entry a22 indicates that factory B ✔produces 35 electric guitars. (b) How could you find the production levels when production increases by 40%? x To determine the production levels, multiply ✔✔✔matrix A by the scalar multiple 40 (c) Each acoustic guitar sells for $60 and each electric guitar sells for $140. How could you use matrices to find the total sales value of the guitars produced at each factory? To find the total sales value of the guitars produced at each factory, compute the product BA, where B is a matrix with the sale prices. B = 11

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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