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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 20EQ: Referring to Exercise 19, suppose that the unit cost of distributing the products to stores is the...
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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
(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 =
41
Transcribed Image Text: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 (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 = 41
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