A clothing manufacturer has factories in Atlanta, Chicago and New York. Sales (in thousands) during the first quarter are summarized in the matrix below. Atlanta                    Chicago                                    New York Coats                        40                              63                              18 Shirts                       85                              56                              42 Pants                        6                                 18                              8 Ties                            7                                 10                              8 During this period, the selling price of a coat was $200, a shirt $40, a pair of pants $50, and a tie $30. Use matrix multiplication to find the total revenue received by each factory.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 19EQ: A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two...
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A clothing manufacturer has factories in Atlanta, Chicago and New York. Sales (in thousands) during the first quarter are summarized in the matrix below.

Atlanta                    Chicago                                    New York

Coats                        40                              63                              18

Shirts                       85                              56                              42

Pants                        6                                 18                              8

Ties                            7                                 10                              8

During this period, the selling price of a coat was $200, a shirt $40, a pair of pants $50, and a tie $30. Use matrix multiplication to find the total revenue received by each factory.

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