2. The Left Coast Bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of book: hardcover, softcover and plastic (for infants). At the beginning of January, the central computer showed the following books in stock: Hard 1,700 2,600 Soft San Francisco Los Angeles Plastic 1,100 | 2,200 3,300 1,400 Suppose its sales in January were as follows: 500 hardcover books, 1200 softcover books, and 400 plastic books sold in San Francisco, and 1200 hardcover, 1400 softcover and 1700 plastic books sold in Los Angeles. a. Write these sales figures in the form of a matrix, and then show matrix algebra can be used to compute the inventory remaining in each store at the end of January. b. Suppose hardcover books sell for $25 each, softcover books sell for $12 each, and plastic books sell for $7 each. Write a column matrix with the price data and show how matrix multiplication (using the sales and price data matrices) may be used to compute the total revenue at the two stores.

2. The Left Coast Bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of book: hardcover, softcover and plastic (for infants). At the beginning of January, the central computer showed the following books in stock: Hard 1,700 2,600 Soft San Francisco Los Angeles Plastic 1,100 | 2,200 3,300 1,400 Suppose its sales in January were as follows: 500 hardcover books, 1200 softcover books, and 400 plastic books sold in San Francisco, and 1200 hardcover, 1400 softcover and 1700 plastic books sold in Los Angeles. a. Write these sales figures in the form of a matrix, and then show matrix algebra can be used to compute the inventory remaining in each store at the end of January. b. Suppose hardcover books sell for $25 each, softcover books sell for $12 each, and plastic books sell for $7 each. Write a column matrix with the price data and show how matrix multiplication (using the sales and price data matrices) may be used to compute the total revenue at the two stores.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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