Answered: A certain bookstore chain has two…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Inventory A certain bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of books: hardcover, softcover, and plastic (for infants). At the beginning of January, the central computer showed the following books in stock.

	Hard	Soft	Plastic
San Francisco	2,000	2,000	5,000
Los Angeles	2,000	5,000	2,000

Its sales in January were as follows: 700 hardcover books, 1,300 softcover books, and 2,000 plastic books sold in San Francisco, and 300 hardcover, 300 softcover, and 500 plastic books sold in Los Angeles. The bookstore chain actually maintained the same sales figures for the first 6 months of the year. Each month, the chain restocked the stores from its warehouse by shipping 600 hardcover, 1,500 softcover, and 1,500 plastic books to San Francisco and 600 hardcover, 600 softcover, and 600 plastic books to Los Angeles.

(a)

Use matrix operations to determine the total sales over the 6 months, broken down by store and type of book.

	Hard	Soft	Plastic
San Francisco
Los Angeles

(b)

Use matrix operations to determine the inventory in each store at the end of June.

	Hard	Soft	Plastic
San Francisco
Los Angeles

Expert Solution

Step 1

Given,

A certain bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of books: hardcover, softcover, and plastic (for infants). At the beginning of January, the central computer showed the following books in stock.