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: 600 hardcover books, 1,200 softcover books, and 2,000 plastic books sold in San Francisco, and 300 hardcover, 300 softcover, and 400 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 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 500 hardcover, 500 softcover, and 500 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.
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: 600 hardcover books, 1,200 softcover books, and 2,000 plastic books sold in San Francisco, and 300 hardcover, 300 softcover, and 400 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 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 500 hardcover, 500 softcover, and 500 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.
Chapter7: Matrices And Determinants
Section: Chapter Questions
Problem 62RE
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Transcribed Image Text: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: 600 hardcover books, 1,200 softcover books, and 2,000 plastic books sold in San Francisco, and 300
hardcover, 300 softcover, and 400 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 500 hardcover, 1,400
softcover, and 1,400 plastic books to San Francisco and 500 hardcover, 500 softcover, and 500 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.
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Given a bookstore chain that has two stores, one is San Francisco and one in Los Angeles.
VIEWWe begin with representing the sales in the month of January in matrix form.
VIEWNow, use matrix operation to determine the inventory in each store at the end of June.
VIEWNext, to get the inventory in each store at the end of June.
VIEWAnswer:
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