INVENTORY 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 Soft Plastic San Francisco 1,000 2,000 5,000 Los Angeles 1,000 5,000 2,000 Suppose its sales in January were as follows: 700 hardcover books, 1,300 softcover books, and 2,000 plastic books sold in San Francisco, and 400 hardcover, 300 softcover, and 500 plastic books sold in Los Angeles. Write these sales figures in the form of a matrix, and then show how matrix algebra can be used to compute the inventory remaining in each store at the end of January.

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Chapter1: Functions And Models
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39. INVENTORY 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
Soft
Plastic
San Francisco
1,000
2,000
5,000
Los Angeles
1,000
5,000
2,000
Suppose its sales in January were as follows: 700 hardcover books, 1,300
softcover books, and 2,000 plastic books sold in San Francisco, and 400
hardcover, 300 softcover, and 500 plastic books sold in Los Angeles. Write these
sales figures in the form of a matrix, and then show how matrix algebra can be
used to compute the inventory remaining in each store at the end of January.
ANSWER !
Transcribed Image Text:39. INVENTORY 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 Soft Plastic San Francisco 1,000 2,000 5,000 Los Angeles 1,000 5,000 2,000 Suppose its sales in January were as follows: 700 hardcover books, 1,300 softcover books, and 2,000 plastic books sold in San Francisco, and 400 hardcover, 300 softcover, and 500 plastic books sold in Los Angeles. Write these sales figures in the form of a matrix, and then show how matrix algebra can be used to compute the inventory remaining in each store at the end of January. ANSWER !
Expert Solution
Step 1

Given: Left Coast bookstore chain has two stores, one from San Francisco and another from Los Angeles. It stocks three kinds of book hardcover, softcover, and plastic.

At beginning of the January, the books are in stock are,

  Hardcover Softcover plastic
San Francisco 1000 2000 5000
Los Angeles 1000 5000 2000

From Given we get matrix for Books in stock is,

A=100020005000100050002000 

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