Inventory A certain 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 2,000 5,000 7,000 Los Angeles 2,000 6,000 3,000 Suppose its sales in January were as follows: 600 hardcover books, 1,200 softcover books, and 2,000 plastic books sold in San Francisco, and 400 hardcover, 300 softcover, and 400 plastic books sold in Los Angeles. Write the given inventory table as a 2 ✕ 3 matrix. Write the given sales figures as a similar matrix. Compute the inventory remaining in each store at the end of January.
Inventory A certain 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 2,000 5,000 7,000 Los Angeles 2,000 6,000 3,000 Suppose its sales in January were as follows: 600 hardcover books, 1,200 softcover books, and 2,000 plastic books sold in San Francisco, and 400 hardcover, 300 softcover, and 400 plastic books sold in Los Angeles. Write the given inventory table as a 2 ✕ 3 matrix. Write the given sales figures as a similar matrix. Compute the inventory remaining in each store at the end of January.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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Inventory A certain 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 | 2,000 | 5,000 | 7,000 |
| Los Angeles | 2,000 | 6,000 | 3,000 |
Suppose its sales in January were as follows: 600 hardcover books, 1,200 softcover books, and 2,000 plastic books sold in San Francisco, and 400 hardcover, 300 softcover, and 400 plastic books sold in Los Angeles.
Write the given inventory table as a 2 ✕ 3 matrix.
Write the given sales figures as a similar matrix.
Compute the inventory remaining in each store at the end of January.
Expert Solution
Step 1
The given information in the table can written in the form of inventory matrix is .
Therefore, the inventory matrix is .
And also given that, sales in January were as follows: 600 hardcover books, 1,200 softcover books, and 2,000 plastic books sold in San Francisco, and 400 hardcover, 300 softcover, and 400 plastic books sold in Los Angeles.
Therefore, the sales matrix is .
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