The Left Coast 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 computer showed the following books in stock: Hard Soft Plastic San Francisco 1000 2000 5000 Los Angeles 1000 5000 2000 Suppose in January, its sales were as follows: 700 hardcover books, 1300 softcover books, and 2000 plastic books sold in San Francisco and 400 hardcover, 300 softcover, and 500 plastic books in Los Angeles. 1. Create a matrix to show the sales figures. 2. Tell the dimensions of the matrix. 3. Using matrix operations, compute the inventory remaining in each store at the end of January.
The Left Coast 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 computer showed the following books in stock: Hard Soft Plastic San Francisco 1000 2000 5000 Los Angeles 1000 5000 2000 Suppose in January, its sales were as follows: 700 hardcover books, 1300 softcover books, and 2000 plastic books sold in San Francisco and 400 hardcover, 300 softcover, and 500 plastic books in Los Angeles. 1. Create a matrix to show the sales figures. 2. Tell the dimensions of the matrix. 3. Using matrix operations, compute the inventory remaining in each store at the end of January.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Matrices Task
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The Left Coast 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 computer showed the following books in
stock:
Hard
Soft
Plastic
San Francisco
1000
2000
5000
Los Angeles
1000
5000
2000
Suppose in January, its sales were as follows: 700 hardcover books, 1300 softcover
books, and 2000 plastic books sold in San Francisco and 400 hardcover, 300
softcover, and 500 plastic books in Los Angeles.
1. Create a matrix to show the sales figures.
2. Tell the dimensions of the matrix.
3. Using matrix operations, compute the inventory remaining in each store at
the end of January.
Imagine if the store maintained the exact same sales for 6 months. Each month, the
store restocked the stores from its warehouse by shipping 600 hardcover, 1500
softcover, and 1500 plastic books to San Francisco and 500 hardcover, 500
softcover, and 500 plastic books to Los Angeles.
4. Using scalar multiplication, determine the total amount of sales for the 6
months at each store broken down by store and type of book.
5. Create a matrix and use matrix operations in order to determine by the end
of June (6months) what the inventory would be at each store, broken down
by store and type of book."
Transcribed Image Text:Name
Date
Matrices Task
Show all your work!
The Left Coast 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 computer showed the following books in
stock:
Hard
Soft
Plastic
San Francisco
1000
2000
5000
Los Angeles
1000
5000
2000
Suppose in January, its sales were as follows: 700 hardcover books, 1300 softcover
books, and 2000 plastic books sold in San Francisco and 400 hardcover, 300
softcover, and 500 plastic books in Los Angeles.
1. Create a matrix to show the sales figures.
2. Tell the dimensions of the matrix.
3. Using matrix operations, compute the inventory remaining in each store at
the end of January.
Imagine if the store maintained the exact same sales for 6 months. Each month, the
store restocked the stores from its warehouse by shipping 600 hardcover, 1500
softcover, and 1500 plastic books to San Francisco and 500 hardcover, 500
softcover, and 500 plastic books to Los Angeles.
4. Using scalar multiplication, determine the total amount of sales for the 6
months at each store broken down by store and type of book.
5. Create a matrix and use matrix operations in order to determine by the end
of June (6months) what the inventory would be at each store, broken down
by store and type of book.
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