Suppose that April's Pet Supply has three stores in cities 1, 2, and 3. Ben's Pet Mart has three stores in in cities 1, 2, and 3. Each shop sells the same type of dog crates in sizes 1 (small), 2 (medium), 3 (large), and 4 (extra large). April's and Ben's inventory in each city is stored in the tables below. Size 1 Size 2 Size 3 Size 4 City 1 3 April's Pet Supply City 2 4 1 0 5 2 4 0 City 3 1 9 2 1 Size 1 Size 2 Size 3 Size 4 City 1 2 0 4 0 Ben's Pet Mart City 2 3 2 1 0 City 3 4 4 3 2 1. Create matrices A and B representing the values in the tables above such that the rows represent the different options and the columns represent the different outcomes of each option. 2. Suppose that April and Ben merge their inventories. Find a matrix that represents their combined inventory in each of the three cities. 3. Calculate B-A. What does B - A represent?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose that April's Pet Supply has three stores in cities 1, 2, and 3. Ben's Pet Mart has three
stores in in cities 1, 2, and 3. Each shop sells the same type of dog crates in sizes 1 (small), 2
(medium), 3 (large), and 4 (extra large).
April's and Ben's inventory in each city is stored in the tables below.
Size 1
Size 2
Size 3
Size 4
City 1
3
April's Pet Supply
City 2
4
1
0
5
2
4
0
City 3
1
9
2
1
Size 1
Size 2
Size 3
Size 4
City 1
2
0
4
0
Ben's Pet Mart
City 2
3
2
1
0
City 3
4
4
3
2
1. Create matrices A and B representing the values in the tables above such that the rows
represent the different options and the columns represent the different outcomes of each
option.
2. Suppose that April and Ben merge their inventories. Find a matrix that represents their
combined inventory in each of the three cities.
3. Calculate B-A. What does B - A represent?
Transcribed Image Text:Suppose that April's Pet Supply has three stores in cities 1, 2, and 3. Ben's Pet Mart has three stores in in cities 1, 2, and 3. Each shop sells the same type of dog crates in sizes 1 (small), 2 (medium), 3 (large), and 4 (extra large). April's and Ben's inventory in each city is stored in the tables below. Size 1 Size 2 Size 3 Size 4 City 1 3 April's Pet Supply City 2 4 1 0 5 2 4 0 City 3 1 9 2 1 Size 1 Size 2 Size 3 Size 4 City 1 2 0 4 0 Ben's Pet Mart City 2 3 2 1 0 City 3 4 4 3 2 1. Create matrices A and B representing the values in the tables above such that the rows represent the different options and the columns represent the different outcomes of each option. 2. Suppose that April and Ben merge their inventories. Find a matrix that represents their combined inventory in each of the three cities. 3. Calculate B-A. What does B - A represent?
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