4. Reed Arena has 3 main concessions stands. At the A&M basketball game the other night, Matrix A shows how many of 3 popular purchases were made during the first thirty minutes of the game. Since each of these items come in sizes Large, Medium, and Small, Matrix B shows how much each size for each item cost. North South East Large Medium Small Popcorn 30 17 24 Popcorn 6.25 5.50 4.75 A = Candy 25 20 32 B = Candy 5 4 Drink 65 38 75 Drink 5.75 4.50 (a) How should these matrices be multiplied such that the profit makes sense? (b) Write the profit matrix below, labeling the rows and columns appropriately.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter3: Matrices
Section3.7: Applications
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How do I multiply and solve the following matrices?
4. Reed Arena has 3 main concessions stands. At the A&M basketball game the other night, Matrix A shows
how many of 3 popular purchases were made during the first thirty minutes of the game. Since each of these
items come in sizes Large, Medium, and Small, Matrix B shows how much each size for each item cost.
North
South
East
Large
Medium
Small
Popcorn 30
17
24
Popcorn 6.25
5.50
4.75
A =
Candy
25
20
32
B =
Candy 5
4
3
Drink
65
38
75
Drink
5.75
4.50
(a) How should these matrices be multiplied such that the profit makes sense?
(b) Write the profit matrix below,
labeling the rows and columns appropriately.
(c) Explain what the entry in Row 2, Column 3 of the product matrix means exactly.
32,504
OCT
W
Transcribed Image Text:4. Reed Arena has 3 main concessions stands. At the A&M basketball game the other night, Matrix A shows how many of 3 popular purchases were made during the first thirty minutes of the game. Since each of these items come in sizes Large, Medium, and Small, Matrix B shows how much each size for each item cost. North South East Large Medium Small Popcorn 30 17 24 Popcorn 6.25 5.50 4.75 A = Candy 25 20 32 B = Candy 5 4 3 Drink 65 38 75 Drink 5.75 4.50 (a) How should these matrices be multiplied such that the profit makes sense? (b) Write the profit matrix below, labeling the rows and columns appropriately. (c) Explain what the entry in Row 2, Column 3 of the product matrix means exactly. 32,504 OCT W
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