Model II II IV CA 21 16 13 11 A = AR 15 12 6. 4 NV 14 17 10 8 e estimated profits (in thousands of dollars) for each model in California, Arizona, and Nevada are represented by the matrices B, C, and D, respectively. 1 [60 I [45] 1 [40 II B = 70 C = II 55 D III| 70 II 45 III 90 III| 60 IV [120 IV [90 IV [80 ) Let E = 100 and find (EA)B. --EEE 21 16 13 11 (EA)B = 15 12 6 4 14 17 10 aF-[010]a ) Let F =01o and find (FA)C. 21 16 13 11 (FA)C = 15 12 6 4 14 17 10 8

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 19EQ: A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two...
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I've been stuck on this problem all night and need help solving it please. Thanks so much!

Bond Brothers, a real estate developer, builds single-family houses in California, Arizona, and Nevada. The proposed number of units (in hundreds) of each model to be built in each state is given by the matrix A.
Model
II
III
IV
CA 21
16
13
11
A = AR
15
12
4
NV [14 17
10
8
The estimated profits (in thousands of dollars) for each model in California, Arizona, and Nevada are represented by the matrices B, C, and D, respectively.
I
60
I [45]
40
II
B =
70
C =
II
55
II
45
III 90
III| 70
III | 60
IV 120
IV [90
IV 80
(a) Let E = 100 and find (EA)B.
21
16
13
11
(EA)B =
15
12
6
4
14
17
10
8
(b) Let F=010 and find (FA)C.
21
16
13
11
(FA)C =
15
12
6
4
14
17
10
8
|
Transcribed Image Text:Bond Brothers, a real estate developer, builds single-family houses in California, Arizona, and Nevada. The proposed number of units (in hundreds) of each model to be built in each state is given by the matrix A. Model II III IV CA 21 16 13 11 A = AR 15 12 4 NV [14 17 10 8 The estimated profits (in thousands of dollars) for each model in California, Arizona, and Nevada are represented by the matrices B, C, and D, respectively. I 60 I [45] 40 II B = 70 C = II 55 II 45 III 90 III| 70 III | 60 IV 120 IV [90 IV 80 (a) Let E = 100 and find (EA)B. 21 16 13 11 (EA)B = 15 12 6 4 14 17 10 8 (b) Let F=010 and find (FA)C. 21 16 13 11 (FA)C = 15 12 6 4 14 17 10 8 |
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