A firm manufactures three products, P1, P2 and P3, which it sells to two customers, C1 and C2. The number of items of each product that are sold to these customers is given by

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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A firm manufactures three products, P1, P2 and P3, which it sells to two customers, C1 and C2.
The number of items of each product that are sold to these customers is given by
Р1 P2 Р3
C1 [6
A =
C2 12
7
9
1
1
The firm charges both customers the same price for each product according to
Р2 Р3
B = [100 500 200]"
P1
To make each item of the type P1, P2 and P3, the firm uses four raw materials, R1, R2, R3 and
R4. The number of tons required per item is given by
R1 R2
Р1 [1
C = P2|1
R3 R4
1
1
2
1
P3 Lo
1
1
The cost per ton of raw materials is
R1 R2 R3 R4
D = [20 10 15 15]"
In addition, let E = [1
1]
Find the following matrix products and give an interpretation of each one.
(a) AB
(b) AC
(c) CD
(d) ACD
(е) EАB
(f) EACD
(g) EAB-EACD
Transcribed Image Text:A firm manufactures three products, P1, P2 and P3, which it sells to two customers, C1 and C2. The number of items of each product that are sold to these customers is given by Р1 P2 Р3 C1 [6 A = C2 12 7 9 1 1 The firm charges both customers the same price for each product according to Р2 Р3 B = [100 500 200]" P1 To make each item of the type P1, P2 and P3, the firm uses four raw materials, R1, R2, R3 and R4. The number of tons required per item is given by R1 R2 Р1 [1 C = P2|1 R3 R4 1 1 2 1 P3 Lo 1 1 The cost per ton of raw materials is R1 R2 R3 R4 D = [20 10 15 15]" In addition, let E = [1 1] Find the following matrix products and give an interpretation of each one. (a) AB (b) AC (c) CD (d) ACD (е) EАB (f) EACD (g) EAB-EACD
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