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Check attached files. This is incomplete 19) A company manufactures two products. For $1.00 worth of product A, the company spends $0.40 on

materials, $0.25 on labor, and $0.10 on overhead. For $1.00 worth of product B, the company spends $0.50 on

materials, $0.20 on labor, and $0.15 on overhead. Let

a =

0.40

0.25

0.10

and b =

0.50

0.20

0.15

3 attachmentsSlide 1 of 3attachment_1attachment_1attachment_2attachment_2attachment_3attachment_3

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Display the indicated vector(s) on an xy-graph.

20) Let u= and v= Display the vectors u, v, and u +y on the same axes.

10

у

10 X

-10

Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon form as indicated.

16) Find the echelon form of the given matrix.

1 4 -2 3

-3 -11 9-5

2 2 5 -1

4

Solve the problem.

17) Find the general solution of the simple homogeneous “system” below, which consists of a single linear

equation. Give your answer as a linear combination of vectors. Let x2 and x3 be free variables.

2×1 – 16×2 +10×3 = 0

Find the matrix product AB, if it is defined.

-1 32

18) A=

B=

0 -3 1

Solve the problem.

19) A company manufactures two products. For $1.00 worth of product A, the company spends $0.40 on

materials, $0.25 on labor, and $0.10 on overhead. For $1.00 worth of product B, the company spends $0.50 on

materials, $0.20 on labor, and $0.15 on overhead. Let

a=

0.40

0.25

0.10

0.50

and b= 0.20

0.15

Then a and b represent the “costs per dollar of income” for each product. Suppose that the company

manufactures x dollars of product A and y dollars of product B, and that its total costs for materials are $260,

its total costs for labor are $120, and its total costs for overhead are $70. Determine x and y, the quantities of

each product produced.

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Tags:

linear algebra

Row echelon form

Graph vectors

First number equation

Commination of vectors

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