Problems 21-30 refer to the table below of the six basic solutions to the e-system 2 x 1 + 3 x 2 + s 1 = 24 4 x 1 + 3 x 2 + s 2 = 36 x 1 x 2 s 1 s 2 A 0 0 24 36 B 0 8 0 12 C 0 12 − 12 0 D 12 0 0 − 12 E 9 0 6 0 F 6 4 0 0 Describe geometrically the set of all points in the plane such that s 1 > 0 .
Problems 21-30 refer to the table below of the six basic solutions to the e-system 2 x 1 + 3 x 2 + s 1 = 24 4 x 1 + 3 x 2 + s 2 = 36 x 1 x 2 s 1 s 2 A 0 0 24 36 B 0 8 0 12 C 0 12 − 12 0 D 12 0 0 − 12 E 9 0 6 0 F 6 4 0 0 Describe geometrically the set of all points in the plane such that s 1 > 0 .
Solution Summary: The author calculates the set of all points in the plane geometrically if s_1>0 is all the points below the line.
12:25 AM Sun Dec 22
uestion 6- Week 8: QuX
Assume that a company X +
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Week 8: Quiz i
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Assume that a company is considering purchasing a machine for $50,000 that will have a five-year useful life and a $5,000 salvage value. The
machine will lower operating costs by $17,000 per year. The company's required rate of return is 15%. The net present value of this investment
is closest to:
Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using the tables provided.
00:33:45
Multiple Choice
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$6,984.
$11,859.
$22,919.
○ $9,469,
Mc
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7. [10 marks]
Let G
=
(V,E) be a 3-connected graph. We prove that for every x, y, z Є V, there is a
cycle in G on which x, y, and z all lie.
(a) First prove that there are two internally disjoint xy-paths Po and P₁.
(b) If z is on either Po or P₁, then combining Po and P₁ produces a cycle on which
x, y, and z all lie. So assume that z is not on Po and not on P₁. Now prove that
there are three paths Qo, Q1, and Q2 such that:
⚫each Qi starts at z;
• each Qi ends at a vertex w; that is on Po or on P₁, where wo, w₁, and w₂ are
distinct;
the paths Qo, Q1, Q2 are disjoint from each other (except at the start vertex
2) and are disjoint from the paths Po and P₁ (except at the end vertices wo,
W1, and w₂).
(c) Use paths Po, P₁, Qo, Q1, and Q2 to prove that there is a cycle on which x, y, and
z all lie. (To do this, notice that two of the w; must be on the same Pj.)
Chapter 6 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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