Supply and demand. At a price of $9 .00 per bushel, the supply of soybeans is 3,600 million bushels and the demand is 4,000 million bushels. At a price of $ 9.50 per bushel, the supply is 4,100 million bushels and the demand is 3,500 million bushels. (A) Find a price-supply equation of the form p = m x + b . (B) Find a price-demand equation of the form p = m x + b . (C) Find the equilibrium point. (D) Graph the price-supply equation, price-demand equation, and equilibrium point in the same coordinate system .
Supply and demand. At a price of $9 .00 per bushel, the supply of soybeans is 3,600 million bushels and the demand is 4,000 million bushels. At a price of $ 9.50 per bushel, the supply is 4,100 million bushels and the demand is 3,500 million bushels. (A) Find a price-supply equation of the form p = m x + b . (B) Find a price-demand equation of the form p = m x + b . (C) Find the equilibrium point. (D) Graph the price-supply equation, price-demand equation, and equilibrium point in the same coordinate system .
Supply and demand. At a price of
$9
.00
per bushel, the supply of soybeans is 3,600 million bushels and the demand is 4,000 million bushels. At a price of
$
9.50
per bushel, the supply is 4,100 million bushels and the demand is 3,500 million bushels.
(A) Find a price-supply equation of the form
p
=
m
x
+
b
.
(B) Find a price-demand equation of the form
p
=
m
x
+
b
.
(C) Find the equilibrium point.
(D) Graph the price-supply equation, price-demand equation, and equilibrium point in the
same coordinate system.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
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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
О
$6,984.
$11,859.
$22,919.
○ $9,469,
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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 1 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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