Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Textbook Question
Chapter 21.I, Problem 2TIE
Use Exhibits 21-1 and 21-2 to answer the following questions.
a. In which month was the price of apples lowest?
b. In which month was the price of apples higher—July or December?
c. How much lower was the price of apples in November compared with August?
d. Which fruit had a lower price in July—apples or oranges?
e. In which months was the price of oranges higher than the price of apples?
f. In which month was the price differential between apples and oranges the greatest? How much?
EXHIBIT 21-2
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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
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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 21 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 21.I - Use Table 21-1 to answer the following questions...Ch. 21.I - Use Exhibits 21-1 and 21-2 to answer the following...Ch. 21.I - Prob. 3TIECh. 21.I - Prob. 4TIECh. 21.I - Prob. 5TIECh. 21.I - Prob. 6TIECh. 21.I - Prob. 7TIECh. 21.I - Prob. 8TIECh. 21.I - Prob. 9TIECh. 21.I - Prob. 10TIE
Ch. 21.I - Prob. 1RECh. 21.I - TABLE 21-1 Magnum Enterprises Six-Month Sales...Ch. 21.I - Prob. 3RECh. 21.I - Prob. 4RECh. 21.I - TABLE 21-1 Magnum Enterprises Six-Month Sales...Ch. 21.I - Prob. 6RECh. 21.I - Prob. 7RECh. 21.I - BUSINESS DECISION: CHOOSING A CHART
8. You have...Ch. 21.II - Prob. 11TIECh. 21.II - Prob. 12TIECh. 21.II - Prob. 13TIECh. 21.II - Prob. 14TIECh. 21.II - Prob. 15TIECh. 21.II - Prob. 1RECh. 21.II - Prob. 2RECh. 21.II - Prob. 3RECh. 21.II - Prob. 4RECh. 21.II - Prob. 5RECh. 21.II - Prob. 6RECh. 21.II - Prob. 7RECh. 21.II - Prob. 8RECh. 21.II - Prob. 9RECh. 21.II - Prob. 10RECh. 21.II - Determine the mode of the following sets of...Ch. 21.II - Prob. 12RECh. 21.II - Prob. 13RECh. 21.II - Prob. 14RECh. 21.II - Prob. 15RECh. 21.II - Prob. 16RECh. 21.II - Prob. 17RECh. 21.II - The following numbers represent the gallons of...Ch. 21.II - You are the owner of The Dependable Delivery...Ch. 21.II - Prob. 20RECh. 21.III - Prob. 17TIECh. 21.III - Prob. 18TIECh. 21.III - Prob. 1RECh. 21.III - You are the sales manager of the Esquire...Ch. 21.III - Prob. 3RECh. 21.III - BUSINESS DECISION: RELATIVE FREQUENCY...Ch. 21 - 1. The systematic process of collecting,...Ch. 21 - 2. Statistical procedures that deal with the...Ch. 21 - A collection of related data arranged for ease of...Ch. 21 - Prob. 4CRCh. 21 - 5. The horizontal axis of a line chart is known as...Ch. 21 - Prob. 6CRCh. 21 - To construct a pie chart, we multiply each...Ch. 21 - Prob. 8CRCh. 21 - 9. The _______ is the midpoint value of a set of...Ch. 21 - Prob. 10CRCh. 21 - Prob. 11CRCh. 21 - Prob. 12CRCh. 21 - Prob. 13CRCh. 21 - Prob. 14CRCh. 21 - 1. The following data represent the monthly sales...Ch. 21 - Prob. 2ATCh. 21 - Prob. 3ATCh. 21 - You have just been hired as the quality control...Ch. 21 - 5. You are the human resource director for Apollo...
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- 6. [10 marks] Let T be a tree with n ≥ 2 vertices and leaves. Let BL(T) denote the block graph of T. (a) How many vertices does BL(T) have? (b) How many edges does BL(T) have? Prove that your answers are correct.arrow_forward4. [10 marks] Find both a matching of maximum size and a vertex cover of minimum size in the following bipartite graph. Prove that your answer is correct. ย ພarrow_forward5. [10 marks] Let G = (V,E) be a graph, and let X C V be a set of vertices. Prove that if |S||N(S)\X for every SCX, then G contains a matching M that matches every vertex of X (i.e., such that every x X is an end of an edge in M).arrow_forward
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