EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Chapter 85, Problem 7AR
Express the following decimal numbers as binary numbers.
a. 7
b. 32
c. 157
d. 0.125
e. 74.25
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Support Department Cost Allocation—Reciprocal Services Method
Blue Africa Inc. produces laptops and desktop computers. The company’s production activities mainly occur in what the company calls its Laser and Forming departments. The Cafeteria and Security departments support the company’s production activities and allocate costs based on the number of employees and square feet, respectively. The total cost of the Security Department is $261,000. The total cost of the Cafeteria Department is $300,000. The number of employees and the square footage in each department are as follows:
Department
Employees
Square Feet
Security
10
570
Cafeteria
28
2,400
Laser
40
4,800
Forming
50
800
Using the reciprocal services method of support department cost allocation, determine the total costs from the Security Department that should be allocated to…
PROBLEM 7: Binary Relations, Functions and Orderings (15 pts)
1. (2 pts) Prove that ({2, 3, 4, 6, 24, 36, 72}, /) is a poset, create its corresponding Hasse
diagram and identify maximal and minimal elements.
2. (1 pts) Prove that (P{1, 2, 3}, C) is a poset, create its corresponding Hasse diagram
and identify maximal and minimal elements
3. Assume the following mapping, captured by variable map:
map =
{
72 {1,2,3},
36
{3},
24 {1,2},
6- → {3},
4 {1,3},
2➡ {}
}
Provide answers to the following in detail (in plain english and formally):
(a) (2 pts) Is variable map a function? If so, is it a total or a partial function? Identify
domain and codomain.
(b) (10 pts) Discuss all properties (injectivity, surjectivity, bijection, order preserving,
order reflecting, order embedding, isomorphism).
NOTE: When we reason formally on a property we must state: (1) What Law do we expect
to hold or not hold, and (2) Does this Law indeed hold or Is this Law violated?
Chapter 85 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
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