Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 79, Problem 1A
To determine
(a)
To sketch:
A rectangular solid.
Expert Solution
Explanation of Solution
Given:
Three views of angular portion of tool are shown below:
Concept used:
Construct a rectangular solid by using three views.
Calculation:
Rectangular solid is given as follows:
To determine
(b)
To find:
Angle 
.
Expert Solution
Answer to Problem 1A
The angle
is 
Explanation of Solution
Given:
Three views of angular portion of tool are shown below:
Concept used:
Construct a rectangular solid by using three views.
Expression for the angle
is given as follows:
....... (1)
Calculation:
Rectangular solid is given as follows:
Substitute 
for 
and
for 
in equation (1).
Thus, the angle
is 
Conclusion:
The angle
is 
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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 79 Solutions
Mathematics for Machine Technology
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