1. Myers Quarry produces coarse gravel and sand in an 8:2 ratio. Joint costs for a month (volume 5
9,000 tons of rocks input) amount to $225,000. Values at the split-off point are $30 per ton for gravel
and $40 per ton for sand.
Required:
a. Allocate join
Decision Making in the Short Term
1. (Appendix A)
a. Let us begin by calculating relative sales values.
Gravel:
9,000 tons 0.8 $30
Sand:
9,000 tons 0.2 $40
Total
$216,000
$72,000
$288,000
Thus, 75% of the joint cost (=$216,000/$288,000) would be allocated
1. The Pleasantville Company makes 20,000 units per year of a part used in production. The unit
product cost is as follows:
Direct materials
$ 6.20
Direct labor
2.30
Variable Manufacturing Overhead
1.20
Fixed Manufacturing Overhead
.80
Unit product cost
$
MULTIPLE CHOICE
1. Most short-term decisions deal with temporary gaps between:
A. A flexible supply of capacity and a fixed demand.
B. The inability to change selling price and the ability to estimate controllable costs.
C. The amount of fixed costs that
1. Because potential longer-term effects could vary across short-term decision options, they might be
relevant.
LO5 True
2. Quantifying the longer-term implications of short-term actions is relatively simple.
LO5 False
Quantifying the longer-term implicat
1. Gecko Company is evaluating the use of a supplier versus making the wheels for its skateboards
internally. The currently manufactured wheels have a variable unit cost of $2. Fixed costs are
$16,000 per month, however, 25% can be eliminated if wheels ar
Marketing Plan For Nokia
Corp.
Name
Institution
Executive Summary
Nokia is occupied with the assembling of portable devices
and in merging Internet and interchanges.
It is the world's biggest maker of cell phones.
Nokia produces mobile devices for each
1. In general, analysis that considers only controllable or relevant costs is less efficient when decision
options differ only with respect to a few benefit and cost items.
LO2 False
In general, analysis that considers only controllable or relevant costs
1. The Huffman Tire Company has 3,000 tires in its inventory which are considered obsolete. Each unit
originally cost the company $35. Management is considering options to reduce these inventory
levels. Units can be sold directly to car dealerships for $3
Matlab Basics Workshop
MATLAB ( Matrix Laboratory)
www.mathworks.com
Matlab Basics
What is MATLAB
MATLAB(Matrix laboratory) is an
interactive software system. It
integrates mathematical computing,
visualization, and a powerful language
to provide a flexib
Chapter 19
Numerical
Integration Formulas
YOUVE GOT A PROBLEM
What Is Integration?
y f(x)
Integration
I
M
lim f ( x )x
max x 0 i 1
i
M
i
b
a
f ( x)dx
A f ( xi ) xi I
i 1
Graphical Representation of Integral
Integral = area
under the curve
Use of a grid t
Chapter 12
Iterative Methods for
System of Equations
Iterative Methods for Solving
Matrix Equations
Ax b
x Cx d , C ii 0
Jacobi method
Gauss-Seidel Method*
Successive Over Relaxation (SOR)
MATLABs Methods
Iterative Methods
a 11 x 1
a x
21 1
a 31 x 1
MATLAB
What is MATLAB ?
MATrix LABoratory
Developed by The Mathworks, Inc (http:/www.mathworks.com(
Interactive, integrated, environment
for numerical computations
for symbolic computations
for scientific visualizations
It is a high-level programmi
ROUNDOFF and TRUNCATION
ERRORS
Chapter 4
Introduction
Roundoff errors arise because digital
computers cannot represent some
quantities exactly.
They are important to engineering and
scientific problem solving because they can
lead to erroneous results.
Chapter 5
Roots and Optimization
ROOTS: Bracketing Method
1
CHAPTER OBJECTIVES
Understanding what roots problems are and where they
occur in engineering and science.
Knowing how to determine a root graphically.
Understanding the incremental search meth
Mathematical Modeling,
Numerical Methods,
and Problem Solving
Chapter 1
Chapter 1: Objectives
Learning how mathematical models can be
used to simulate the behavior of a simple
physical system.
Understanding how numerical methods
generate solutions that
Solving ODEs Using
Matlab
Dr. Raed AL Jowder
Summary
Runge-Kutta Methods
Analytical Solution
> dsolve('Dy=y*t^2-1.2*y','y(0)=1')
ans =
exp(t*(5*t^2 - 18)/15)
Problem
Solve the following initial-value problem
dy
yx 2 1.2 y
dx
From x=0 to 2, where y(0
Chapter 7
Optimization
1
A projectile can be projected upward at a specified velocity.
If it is subject to linear drag, its altitude as a function of time
can be computed as:
z is altitude (m) above the earth surface.
z0 is the initial altitude.
m is ma
Chapter 6
Open Methods
1
Why Called Open Methods
They require either only one initial starting value or two that though do not necessarily bracket the root
Bisection
Open method
2
Simple Fixed-Point Iteration
Rearrange f(x) = 0 into the form: x = g(x)
ite
Chapter 9
Gauss Elimination
The Graphical Method
Determinants and Cramers Rule
This rule states that each unknown in a
system of linear algebraic equations may
be expressed as a fraction of two
determinants with denominator D and with
the numerator obtain
Course Introduction
Textbook and References
Chapra, Steven C. Applied numerical
methods with MATLAB for engineers and
scientists, 3rd ed. 2012 McGraw-Hill
international edition.
Chapra S. and Canale R, Numerical
Methods for Engineers with software and
p
Intermediate Microeconomics
Math Review
1
Functions and Graphs
Functions are used to describe the relationship between two
variables.
Ex: Suppose y = f(x), where f(x) = 2x + 4
This means
if x is 1, y must be 2(1) + 4 = 6
if x is 2, y must be 2(2) + 4 =
Belimo Project: New Castle County Courthouse, Wilmington, DE
Technical Documentation
Pipe Packages
Effective June 2009
Pipe Packages
Pipe Package provides reliability,
fast delivery and ease of installation.
L30046 - 06/09 - Subject to change. Belimo Airc
10) How many 8-bit strings contain six or more 1s?
We need to consider 3 different cases. In each case, the 8-bit string is entirely determined by
the location of the 1s.
Case 1: there are six 1s. We need to find how many ways there are to arrange 6 1s am
Discrete Mathematics
Final Exam - Solution
I. Propositional and Predicate logic
1. Fill in the corresponding truth values (T or F) of the expressions
P
T
T
F
F
Q
T
F
T
F
expression
P Q
PV Q
P Q
P Q
Value
F
T
T
F
2. Complete the logical identities:
PP=P
PF
Introduction to Business Statistics I (QM - 120)
Homework # 5
Problem # 1
In a group of 20 athletes, 6 have used performance-enhancing drugs that are
illegal. Suppose that two athletes are randomly selected from this group. Let x denote
the number of athl
Introduction to Business Statistics I (QM - 120)
Homework # 6
Problem # 1
Assume Z follows a standard normal distribution, find
a- zo such that P(Z > zo) = .5.
b- zo such that P( - zo < Z < zo) = .5. What percentiles do - zo and zo represent?
c- zo such t
Introduction to Business Statistics I (QM - 120)
Homework # 3
Problem # 1
The following table lists six pairs of x and y values.
6
3
x
y
10
13
9
4
1
-8
0
9
5
-2
Compute the value of each of the following.
a. y
b.
c.
d.
e.
x
xy
x y
( x 3)
2
2
2
y
Problem
IntroductiontoBusinessStatisticsI(QM120)
Homework#4
Problem#1
The sample space for an experiment contains five simple events with
probabilities is shown in the table. Find the probability of each of the following
events:
Simpleevents Probability
1
.05
2
.