Assignment 3: Julia Bond Booth
Julia is a senior at Tech, and a small entrepreneur. She wants to lease a food booth outside the Tech stadium for the home football games, so she can make profit to finance a final year. Tech sells out every home game, and the one thing Julia knows from attending the every games, is that everyone eats a lot of food. She has a booth, and the booths are not very large. Vendors can sell either food or drinks on Tech property, but not both. Only the Tech athletic department concession stands can sell both inside the stadium. Then, she had a great idea, she thinks slices of cheese pizza, hot dogs, and barbecue sandwiches are the most popular food items among fans and so these are the items she would sell.

(A)Formulate and solve an L.P. Model for this case.
X1= the number of slices of Pizza; X2 = the number of Hot Dogs; X3 = the number of Sandwiches **The Objective is to Maximize Total Profit. Profit is calculated for each variable by subtracting cost from the selling price** For Pizza Slice, Cost/Slice= $6/8 = $0.75

For Hot Dog = $1.50 – 0.45 = $1.05
For Sandwiches = $2.25 – 0.90 = $1.35
**Maximize**
Z = $0.75(x1) + $1.05(x2) + $1.35(x3)
$0.75(x1) + $0.45(x2) + $0.90(x3) = 2.1
x1,x2,x3 >= 0
**Constraints**
$0.75(x1) + $0.45(x2) + $0.90(x3) =0 (At least twice as many Hot Dogs as BBQ.) x1, x2, x3 >0 (non-negativity constraint) |

...MAT540 Quantitative Analysis Quiz 3
TRUE/FALSE – clearly indicate your response.
1. Sensitivity analysis is the analysis of the effect of parameter changes on
the optimal solution. T .
2. The sensitivity range for an objective function coefficient is the range of
values over which the current optimal solution (product mix) will remain
optimal. T .
3. The sensitivity range for a right-hand-side value in a constraint is the
range of values over which the quantity values can change without
changing the solution variable mix, including slack variables. T .
4. The terms reduced cost, shadow price, and dual price all mean the same
thing. F .
5. Sensitivity analysis can be used to determine the effect on the solution
for changing several parameters at once. F .
6. A negative shadow price indicates that the objective function decreases
when the right hand side of a constraint increases. T .
7. For a profit maximization problem, if the allowable increase for a
coefficient in the objective function is infinite, then profits are unbounded. T .
MULTIPLE CHOICE – clearly indicate your response.
1. For a linear programming problem, assume that a given resource has not been fully used. In other words, the slack value associated with...

...term of form six.
MANUAL FOR COURSEWORK
The manual contains regulations and guidelines on
the conduct and assessment of coursework which
needs to be implemented by the school as well as
coursework assignments.
The school authority is responsible to make copies of
Part 2: Student’s Manual For Mathematics (T)
Coursework of this manual to be given to the
students.
Student are required to complete the coursework
which comprises three assignments in the respective
terms.
IMPLEMENTATION
Students must carry out each assignment
individually. Plagiarism will be penalised.
Teachers must monitor the progress of the
student’s coursework. It is, however, not
acceptable for teachers to give detailed
suggestions as to how the work may be improved
to meet the assessment criteria.
Examples of unacceptable assistance are as
follows:
•
detailed
omissions
indication
of
errors
or
•
the provision of detailed outlines,
analysis, discussion, or conclusion specific to the
coursework tasks
•
personal intervention to improve the
presentation or content of the coursework
ASSIGNMENT REPORTS
A complete assignment report should be structured
as follows:
(a)
Introduction
(b)
Methodology
(c)
Results
(d)
Conclusion
ASSIGNMENT REPORTS
(a) Introduction:
•Description of the problem (including the title)
(b) Methodology
•The application...

...ORGANISING YOUR DATA:
A. Summarise your results in a table.
Name
Age
Writing Hand R/L?
Writing hand angle
Non-writing hand angles
Right (√)
Left (√)
Zac Taylor
15
√
50o
50o
Eric Na
17
√
55o
52o
Damian Bielinski
15
√
49o
48o
Ashley Vandenput
15
√
47o
50o
Tolga Pasin
15
√
50.5o
53o
Corey Evans
15
√
52o
50o
Romy Abbott
14
√
50o
53o
Candice Shadford
15
√
45o
54o
Jess Dayus
14
√
50o
55o
Joel Dayus
11
√
49o
55o
Myriam Dayus
42
√
58o
45o
Toby Abbott
16
√
53o
52o
B. Arrange your data in numerical order.
C. Calculate the five number summaries and summarise this information in a table.
D. ANALYSING THE DATA:
a) Select three (3) categories from those above and construct parallel box plots from your five number summaries.
b) Provide printouts of the three parallel boxplots.
E. Write a 300 word (approx) detailed analysis of the parallel boxplots.
Twelve people were tested on the angles of their writing and non-writing hand. These people aged through from eleven (11) to forty two (42), the data obtained was put into tables and a box plot diagram. A box plot is a diagram used to represent the range, median and quartiles of a set of data values. The difference between males and females will be compared, along with the shape of distribution of the diagram and the range. The three sets of data that were chosen to compare...

...
Ayivi Koutodjo
Case Assignment3
Professor Erickson
Liberty University
BUSI 600- B02
September 7, 2014
Case Assignment3: Surveys
Communication approach is a critical step in a business research. It involves surveying or interviewing people and recording their responses for analysis (Cooper & Schindler, 2013, pg. 218). Despite its disadvantages, surveys have gained in popularity. Nevertheless, surveys need a good planning, which would ultimately lead to an excellent analysis.
Critique the survey used for the study
In this case, “Inquiring Minds Want to Know ---Now!” (Schindler & Cooper, 2011), Penton Media relied on self-administered survey to gather information from subscribers. The questionnaire is sent to subscribers through mail. The basic concept of survey research involves capturing beliefs, attitudes, or outcomes that can be generalized to a population from which the sample was selected (Alderman & Salem, 2010, pg. 1381). Self-administered survey allows enough time for participants to complete the survey. In addition, it enables Penton Media to maximize participation as subscribers could include more...

...Julia’s Food Booth
Based on the LP model to maximize profit with the established constraints Julia should sell pizza and hotdogs and not BBQ sandwiches. Based on this model Julia will earn $2250.00 in profit. After buying food supplies for the next game she will have $750 remaining ($2250-1500). Julia’s goal was to clear $1000 in profit which she was not able to meet. It is not clear how Julia is paying for the booth rental each game, but assuming she is covering the costs with her profits from the prior game she will need $1000 for the booth + $1500 for food which equals $2500 she needs to make each game just to cover her expenses.
The idea of Julia borrowing money would not be necessary because what is limiting her profit is the limited space she has in the oven. In the model all of the oven space is being utilized by Pizza and Hotdogs. If she borrowed money she wouldn’t have enough room to stock more food. She would have to borrow enough money to rent another oven, if there was enough space in the booth, and enough money to buy additional supplies. In addition, assuming that my calculations are correct paying a friend to help her does not seem like a good idea as it would further cut into any profit and increase costs.
There are many uncertainties that can affect Julia’s profit. The case states that Julia anticipates selling all of her food; but not selling out will adversely affect her already strained profit margin. Fluctuations in the cost of the...

...motion of the body. The presence of friction between contact surfaces generates sound, light, and heat energy. It is also referred to as the retarding force or even drag force in the form of air resistance.
Frictional force is found to be directly proportional to the normal force (N) which is mathematically expressed as:
f ∝N
f=kN (Equation 1)
The coefficient of friction (µ) takes the place of k which is the constant of proportionality. Thus:
f=µN (Equation 2)
26904953626485Figure3. Angle of Repose
Figure 3. Angle of Repose
269061011472000If the body slides down the incline due to its own weight, the angle between the horizontal and the incline is called angle of repose 𝜽, as shown in Figure 3. In the previous experiment, if we are measuring along the y-axis, the formula will be
ΣFy=0, f=Wcosθand if we are measuring along the x-axis, the formula will be
ΣFx=0, f=Wsinθ.
The coefficient of friction is equal to the tangent of the angle of repose.
µ=fN=WsinθWcosθ, µ=tanθ(Equation 3)
In this experiment, we should be able to determine the coefficient of friction (µ) between contact surfaces as one body moves with uniform motion and establish the relationship between the angle of repose (𝜽) and µ. The rules of this experiment are to keep clean the surfaces of the wooden block and plane by wiping them with a piece of scratch paper or tissue to remove dust and other particles and to make sure not to touch the...

...contract must possess consideration. A contract must therefore be a two-sided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties. Terms are the promises and undertakings given by each party to the other. They form the substance of a contract and they specify the way in which contractual obligations are to be performed. These terms can be set out expressly or are implied into the contract by fact, trade custom or law. In the case of Beauty and Stylish, Clause 3 is an express term. The express terms of a contract are those which the parties have specifically discussed an agreed upon, be it orally or in writing. In this contract, Clause 3 mentioned that the contract price of the house excludes all window coverings. The provision of curtains, blinds or other window coverings is the responsibility of the purchaser (Stylish) and will not be provided pursuant to this contract. By signing the contract, it means Stylish has agreed and acknowledge all terms. Thus, with this express term, Stylish is unable to gain contractual rights in relation to the window coverings.
However, if we look into the pre-contractual statements, Stylish is able to gain contractual rights in relation to the window coverings. Many contracts involve the making of pre-contractual...

...velocity and distance are as below:
V2-U2=2AS
Where V is the final velocity
U is the initial velocity
A is the acceleration (or retardation)
S= the distance travelled
By applying the above formula in this study we get
02-U2= 2(-A)xS) (as final velocity will become zero after applying breaks)
Thus U2= 2aS
Which means U2 α 2aS
Thus square of Velocity (or Speed) is directly proportional to the “Breaking distance
Thus the relationship between the ‘Speed’ and the ‘Distance traveled’ will always be quadratic in nature.
Is this data reliable?
This data gives us an overview about the relationship. However the results are not very accurate. The reasons are many due to real life situations.
1) Weather
2) Road conditions,
3) Type and condition of vehicle
4) Load inside vehicle, Drivers capability etc
Summary : Thus this data might not be as accurate. We are for that reason our achieved readings that are not exactly matching real life readings. So, this data is relevant but we have to incorporate some variable factors depending upon the real life conditions.
Explain this….
BY Vidihika Khanna
MP4a...