Methods of Analysis For Business Operations
I need one page for each question for a total of 6 pages. I need at least 4 citations for each question. I need at least 1
reference, in addition to the course text listed as a reference for each page. Course Textbook: Render, B., Stair, R.
M., Jr., & Hanna, M. E. (2012). Quantitative analysis for management (11th ed.). Upper Saddle River,
NJ: Prentice Hall.. I need the references for each question listed after that question. Please do not consolidate
them. Please write the question above the answer so that I will not be confused
1. ABC Manufacturing has 6 machines that perform a particular task. Breakdowns occur frequently
for this machine. Past records indicate that the number of breakdowns that occur each day is
described by the probability distribution seen below:
(a) What is the expected number of breakdowns in any given day?
(b) What is the variance for this distribution?
(c) What is the probability that there will be at least 2 breakdowns in a day?
2. The decomposition approach to forecasting (using trend and seasonal components) may be
helpful when attempting to forecast a time-series. Could an analogous approach be used in a
multiple regression analysis? Explain briefly.
3. Neki Sports Company manufacturers treadmills in factories located in Pittsburgh and
Kansas City. These are shipped to regional distribution centers in Chicago, Phoenix, and
Philadelphia. Ultimately they are delivered to supply houses in New York and Los
Angeles. The available supplies at the factories, demands at the final destinations, and
shipping costs are illustrated in the table below.
Formulate this problem as a linear program.
4. Classify the following problems as to whether they are pure-integer, mixed-integer, zero-one,
goal, or nonlinear programming problems.
Maximize Z = 5 X1 + 6 X1 X2 + 2 X2
Subject to: 3 X1 + 2 X2 ≥ 6
X1 + X2 ≤ 8
X1, X2 ≥ 0
Minimize Z = 8 X1 + 6 X2
Subject to: 4 X1 + 5 X2 ≥ 10
X1 + X2 ≤ 3
X1, X2 ≥ 0
X1, X2 = 0 or 1
Maximize Z = 10 X1 + 5 X2
Subject to: 8 X1 + 10 X2 = 10
4 X1 + 6 X2 ≥ 5
X1, X2 integer
Minimize Z = 8 X12 + 4 X1 X2 + 12 X22
Subject to: 6 X1 + X2 ≥ 50
X1 + X2 ≥ 40
5. Compare and contrast the advantages and disadvantages of conducting simulations.
6. Peruse through the various queuing theory models; choose one model, describe its
characteristics, and how it applies to the overall systemic function.
8 Pages
Write a culminating quantitative research essay on the concepts and topics that you learned in this course
(use the information from the six questions). For this paper, you need to critique two or more research
papers/journals that use quantitative research methods for business. I need both references listed.
Your paper needs to include the following items:
1. Abstract
2. Scale of Data Measurement
Was it quantitative or qualitative? How did the researcher go about collecting the data?
3. Variations within the data
Include the implications this may have for business methods.
4. Concluding results
Critique the findings. What type of errors occurred in the research that may affect the outcome of the
data? Is there any missing information that should be included? Discuss how you would approach the
research and what type of questions you may ask.
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