This is an HTML R Markdown document that provides a reference for your week 1 homework. Although you do not need to follow this outline exactly, this provides the fundamental output I am looking for. Be sure to use headings appropriately and feel free to incorporate features such as italics and bold font, images, lists, and HTML links. Also, for your code chunks be sure to show both your code and your results.

Introduction to Me!

Brad

Hello! I’m an organizational economist focused on applying data science to provide decision makers robust understanding of economic behavior, performance, and potential policy impacts across an organization. I grew up in southeastern Minnesota and have also lived in Colorado, Iowa, North Dakota, and now Ohio.

Academic Background

Professional Background

Currently I am an Assistant Professor of Logistics and Supply Chain Management at the Air Force Institute of Technology Department of Operational Sciences and an Adjunct Assistant Professor of Business Analytics at the University of Cincinnati Lindner College of Business. My day-to-day work includes:

Previously, I was a Senior Operations Research Analyst with the Air Force and spent many years developing life cycle forecasting, risk and decision analysis models.

Experience with R

I have been programming in R for nearly four years now. I started using R during my dissertation research and haven’t looked back since. I have performed a diverse set of analytic functions with R to include but not limited to:

  • Data mining
  • Longitudinal cluster analysis
  • Multivariate regression
  • Multi-level models (hierarchical regression)
  • Data envelopment analysis
  • Text and semantic analysis
  • Flexdashboard & Shiny apps

Furthermore, I have also written a book on Data Wrangling with R, performed several short-course trainings, and guest lectures. However, I admit I am far from proficient in all things R and look forward to learning from you all. Prior to R I did limited coding in Excel visual basic and performed most of my analytic approaches using Excel, DecisionTools Suite, Crystal Ball, JMP, and SPSS.

Week 1 Exercises

The following are the exercises required at the beginning of week 1’s class. However, in my case I hide the code used to produce these results where I want you to show the code you used.

  1. Compute \(100(1 + \frac{0.05}{12})^{24}\)
## [1] 110.4941
  1. What is the remainder when 3333 is divided by 222?
## [1] 3
  1. Investigate the behavior of \((1 + \frac{1}{n})^n\) for large, integer values in n. In this case I investigate when n equals 1, 10, 100, 1,000, 10,000, 100,000, 1,000,000, 10,000,000, 100,000,000, and 1,000,000,000.
##  [1] 2.000000 2.593742 2.704814 2.716924 2.718146 2.718268 2.718280
##  [8] 2.718282 2.718282 2.718282
  1. The Economic Order Quantity (EOQ) gives the optimal order quantity as \(Q = \sqrt{\frac{2DK}{h}}\) where D is the annual demand, K is the fixed cost per order, and h is the annual holding cost per item. Create and set the variables \(D = 1000\), \(K = 5\), and \(h = 0.25\) and compute the associated value of Q.
## [1] 200
  1. For an initial principal amount P and a nominal annual interest rate r that is compounded n times per year over a span of t years, the final value of a certificate of deposit is \(F = P(1 + \frac{r}{n})^{nt}\). Create and set the variables \(P = 100\), \(r = 0.08\), \(n = 12\), and \(t = 3\) and compute the associated value of F.
## [1] 127.0237