Submitting the Assignment

Submit PDF file, in addition to TWO RStudio scripts (for each part, one RStudio script should be submitted). If you submit more than one file, the

most recent will be graded.

The PDF File

Create an MS Word file that includes the answers to the questions and any screenshots, graphs, and tables as instructed in the assignment questions. You   will need to submit the finalized version of this file (as PDF) to receive the

grades for the assignment.

How to Logon to RStudio

For Windows users:

- First, download R using the following link:

https://cran.r-project.org/bin/windows/

- After downloading and installing R, you can download RStudio from the RStudio website: https://www.rstudio.com/products/rstudio/download/

For Mac users:

- First, download R using the following link: https://cran.r-project.org/bin/macosx/

- After downloading and installing R, you can download RStudio from the RStudio website:

https://www.rstudio.com/products/rstudio/download/

For the instruction of R and RStudio installation, you can search online. There are lots of resources. For instance, check the following link for Windows and   Mac users:

https://www.dataquest.io/blog/installing-r-on-your-computer/

Notes:

For each part, you need to interpret the results from each analysis to help a manager make proper decisions.

Part 1.

A manufacturing company produces three products: Product A, Product B, and Product C. The company wants to determine how many units of each Product   to produce to maximize the profit. Each unit of Product A requires 2 units of    labor, 3 units of material X, and 1 unit of material Y, and will be sold for $20.   Each unit of Product B requires 4 units of labor, 2 units of material X, and 2     units of material Y, and will be sold for $25. Each unit of Product C requires 4  units of labor, 1 unit of material X, and 3 units of material Y, and will be sold   for $22. The company has 475 units of labor, 400 units of material X, and 300  units of material Y available.

1.1. How many Products, A, B, and C, should the company produce to meet the goal?

1.2. Interpret the results you obtain in RStudio in a short paragraph. (e.g., you can mention which Product is (not) profitable and why).

1.3. Assume that the number of Products A, B, and C to be produced are fixed and equal to the optimal values you found in question 1.1. By changing the values of the coefficients in the objective function, determine the highest profit given the specified number of products.  What are the new coefficients? Explain your approach to solving this question.

1.4. Assume that the manager has decided not to sell product B. Based on this input, draw a plot that shows the constraints and the objective   function of this problem. Add the screenshot of the plot to your report  and interpret the results. (Assign Product A to Y-axis and Product C to X-axis)

Part 2. Assume that you are an investor, and you want to invest in one of the following manufacturing companies: