Purpose:

The primary objective of this assignment is to define, formulate, and solve a mathematical optimization model. This task aims to help you master the following module outcome:

Integrate your learning on mathematical modeling.

Directions:

You have been assigned the task of forming groups. Consider that your class consists of 15 students, and you aim to create 5 groups, each containing 3 students. The main goal is to maximize the chance of success for each group on a class project. The requirements for forming groups are as follows:

Divide 15 students into 5 groups of 3 members each.

What factors affect the success of groups? Define three factors (e.g., GPA, gender, etc.) that you feel influence the contributions students make towards project success.

Use R's randomization function to generate data for these factors.

Record the collected data.

Formulate a mathematical model with an objective function, constraints, and nonnegativity components.

Solve the model in R and report objective function values and decision variables.

Provide insights in your results.

Tasks:

1. Formulate the Model:

Define the decision variables, objective function, and constraints based on the given requirements and preliminary issues.

2. Solve the Model in R:

Implement the formulated model in R to find the optimal solution.

3. Produce the R Markdown File:

Create an R Markdown file (.Rmd) documenting your code, solution process, and results.

4. Write a Report:

The report should include the following sections:

Appealing title

Succinct abstract

The goal of the project.

Data and variables.

Data collection/generation process.

Model building.

The approach to solving the model.

Findings and conclusion.

References

Appendix (optional)

Report:

The report should be comprehensive, offering a clear understanding of your approach, methodology, and findings. Emphasize the significance of your work as this section holds the utmost importance in the project evaluation.

R Markdown File (.Rmd):

Include the R Markdown file that corresponds to your analysis. Ensure it is well-organized, properly documented, and showcases your analytical process effectively.

PowerPoint Slides:

Prepare a set of PowerPoint slides that succinctly present key aspects of your project. Focus on clarity and conciseness to effectively communicate your approach, methodology, and major findings. Note: Each component plays a crucial role in the overall assessment. The report is particularly significant, serv

Note: I need full Report with Clear terms and R code to execute the results