Instructions For Second Wind Productions LLC

Instructionsc2017 Second Wind Productions Llcc2017 Second Wind Pr

Instructions (c)2017 Second Wind Productions, LLC. There are 150 examination points on this EX2, worth 15 CPs. Make sure to appropriately rename the workbook by replacing "Name" in the filename with your last name plus immediate first initial, and change nothing else. If you do not appropriately rename the file, you will automatically lose 15% of your points. It is in your best interest to let the instructor review your file before submitting, especially if you have questions, including about the filename. Follow all formatting instructions carefully.

As stated in the GEN101 activities and documents:

• If you correctly format the cells but have a wrong answer, partial credit is likely.
• If you incorrectly format the cells, the answer will be considered wrong regardless of calculation correctness.

Feel free to email the instructor if you have any questions, making sure to identify your course in the email subject line and attach a current copy of your examination. Do not type values in cells where calculations are required unless instructed; doing so may cost you all points for that worksheet. The instructor will indicate when you are allowed to type in values. Unauthorized typing will result in losing all points for that worksheet.

EX2-1 50 points: Set up and solve the following systems as directed. The points are distributed as follows:

• Initial solution setup and solving: 10 points
• Expressing values in fractional form: 5 points
• Changing element r21 to 4: No specific points mentioned, but likely part of the task

Provide your initial solution values in designated cells, set up the matrices, and solve using Excel, ensuring proper formatting. Express solutions as fractions up to three digits. When directed, change r21 to 4 and save your work.

EX2-2 50 points: Set up and run matrices based on the provided diagram, report the steady state matrix to four decimal places, and ensure the calculations for main diagonal entries (customer loyalty percentages) are performed in Excel using values along Column S as specified. The transition matrix should be correctly configured with the proportions indicating customer retention (diagonal entries). The long-term market share of each company should be inferred from the steady state matrix, identifying which company is most likely to maintain the greatest market share.

EX2-3 50 points: Set up and solve the given matrices, ensuring proper shading and formatting. Use the provided matrices to generate the second row values in Excel by linking cells appropriately—manual entry of the second row is not allowed. Solve the system and decode the message based on the lexicon provided, then type the decoded message in the text box.

Paper For Above instruction

Effective problem-solving in matrix algebra and transition analysis is crucial in various financial and operational contexts. The exercises outlined in this assignment emphasize the importance of accurate matrix setup, correct application of formulas, and precise formatting, all essential skills for students engaged in quantitative analysis. The following discussion explores the methodologies involved, the significance of meticulous setup, and the implications of the results obtained from such exercises, particularly in business and economic modeling.

Matrix setup and solving constitute a foundational skill in quantitative analysis, enabling the modeling of complex systems in finance, economics, and operational research. Accurate setup involves not only correct mathematical formulations but also proper formatting within software such as Excel to facilitate calculation and visualization. For instance, in Exercise 1, students are asked to establish systems of equations and convert them into matrices, which must be correctly formatted to ensure partial credit is awarded. Proper cell formatting, especially for fractional values and specific numeric formats, is critical to avoid misinterpretation and to ensure the accuracy of calculations.

The core of the task involves using matrix algebra to solve systems of equations, which can be efficiently performed in Excel through matrix functions such as MMULT, MINVERSE, and MDETERM. These functions allow the user to find solutions to systems by matrix inversion or multiplication, provided that the matrices are correctly set up and formatted. The importance of proper labeling and cell referencing cannot be overstated, as errors in referencing or formatting can lead to incorrect solutions or loss of points, as highlighted in the instructions.

Transition matrices, as discussed in Exercise 2, are vital tools in modeling customer loyalty and market share dynamics over time. Setting up transition matrices involves understanding the graphical representation of customer movement between companies, translating these proportions into a matrix format, and computing the steady-state distribution. The steady-state matrix illustrates the long-term behavior of the system, assigning the proportion of customers each company will maintain over the long run. The process requires careful calculation of diagonal elements (customer loyalty percentages) derived from the column S values, emphasizing the importance of integrating graphical and numerical data accurately.

Performing these calculations in Excel involves setting up the transition matrix, computing the iterative powers of the matrix until equilibrium is reached, and interpreting the steady state. The recursive nature of Markov chains makes it necessary to verify convergence and consistency of the results. Accurate implementation of this process allows analysts to predict long-term market shares, informing strategic decisions such as customer retention initiatives and competitive positioning.

The decoding exercise in Exercise 3 adds an element of cryptanalysis to the analytical skill set, requiring students to connect the matrices to a message and interpret the coded message based on the provided lexicon. This task highlights the importance of linking algebraic results to real-world messaging and underscores the interdisciplinary nature of quantitative analysis. Proper linking in Excel ensures that the second row values are automatically calculated from the first row, preventing manual errors and reinforcing the importance of dynamic modeling.

In conclusion, the exercises presented underscore key skills in matrix manipulation, transition analysis, and data decoding vital for modern quantitative analysis. Success hinges on meticulous setup, correct formula application, precise formatting, and thorough interpretation of results. These skills are transferable across numerous disciplines, including finance, marketing, and operations management, where data-driven decision-making is essential for strategic success.

References

• Anton, H., & Rorres, C. (2014). Elementary Linear Algebra (11th ed.). John Wiley & Sons.
• Brigham, E. F., & Ehrhardt, M. C. (2016). Financial Management: Theory & Practice (15th ed.). Cengage Learning.
• Gordon, P. (2018). Practical Matrix Algebra for Data Analysis, Coding, and Modelling. Springer.
• Hillier, F. S., & Lieberman, G. J. (2015). Introduction to Operations Research (10th ed.). McGraw-Hill Education.
• Lay, D. C., Lay, S. R., & McDonald, J. J. (2016). Linear Algebra and Its Applications (5th ed.). Pearson.
• Mitzenmacher, M., & Upfal, E. (2005). Probability and Computing: Randomized Algorithms and Probabilistic Analysis. Cambridge University Press.
• Montgomery, D. C., & Runger, G. C. (2014). Applied Statistics and Probability for Engineers (6th ed.). Wiley.
• Seber, G. A. F. (2008). Multivariate Observations. Wiley-Interscience.
• Sudkamp, T. (2015). Markov Chain Analysis for Customer Loyalty and Market Share. Journal of Business Analytics, 8(3), 45–59.
• Vardeman, J., & Jobe, W. (2013). Introductory Statistics for Business and Economics. Pearson.