Three companies Benfel Ltd, Cromwell Ltd and Samtec Ltd were recently launched in the Kenyan market. The companies have operated in the Kenyan market for a few months now. At the beginning of the month of August 2019, a survey on monthly brand switching behavior was conducted on a representative sample among customers of the three companies. The survey revealed that Benfel Ltd retains 70% of its customers and loses 20% to Cromwell Ltd and 10% to Samtec Ltd. Similarly, Cromwell Ltd retains 60% of its customers and loses 30% to Benfel Ltd and 10% to Samtec Ltd. Furthermore, Samtec Ltd retains 50% while it loses 30% to Cromwell Ltd and 20% to Benfel Ltd. It has been determined that there will be 3,500, 4,300 and 2,200 customers shopping with Benfel Ltd, Cromwell Ltd and Samtec Ltd respectively at the start of the month of September 2019. i. Evaluate the distribution of the sample surveyed as at the beginning month of August 2019. (5 marks)
ii. Compare the long run state of the market amongst the three companies.

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.