Liner programming

Discussion post responses. For both parts. Must be 100-200 words each. Also, use in citations, and use references that are websites and based in the United States.

Part 1(a)

Hello Everyone,

The complexity of activities in the contemporary world has seen a comprehensive integration of liner programming in major industries such as manufacturing, engineering, agriculture, transportation, and energy. Linear programming critically offers optimal solutions for operations research. Those who have considered linear programming in their operation have testified to its potential to offer the best and most economical solution to a problem within all of its limitations or constraints. Apart from being interested in a Concierge service business, I also aspire to major in manufacturing skincare products. I believe that linear programming will be critical in my manufacturing business. I will integrate linear programming techniques in my business to make processes more efficient.

The Business will involve the transformation of raw material into products that maximize company revenue. The efficiency of each step of the manufacturing process is essential in achieving the goals of the company. I will use linear programming in my business in critical steps, such as determining the number of raw materials to use. Constraints include the time spent on each machine. Any machine creating bottlenecks must be addressed. The number of products made may be affected to maximize profit based on the raw materials and the time needed.

Part 1(b)

Linear programming is used every day to optimize the distribution of resources or activities to generate the maximum benefit or profit (Writer, 2020). A linear programming problem can range from simply figuring out how to share a piece of chocolate between friends to comprehensively developing the transit bus route for a city. I recently learned that I use linear programming every time I walk into a Publix grocery store. When I shop at Publix, my goal is to optimize my resources (time) by efficiently selecting items. I start in the health and nutrition section, work through the dry goods and non-perishables, then I walk the back wall of refrigerated items until I reach the fresh fruits and veggies. After I have found all of the items I needed from the fruit and vegetable section, I typically walk ten steps to the deli where I pick up a hot rotisserie chicken. Finally, I enter the frozen food section which is right across from the checkout lanes. When I use this approach to shopping, I do not have to retrace my steps for missed items and my food maintains the correct temperature until I get home to put it away.

Granted, my example does not include formulas and data, but it does illustrate a real-world scenario of how to choose the shortest route which is a function of linear programming. When choosing the shortest route, the objective is to deliver or collect items from specific destinations or locations using the fastest route available. The process of choosing the best route is a topic of interest in data science called Operation Research (Vidhya, 2017). With the application of linear programming, a problem’s complexity can be reduced, and a solution can be found in almost every situation.

References

Vidhya, A. (2017, February 28). Introductory Guide on Linear Programming for (aspiring) data scientists. Retrieved June 17, 2021, from Analytics Vidhya: https://www.analyticsvidhya.com/blog/2017/02/lintr…

Writer, S. (2020, August 10). How is Linear Programming Used in the Real World? Retrieved June 17, 2021, from Reference, World View: https://www.reference.com/world-view/linear-programming-used-real-world-9d0ec2f9d7641594

Part 2(a)

Under what circumstances can conflict be functional? When is conflict dysfunctional? Which of the basic types of conflict are likely to be dysfunctional, and why?

Conflict can actually have a positive impact and be functional. When conflict promotes change, enhances problem solving, boosts group collaboration, revives creativity which grows productivity you can consider it functional, having a positive impact on your team and or organization.

Of course, there are always two sides to a coin so if you have inflated egos, an over abundance of conflict with a low motivation culture and dueling objectives the conflict you will produce will be dysfunctional.

Some of the basic types of conflict that are dysfunctional are personal conflict, substantive conflict, and procedural conflict. Personal conflict becomes dysfunctional because it is just that, personal. It is differences between people and heir relationships. The second example of dysfunctional conflict is substantive conflict. This is when there are differences between the “group” over work tasks, goals and performance. The last type of dysfunctional conflict is procedural conflict and that is conflict that deals with how the work should be done.

Hitt, M. A., Miller, C. C., & Colella, A. (2018). Organizational behaviour (5th ed.). Wiley.

Bradley George, Truls Erikson & Annaleena Parhankangas (2016) Preventing dysfunctional conflict: examining the relationship between different types of managerial conflict in venture capital-backed firms, Venture Capital, 18:4, 279-296, DOI: 10.1080/13691066.2016.1224457

 

Part 2 b

Under what circumstances can conflict be functional? When is conflict dysfunctional? Which of the basic types of conflict are likely to be dysfunctional and why?

Functional conflict can be described as conflict that supports the goals of the group and improves its performance. Functional conflict can be beneficial, as it often creates energy, creativity and collaboration. An example would be when a member in a group plays the devil’s advocate to question theories, the process, or decisions. Often times this will create dialect amongst the group to dig deeper and possibly find a better or faster solution.

Dysfunctional conflict, is conflict that hinders group performance. Examples of this are interpersonal conflict, where two or more in the group do not get along, thus creating problems for the group as a whole, poor communication, where too little or too much could be a problem, and procedural conflict, where people within the group can not decide on leadership or roles within the group. This often leads to delays or the project not being completed at all. Dysfunctional conflict can have a crippling effect on an organization, as it reduces both motivation and production.

Sources:

Hitt, M. A., Miller, C. C., Colella, A., & del Carmen Triana, M. (2017). Organizational Behavior Fifth Edition. Hoboken