Fundraiser Problem
Project Description:
As operational researchers we were told to find all the possibilities left given certain constraints. Our client was an artist, selling pastel paintings and watercolor paintings, who wanted to figure out how he could get the greatest amount of profit. We were told to show all the possibilities we found, pull the option with greatest profit and then convince our client that it can't be more or less than what we had selected.
The Process:
Group Members and Roles:
Faris Livingstone - GeoGebra Guru - In charge of creating all the graphs for our client
Ashley Seymour - Facilitator - Making sure the group stays on task with the work that needs to be accomplished
Eli Steria - Spokesperson - Does the talking to the client, Explains what we were are working on at the moment
Jasmin Diaz - Documentor - Writes down everything that is being said, Has all the work organized in a notebook
Reflection Section:
One celebration for each group member, including yourself.
Faris L- One thing I should be happy about myself is that I opened the floor to everyone in my group to let them speak. I usually tend to talk a lot when I really get into the project but this time I kind of wanted to see what everyone was thinking and how I could support them.
Ashley S - She was more on the quieter side during the process but I saw her trying her best and contributing what she could to the group. She helped give suggestions and also answers.
Eli S - Eli worked really well throughout the project he stayed really focused and knew what to tell our client every time something new occurred. Whenever he was confused someone was there to back him up.
Jasmin D - Jasmin helped us stay organized. Since she was the Documentor in charged for writing down all the work she had to make sure she wrote neatly and that it was organized so that the rest of her group mates could read it.
Your perspective on how well your group worked together. What did your group do really well? What contributed to that success? What was one challenge your group had? How did you overcome that challenge? If you did not overcome it, what would you do differently to overcome it if you were to do this again?
I personally feel like our group did really good. We worked well and efficiently which resulted in us finishing faster and satisfying our client a lot faster. Something that went well in our group was our communication. When it comes to group work in math I'm usually not the best but we all were talking to each other, asking clarifying questions and helping each other out when we were convincing our client. I didn't really see any major problems in our group work but I saw a lack of communication between the client and our group. It didn't really affect our group work at all but it created a little but of an awkward environment which didn't seem so good.
Reflecting on your role, what do you think was your biggest strength in that role? In what ways can you grow in that role (what could you do better with more practice and opportunity)?
My biggest strength in being a GeoGebra Guru my knowledge in GeoGebra which is why I wanted to be the GeoGebra Guru. I put all my knowledge into making the graphs so that our group could turn in some quality work as the final product. There is always room for improvement and I think that just playing around more on the website would definitly help me learn new things and also become very comfortable with the old things.
Pictures...
As operational researchers we were told to find all the possibilities left given certain constraints. Our client was an artist, selling pastel paintings and watercolor paintings, who wanted to figure out how he could get the greatest amount of profit. We were told to show all the possibilities we found, pull the option with greatest profit and then convince our client that it can't be more or less than what we had selected.
The Process:
- Finding All The Key Facts - We read through the problem multiple times to catch the constraints that the artist had. Some constraints involved time whereas others involved the budget and cost of watercolor and pastels.
- Create Inequalities - To graph all the constraints and find our feasible region (region of possibilities) we had to change the constraints we found into inequalities.
- Graph - The GeoGebra Guru (which was me) would then plot the constraints onto the graph to see the feasible region. Over the past couple weeks we were learning how to use GeoGebra to create feasible region graphs. We learned things like labeling the vertices , how to input the constraints into the graph, and even how to change the colors of each region to make it more visually appealing. The pastels were on the x-axis and the watercolors were on the y-axis.
- Make Graph More Clear - The only problem with graphing inequalities is that sometimes it is hard to find the exact intersection points, or vertices, so I decided to transform the inequalities into equations of a line by simply substituting the < or > with just a plain =. Making a more clear graph gave our client a more clear understanding of what was going on.
- Figure Out The Possibility With Greatest Amount Of Profit - Since our client just wanted his money and didn't about the math we had to work through this part pretty quickly. To find the greatest amount of profit you first have to create an equation for the profit. We created our own equation to find the profit using the information given to us by the client.
- Convincing Time - After we finished all the mathematical work it was time for the real work, convincing our client that the option we had picked for him would give him the greatest amount of profit. We tried using math several times to back us up and use as proof but most clients, again, don't really care about the math. So instead we talked to our client through graphs. We explained everything to our client in more of a visual manner than just showing him equations on a piece of paper.
Group Members and Roles:
Faris Livingstone - GeoGebra Guru - In charge of creating all the graphs for our client
Ashley Seymour - Facilitator - Making sure the group stays on task with the work that needs to be accomplished
Eli Steria - Spokesperson - Does the talking to the client, Explains what we were are working on at the moment
Jasmin Diaz - Documentor - Writes down everything that is being said, Has all the work organized in a notebook
Reflection Section:
One celebration for each group member, including yourself.
Faris L- One thing I should be happy about myself is that I opened the floor to everyone in my group to let them speak. I usually tend to talk a lot when I really get into the project but this time I kind of wanted to see what everyone was thinking and how I could support them.
Ashley S - She was more on the quieter side during the process but I saw her trying her best and contributing what she could to the group. She helped give suggestions and also answers.
Eli S - Eli worked really well throughout the project he stayed really focused and knew what to tell our client every time something new occurred. Whenever he was confused someone was there to back him up.
Jasmin D - Jasmin helped us stay organized. Since she was the Documentor in charged for writing down all the work she had to make sure she wrote neatly and that it was organized so that the rest of her group mates could read it.
Your perspective on how well your group worked together. What did your group do really well? What contributed to that success? What was one challenge your group had? How did you overcome that challenge? If you did not overcome it, what would you do differently to overcome it if you were to do this again?
I personally feel like our group did really good. We worked well and efficiently which resulted in us finishing faster and satisfying our client a lot faster. Something that went well in our group was our communication. When it comes to group work in math I'm usually not the best but we all were talking to each other, asking clarifying questions and helping each other out when we were convincing our client. I didn't really see any major problems in our group work but I saw a lack of communication between the client and our group. It didn't really affect our group work at all but it created a little but of an awkward environment which didn't seem so good.
Reflecting on your role, what do you think was your biggest strength in that role? In what ways can you grow in that role (what could you do better with more practice and opportunity)?
My biggest strength in being a GeoGebra Guru my knowledge in GeoGebra which is why I wanted to be the GeoGebra Guru. I put all my knowledge into making the graphs so that our group could turn in some quality work as the final product. There is always room for improvement and I think that just playing around more on the website would definitly help me learn new things and also become very comfortable with the old things.
Pictures...