The Fundraiser Project
For this project, we had "clients" come in from CSUSM, or Cal State San Marcos, and give us a problem that we would have to solve as a group, and then give our best recommendation to the client. The problem we were given was about an artist who creates pastel paintings and watercolour paintings. Each pastel painting costs $5 to create and sells for $40, and each watercolour painting costs $15 to create and will sell for $100. The artists total budget for supplies is $180 and they can only make up to 16 paintings. Our job was to find the combination of pastel and watercolour paintings that would make the most profit for the artist, while minding the constraints at hand. To do this, we took the constraints, and turned them into inequalities. So we would have "x" (number of pastel paintings) and "y" (number of watercolour paintings) as the variables in our inequalities. Our inequalities would be; x+y<=16 (the total number of paintings must be less than or equal to 16), (5x)+(15y)<=$180 (the cost of both types of paintings combined must cost less than or equal to $180), x>=0 and y>=0 (the number of watercolour paintings and the number of pastel paintings can not be negative). To maximize the profit, we came up with the equation 40x+100y=maximum profit. From there, we graphed all of our constraints as if they were equations for lines and came up with one feasible region. Within the feasible region lies every possible combination of watercolour and pastel paintings that the artist can make within the constraints. From there, we test every intersection point of two lines within the feasible region for the maximum profit. To do this, we input the coordinates of the points into the max profit equation we created, 40x+100y=max profit. We tested all four intersection points and found that the point (6,10) (6 pastel and 10 watercolour paintings) would give the artist the most possible profit.
Within our groups, every person had a certain role they had to perform. For example, I was the documenter, which means that I have to write down everything that happens in the problem. Natalie B., was the spokesperson, which means that she explained the process and our reccomendation to the client. John C. was the facilitator, which means he kept everyone on track and made sure we stayed focused. Last but not least, Sandra M. was the Geogebra guru, which means that she was in charge of putting all of our data into Geogebra and making our graph.
Overall, I think that our group as a whole, including our clients, was successful. I think Natalie did a wonderful job of explaining the math to our clients, making sure they understood it, and answering all of their questions. Sandra, did a very good job of being efficient when graphing our data, she worked fast, and created a very easy-to-read, neat graph. John was quiet mostly, but he didn't let us get off track for even a second. As for me, I think I did an exceptional job of keeping my notes and math organized while documenting. While solving problems previously, our group agreed we needed to work on our communication with each other, and I think we really improved on that during this problem. I think that we all contributed to this, Natalie did a better job of making sure that Sandra was getting the right information, I did a better job of making sure our data wasn't getting confused from the paper to the graph, and we all did a better job of advocating for ourselves if we needed help or didn't understand something. A challenge we faced was finishing very early. We came up with our recommendation about 20 minutes into the 1 hour time slot we had and after we told our clients our recommendation, we didn't really know what to do next. We overcame this challenge by encouraging our clients to ask clarifying questions, or any questions about the problem to make the time go by, while digging deeper into the problem.
As a documenter, my greatest strength was keeping my work in order, labeled, and organized to make sure that it was easy for me, my groupmates, and the client to understand. Something I could improve on as a documenter is writing down all information. Natalie took some of the documenting into her own hands, which was fine with me, but next time, I could step up and do it myself, so she doesn't have to.
Within our groups, every person had a certain role they had to perform. For example, I was the documenter, which means that I have to write down everything that happens in the problem. Natalie B., was the spokesperson, which means that she explained the process and our reccomendation to the client. John C. was the facilitator, which means he kept everyone on track and made sure we stayed focused. Last but not least, Sandra M. was the Geogebra guru, which means that she was in charge of putting all of our data into Geogebra and making our graph.
Overall, I think that our group as a whole, including our clients, was successful. I think Natalie did a wonderful job of explaining the math to our clients, making sure they understood it, and answering all of their questions. Sandra, did a very good job of being efficient when graphing our data, she worked fast, and created a very easy-to-read, neat graph. John was quiet mostly, but he didn't let us get off track for even a second. As for me, I think I did an exceptional job of keeping my notes and math organized while documenting. While solving problems previously, our group agreed we needed to work on our communication with each other, and I think we really improved on that during this problem. I think that we all contributed to this, Natalie did a better job of making sure that Sandra was getting the right information, I did a better job of making sure our data wasn't getting confused from the paper to the graph, and we all did a better job of advocating for ourselves if we needed help or didn't understand something. A challenge we faced was finishing very early. We came up with our recommendation about 20 minutes into the 1 hour time slot we had and after we told our clients our recommendation, we didn't really know what to do next. We overcame this challenge by encouraging our clients to ask clarifying questions, or any questions about the problem to make the time go by, while digging deeper into the problem.
As a documenter, my greatest strength was keeping my work in order, labeled, and organized to make sure that it was easy for me, my groupmates, and the client to understand. Something I could improve on as a documenter is writing down all information. Natalie took some of the documenting into her own hands, which was fine with me, but next time, I could step up and do it myself, so she doesn't have to.