For this problem, we were trying to find a maximum profit for the client with their painting business, we had to use the limits of money and amount of paintings to find the maximum profit.
To find the maximum amount of money possible, the biggest part is to not go over the constraints. A few constraint that was included in this problem was the amount of paintings the artist could use. He could only create 18 paintings total. Over top of that is he can’t spend more than $180 total. Plus there were two different types of paint he could use, each with different cost. So pretty much you had to find a maximum combination between these two types of paint without going over and within spending too much money.
Plain = x Watercolor = y
Constraints
Above Negatives = x ≥ 0 y > 0
Profit = 40x + 100w
Cost = 5x + 15y ≤ 180
Paintings = x + y ≤ 16
After Inserting these Constraint in Geogebra it formed the feasible region. We found all the intersections points because those are the areas farthest away from the origin giving us the maximum amount. We found four intersections points:
(0,0) (0,12) (6,10) (16,0)
Then we took the x and y value and interested in the profit equation = 40x + 100w
4 x 0 + 100 x 0 = 0 4 x 0 + 100 x 12 = 1,200 4 x 6 + 100 x 10 = 1240 4 x 16 + 100 x 0 = 640
Jazmin was the documenter that wrote down all the work we did, Ashley was the facilitator that made sure all the group members were on task. Faris was also the Geogebra that made all the graphs to present to the client, and I was the the spokesperson that actually explained all the work to our client to clarify any of his questions. Our client name was Robert and he engaged well and asked lots of good questions. Ashley did a great job making sure all of us were on task the whole time including herself. Faris made the graphs look the best for the client to read using the staying organized habit, also Jazmin got all the mathematical equations done fast, I personally think I did well staying on task and was able to explain the problem professional with minimum errors using the being Confident, Patient and Persistent. Our group worked well together, we worked well together smart and fast. A challenge we had to overcome is the mistake of subtracting the cost of the paintings from the profit, but as a group we figured it all out. The strongest strength I had as a spokesperson was being able to present the information well to the client. If we had more time to go over the problem I would been able to present better.
To find the maximum amount of money possible, the biggest part is to not go over the constraints. A few constraint that was included in this problem was the amount of paintings the artist could use. He could only create 18 paintings total. Over top of that is he can’t spend more than $180 total. Plus there were two different types of paint he could use, each with different cost. So pretty much you had to find a maximum combination between these two types of paint without going over and within spending too much money.
Plain = x Watercolor = y
Constraints
Above Negatives = x ≥ 0 y > 0
Profit = 40x + 100w
Cost = 5x + 15y ≤ 180
Paintings = x + y ≤ 16
After Inserting these Constraint in Geogebra it formed the feasible region. We found all the intersections points because those are the areas farthest away from the origin giving us the maximum amount. We found four intersections points:
(0,0) (0,12) (6,10) (16,0)
Then we took the x and y value and interested in the profit equation = 40x + 100w
4 x 0 + 100 x 0 = 0 4 x 0 + 100 x 12 = 1,200 4 x 6 + 100 x 10 = 1240 4 x 16 + 100 x 0 = 640
Jazmin was the documenter that wrote down all the work we did, Ashley was the facilitator that made sure all the group members were on task. Faris was also the Geogebra that made all the graphs to present to the client, and I was the the spokesperson that actually explained all the work to our client to clarify any of his questions. Our client name was Robert and he engaged well and asked lots of good questions. Ashley did a great job making sure all of us were on task the whole time including herself. Faris made the graphs look the best for the client to read using the staying organized habit, also Jazmin got all the mathematical equations done fast, I personally think I did well staying on task and was able to explain the problem professional with minimum errors using the being Confident, Patient and Persistent. Our group worked well together, we worked well together smart and fast. A challenge we had to overcome is the mistake of subtracting the cost of the paintings from the profit, but as a group we figured it all out. The strongest strength I had as a spokesperson was being able to present the information well to the client. If we had more time to go over the problem I would been able to present better.