Recent content by Darren1618
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Undergrad Maximize multiple linear equations under a single constraint
Stephen, I think your right but it is sort of confusing and I don't want to rant my thoughts on it because I don't know if it would even be right. Hotvette though, if your multiplying that column (vector?) to the matrix (determinate?) then yes that is the idea. I really can't think of any way...- Darren1618
- Post #11
- Forum: Linear and Abstract Algebra
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Undergrad Maximize multiple linear equations under a single constraint
The example isn't really applicable since I don't want to deal with rational numbers, but the answer would be a = .5 and b = .5, in the sense I am trying to visualize here. I say this because this is the largest possible answer for both A and B simultaneously. If you lowered either a or b then...- Darren1618
- Post #7
- Forum: Linear and Abstract Algebra
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Undergrad Maximize multiple linear equations under a single constraint
Hmmmm I'll try to be more specific, the problem is I have shown this to numerous instructors in my math department and nobody seems to know either. You are right about the first line of the matrix, and if we take the second line of the matrix there are values for a, b, c, d, and e which will...- Darren1618
- Post #5
- Forum: Linear and Abstract Algebra
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Undergrad Maximize multiple linear equations under a single constraint
I am not trying to maximize the sum of the unknown quantities A, B, C, and D. To simplify what I am doing, imagine two quantities A and B, which are both dependent upon variables x, y, and z. If x, y, and z are going to affect A and B simultaneously if you increase or decrease them, then what...- Darren1618
- Post #3
- Forum: Linear and Abstract Algebra
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Undergrad Maximize multiple linear equations under a single constraint
Hi, I hope this is going in the proper place, its essentially maximizing a matrix so here goes: Given the independent variables a, b, c, d, and e, and the system [ 1 1 0 5 1 | A ] [ 0 3 0 1 1 | B ] [ 4 1 1 0 1 | C ] [ 1 0 3 1 0 | D ] I want to find the a, b, c, d, and e that will...- Darren1618
- Thread
- Constraint Linear Linear equations Multiple
- Replies: 10
- Forum: Linear and Abstract Algebra