Maximizing Constrained Optimization Problem

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SUMMARY

The discussion centers on a constrained optimization problem where a critical typo in the homework statement is identified. The correct formulation is R > n max (1≤i≤n) σi − (Σ n i=1 σi), which clarifies the inequality necessary for solving the problem. Participants express uncertainty regarding the approach to part B of the assignment, indicating a need for clearer guidance on problem-solving strategies. The conversation emphasizes the importance of precise mathematical notation in optimization problems.

PREREQUISITES
  • Understanding of constrained optimization principles
  • Familiarity with mathematical notation and inequalities
  • Basic knowledge of sigma notation and its applications
  • Experience with problem-solving strategies in mathematical contexts
NEXT STEPS
  • Review the principles of constrained optimization
  • Study mathematical inequalities and their implications in optimization
  • Learn about sigma notation and its usage in mathematical proofs
  • Explore problem-solving techniques specific to optimization problems
USEFUL FOR

Students studying optimization theory, mathematicians tackling constrained problems, and educators seeking to clarify mathematical notation in assignments.

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Homework Statement


Snip20151102_3.png

There is a typo in the problem, ”R > Σ n i=1 σi − n max 1≤i≤n σi” which should be R > n max (1≤i≤n) σi − (Σ n i=1 σi )

Homework Equations

The Attempt at a Solution


Snip20151102_4.png

Not sure where to go with part B or where to start...
 
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hellomrrobot said:

Homework Statement


View attachment 91270
There is a typo in the problem, ”R > Σ n i=1 σi − n max 1≤i≤n σi” which should be R > n max (1≤i≤n) σi − (Σ n i=1 σi )

Homework Equations

The Attempt at a Solution


View attachment 91271
Not sure where to go with part B or where to start...

If you type out the problem and solution I will be glad to look at it; otherwise, not. (Screenshots are not illegal in PF, but are strongly discouraged, and many helpers will not look at them, and for good reasons. See the pinned article "Guidelines for helpers and students", by Vela).
 

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