Maximizing Constrained Optimization Problem

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The discussion addresses a typo in a constrained optimization problem, clarifying that the correct inequality should be R > n max (1≤i≤n) σi − (Σ n i=1 σi). Participants express uncertainty about how to proceed with part B of the problem. There is a suggestion to type out the problem and solution for better assistance, as screenshots are discouraged. The importance of following forum guidelines for effective help is emphasized. Clear communication of the problem is crucial for receiving support.
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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).
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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