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Omni-MATH / Let a,b,c,d,e≥−1 and a+b+c+d+e=5. Find the maximum and minimum value of S=(a+b)(b+c)(c+d)(d+e)(e+a).

Problem

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problem

Let

a,b,c,d,e\geq -1

and

a+b+c+d+e=5.

Find the maximum and minimum value of

S=(a+b)(b+c)(c+d)(d+e)(e+a).

Plain-text mathematical notation (without MathML)

Let a,b,c,d,e≥−1 and a+b+c+d+e=5. Find the maximum and minimum value of S=(a+b)(b+c)(c+d)(d+e)(e+a).

Original LaTeX notation

Let $a,b,c,d,e\geq  -1$ and $a+b+c+d+e=5.$ Find the maximum and minimum value of $S=(a+b)(b+c)(c+d)(d+e)(e+a).$

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Source and history

task_id: 0a2f6002-3178-51e8-bc7d-93939135feae
task_key: test--0a2f6002-3178-51e8-bc7d-93939135feae
task_revision_id: 2
config / split: / test

Official source

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