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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≥−1a,b,c,d,e\geq -1 and a+b+c+d+e=5.a+b+c+d+e=5. Find the maximum and minimum value of S=(a+b)(b+c)(c+d)(d+e)(e+a).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
5
config / split
/ test

Official source

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