$S ( x ) = - x ^ { 3 } + 6 x ^ { 2 } + 288 x + 4000,4 \leq x \leq 20$

question 192

Multiple Choice

$S ( x ) = - x ^ { 3 } + 6 x ^ { 2 } + 288 x + 4000,4 \leq x \leq 20$ 0 is an approximation of the number of salmon swimming upstream to spawn, where x represents the water temperature in degrees Celsius. Find the temperature that produces the
Maximum number of salmon.

• A) \(12 ^ { \circ } \mathrm { C }\)
• B) \(4 ^ { \circ } \mathrm { C }\)
• C) \(8 ^ { \circ } \mathrm { C }\)
• D) \(20 ^ { \circ } \mathrm { C }\)

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Definitions:

Random

Lacking any definite plan or order or purpose; governed by or depending on chance.

Warranted

Justified or supported by reasonable evidence or authority.

Sound

Audible vibrations perceived by the ears or a descriptor for arguments, reasoning, or principles that are based on solid reasoning or evidence.

Valid

Legally sound, officially acceptable, or able to withstand objection or challenge.