The Sales S (In Thousands of Units) of a Seasonal $S = 73.24 + 44.29 \sin \frac { \pi t } { 6 }$

question 45

Multiple Choice

The sales S (in thousands of units) of a seasonal product are given by the model $S = 73.24 + 44.29 \sin \frac { \pi t } { 6 }$ where $t$ is the time in months, with $t = 1$ corresponding to January. Find the average sales for the first quarter $( 0 \leq t \leq 3 )$ . Round your answer to three decimal places.

• A) \(90.916\) thousand units
• B) \(92.084\) thousand units
• C) \(101.436\) thousand units
• D) \(129.632\) thousand units
• E) \(72.486\) thousand units

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Definitions:

Polarized Traits

Characteristics that show a clear division or contrast between two extreme or opposite types or tendencies.

Self-goal Setting

The process of individuals setting their own specific, measurable, and time-bound objectives to improve performance or achieve certain outcomes.

Compensating

The act of offering something, typically money, to make up for loss, damage, or inconvenience caused.

Intangible Rewards

Non-material benefits received from an activity or job, like recognition or personal satisfaction.