Short Answer

Logistics Cost Model Baseline

A small business owner uses the operating cost model f(x)=3x2+2x15f(x) = 3x^2 + 2x - 15 to estimate peak-season logistics expenses, where xx is the volume factor. To onboard a new bookkeeping assistant, the owner wants to document the exact step-by-step procedure for evaluating this model when the volume factor is 3.

Recall the standard order of operations and the evaluation steps provided in the business's training manual. Describe the step-by-step process of evaluating f(3)f(3), showing:

  1. The initial substitution of the value 3 into the function.
  2. The simplification of the exponent term.
  3. The multiplication stage.
  4. The final simplified result.

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Updated 2026-06-02

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