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[Step-by-Step] WORKER EFFICIENCY An efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at

Question: WORKER EFFICIENCY An efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at 8:00 A.M. will have assembled \(f(x)=-x^{3}+6 x^{2}+15 x\) transistor radios \(x\) hours later.

  1. Derive a formula for the rate at which the worker will be assembling radios after \(x\) hours.
  2. At what rate will the worker be assembling radios at 9:00 A.M.?
  3. How many radios will the worker actually assemble between 9:00 A.M. and 10:00 A.M.?

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