The productivity of workers at a shoe factory (in pairs of shoes per hour) can be modeled using the function p(h) = -2/7h + 5, where h is the number of hours. If a worker must create at least 3 pairs of shoes per hour for the company to be profitable, how long should the worker's shift be?

Respuesta :

Answer:

  no more than 7 hours

Step-by-step explanation:

You want p(h) ≥ 3, so ...

  p(h) ≥ 3

  -2/7h +5 ≥ 3

  2 ≥ 2/7h . . . . . . add 2/7h -3

  7 ≥ h . . . . . . . . . multiply by 7/2

The worker's shift should be 7 hours or less.

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