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Analysis of daily output by a factory employee shows that, on average, the number of units...

Analysis of daily output by a factory employee shows that, on average, the number of units per hour produced after t hours on the job can be modeled by y = 70t + 0.5t 2 − t 3 where 0 ≤ t ≤ 8.

(a) Thinking about the context of this problem, explain why t-values in this model might be restricted to values between t = 0 and t = 8.

(b) Find all the critical numbers for this function. Hint: You may want to use the quadratic formula or a quadratic program on your calculator as part of this calculation.

(c) Which critical number(s) that you found in part (b) make sense in this problem? Explain your reasoning in the context of this problem.

(d) For the critical number(s) you stated in part (c), explain, in the context of this problem, what this critical number tells you.

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Expert Solution

milcah answered 3 years ago
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