Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is y = 44t + 0.5t2 − t3, 0 ≤ t ≤ 6. (a) Find the critical values of this function. (Assume −∞ < t < ∞. Enter your answers as a comma-separated list.) t = (b) Which critical values make sense in this particular problem? (Enter your answers as a comma-separated list.) t = (c) For which values of t, for 0 ≤ t ≤ 6, is y increasing? (Enter your answer using interval notation.)
Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is y = 44t + 0.5t2 − t3, 0 ≤ t ≤ 6. (a) Find the critical values of this function. (Assume −∞ < t < ∞. Enter your answers as a comma-separated list.) t = (b) Which critical values make sense in this particular problem? (Enter your answers as a comma-separated list.) t = (c) For which values of t, for 0 ≤ t ≤ 6, is y increasing? (Enter your answer using interval notation.)
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.6P
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Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is
y = 44t + 0.5t2 − t3, 0 ≤ t ≤ 6.
(a) Find the critical values of this function. (Assume
(b) Which critical values make sense in this particular problem? (Enter your answers as a comma-separated list.)
(c) For which values of t, for 0 ≤ t ≤ 6, is y increasing? (Enter your answer using interval notation.)
−∞ < t < ∞.
Enter your answers as a comma-separated list.)t =
(b) Which critical values make sense in this particular problem? (Enter your answers as a comma-separated list.)
t =
(c) For which values of t, for 0 ≤ t ≤ 6, is y increasing? (Enter your answer using interval notation.)
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