An efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at 8:00a.m. will have produced $q(t) = -t^3 + 6t^2 + 24t$ units t hours later (i.e. offset 8:00a.m. as zero hours). Determine the productivity change at 11:00a.m. Select one: a. -6 units per hour$^2$ b. -54 units per hour$^2$ c. 54 units per hour$^2$ d. 6 units per hour$^2$
Added by Eric M.
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\[ P(t) = \frac{d}{dt} (6t^2 + 24t) = -3t^2 + 12t \] Show more…
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