algebra - c Use the accompanying graph to estimate the time...

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Laboratories it was found that the number of components assembled per hour by the average worker t hours after starting work could be modeled by the formula N(t)=-3t^3 + 23t^2 +8t. : a) Rewrite the formula by factoring the right-hand side completely. n(t) = -3t^3 + 23t^2 + 8t factor out -t, changing signs makes it easier to factor n(t) = -t(3t^2 - 23t - 8) n(t) = -t(3t + 1)(t - 8) : b) Use the factored version of the formula to find N(3). n(t) = -t(3t + 1)(t - 8) n(3) = -3(3(3) + 1)(3 - 8) n(3) = -3(10)(-5) n(3) = +150 units
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Unformatted text preview: : c) Use the accompanying graph to estimate the time at which the workers are most efficient. Looks to be about 5.25 hrs, wouldn't you think? : d) Use the accompanying graph to estimate the maximum number of components assembled per hour during an 8-hour shift. : at 5.25 hrs it looks like 250 units per hr, however we can calculate that n(t) = -t(3t + 1)(t - 8) n(5.25) = -5.25(3(5.25) + 1)(5.25-8) n(5.25) = -5.25(16.75)(-2.75) n(5.25) = 241.8 ~ 240 units/hr would be closer...
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This note was uploaded on 01/05/2012 for the course 101 melissa jo taught by Professor Acc101 during the Spring '11 term at Aarhus Universitet.

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