An efficiency study conducted for Elektra Electronics showed that the number of
ID: 2858059 • Letter: A
Question
An efficiency study conducted for Elektra Electronics showed that the number of Space Commander walkie-talkies assembled by the average worker during the morning shift t hr after starting work at 8 a.m. is given by N(t) = t3 + 6t2 + 15t (0 t 4).
(a) Find the rate at which the average worker will be assembling walkie-talkies t hr after starting work.
=3t2+12t+15
(b) At what rate will the average worker be assembling walkie-talkies at 10 a.m.?
=27 walkie-talkies/hour
At what rate will the average worker be assembling walkie-talkies at 11 a.m.?
=24 walkie-talkies/hour
(c) How many walkie-talkies will the average worker assemble between 10 a.m. and 11 a.m.?
=??? walkie-talkies
Explanation / Answer
(c) Given that, the number of Space Commander walkie-talkies assembled by the average worker during the morning shift t hr after starting work at 8 a.m. is given by N(t) = t3 + 6t2 + 15t (0 t 4).
Thus, the number of walkie-talkies the average worker will assemble between 10 a.m. and 11 a.m.
=N(3)-N(2) walkie-talkies
putting t=3 in N(t)
N(3)= -27+54+45 = 72
putting t=2 in N(t)
N(2)= -8+24+30 = 46
Thus, N(3) - N(2) = 72-46 = 26.
Thus, the number of walkie-talkies the average worker will assemble between 10 a.m. and 11 a.m.
=N(3)-N(2) walkie-talkies
=26 walkie-talkies
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