An industrial psychologist two at the Chilco appliance factory. The first study indicates that the average worker who arrives on the job at 8:00 a.M. will have assembled -'+ 61 + 13r blenders in 1 hours (without a break), for 0 < 1 < 4. The second study suggests that after a 15-minute coffee break, the average worker can assemble -++25 blenders in t hours after the break for 0 < t < 4. Note: The 15-minute break is not part of the work time. a. Verify that if the coffee break occurs at 10:00 A.M., the av- erage worker will assemble 42 blenders before the break and 49 blenders for the two hours after the break. b. Suppose the coffee break is scheduled to begin x hours af- ter 8:00 A.M. Find an expression for the total number of blenders N(x) assembled by the average worker during the morning shift (8 A.M. to 12:15 P.M.). c. At what time should the coffee break be scheduled so that the average worker will produce the maximum number of

Intermediate Algebra
19th Edition
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Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
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53. An industrial psychologist conducts two efficiency studies at
the Chilco appliance factory. The first study indicates that the
average worker who arrives on the job at 8:00 A.M. will have
assembled
-1'+ 61 +13r
blenders in t hours (without a break), for 0 <t < 4. The
second study suggests that after a 15-minute coffee break, the
average worker can assemble
++ 251
blenders in t hours after the break for 0 < t < 4. Note: The
15-minute break is not part of the work time.
a. Verify that if the coffee break occurs at 10:00 A.M., the av-
erage worker will assemble 42 blenders before the break
and 49 blenders for the two hours after the break.
b. Suppose the coffee break is scheduled to begin x hours af-
ter 8:00 A.M. Find an expression for the total number of
blenders N(x) assembled by the average worker during the
morning shift (8 A.M. to 12:15 P.M.).
c. At what time should the coffee break be scheduled so that
the average worker will produce the maximum number of
ders e momina chift2. How is thic ontimum
blen
Transcribed Image Text:53. An industrial psychologist conducts two efficiency studies at the Chilco appliance factory. The first study indicates that the average worker who arrives on the job at 8:00 A.M. will have assembled -1'+ 61 +13r blenders in t hours (without a break), for 0 <t < 4. The second study suggests that after a 15-minute coffee break, the average worker can assemble ++ 251 blenders in t hours after the break for 0 < t < 4. Note: The 15-minute break is not part of the work time. a. Verify that if the coffee break occurs at 10:00 A.M., the av- erage worker will assemble 42 blenders before the break and 49 blenders for the two hours after the break. b. Suppose the coffee break is scheduled to begin x hours af- ter 8:00 A.M. Find an expression for the total number of blenders N(x) assembled by the average worker during the morning shift (8 A.M. to 12:15 P.M.). c. At what time should the coffee break be scheduled so that the average worker will produce the maximum number of ders e momina chift2. How is thic ontimum blen
c. At what time should the coffee break be scheduled so that
the average worker will produce the maximum number of
blenders during the morning shift? How is this optimum
time related to the point of diminishing returns?
с.
Transcribed Image Text:c. At what time should the coffee break be scheduled so that the average worker will produce the maximum number of blenders during the morning shift? How is this optimum time related to the point of diminishing returns? с.
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