A recently negotiated union contract allows workers in a shipping department 24 minutes for rest, 10 minutes for personal time,
1 answer:
Answer:7.125 min
Step-by-step explanation:
Given
Resting time =24 min
Personal time=10 min
Delay=14 min
Observed Time=6min/cycle
Performance Rating=95%
Allowance Time=Rest time+Personal time+delay
Allowance time=24+10+14=48 min
Allowance Factor=
Calculate the Normal Time
Normal time=Observed timepersonal Time=6\times 0.95=5.7 min
Standard time=Normal time Allowance Factor
Standard time ==7.125 min
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Let's start by visualising this concept.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.