Use linear interpolation to estimate the time when total production reached 16,000 units.
Table of data 4:07 P.M. 14371 1
??:?? P.M. 16000 p
5:01 P.M. 16110 2
Total production of 16000 units is reached at 4:58 P.M.
Check by minutes per unit
Between 5:01 P.M. and 4:07 P.M. (54 minutes)
units grow by (16110 — 14371) or 1739 units. Thus, minutes per unit are 54 / 1739 = 0.03105 (min/unit)
16000 is 1629 units after 14371
Thus, time to produce 1629 units is:
0.03105 (min/unit)* 1629 (unit)
= 50.6 min = 51 min (rounded) = 51 minutes after 4:07 P.M.
Therefore, 16000 units are reached 4:07 + 51 minutes = 4:58 P.M.
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