Use linear interpolation to estimate the time when total production reached 14,000 units.
Table of data 3:10 P.M. 11240 1
??:?? P.M. 14000 p
4:07 P.M. 14371 2
Total production of 14000 units is reached at 4:00 P.M.
Check by minutes per unit
Between 4:07 P.M. and 3:10 P.M. (57 minutes)
units grow by (14371 — 11240) or 3131 units. Thus, minutes per unit are 57 / 3131 = 0.01820 (min/unit)
14000 is 2760 units after 11240
Thus, time to produce 2760 units is:
0.01820 (min/unit)* 2760 (unit)
= 50.2 min = 50 min (rounded) = 50 minutes after 3:10 P.M.
Therefore, 14000 units are reached at 3:10 + 50 minutes = 4:00 P.M.
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