Use linear extrapolation to estimate the time when 9,000 units were completed.
Table of data ???? P.M. 9000 p
2:05 P.M. 9874 1
3:10 P.M. 11240 2
The ratio equation for extrapolation is:
However by rearranging the minus signs this can be shown to be identical to Equation 5:
Therefore you can use the equations given for interpolation for extrapolation.
Total production of 9000 units is reached at 1:23 P.M.
Check by minutes per unit
Between 2:05 P.M. and 3:10 P.M. (65 minutes)
units grow by (11240 — 9874) or 1366 units.
Thus, minutes per unit are 65 / 1366 = 0.04758 (min/unit)
9000 is 874 units before 9874
Thus, time to produce — 874 units is:
0.04758 (min/unit) * (— 874 units)
= — 41.6 min = — 42 min (rounded)
= 42 minutes before 2:05 P.M.
Therefore, 9000 units are reached at 2:05 P.M.— 42 minutes = 1:23 P.M.
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