Problem $7-3($Algo$)$

A time study was conducted on a job that contains four elements. The observed times and performance ratings for six cycles are shown in the following table.

OBSERVATIONS $($minutes per cycle$)$

Element Performance

Rating $123456$

$195\%0\mathrm{.}380\mathrm{.}430\mathrm{.}330\mathrm{.}330\mathrm{.}330\mathrm{.}33$

$2901\mathrm{.}381\mathrm{.}381\mathrm{.}331\mathrm{.}331\mathrm{.}331\mathrm{.}38$

$31150\mathrm{.}730\mathrm{.}730\mathrm{.}630\mathrm{.}680\mathrm{.}730\mathrm{.}68$

$41000\mathrm{.}981\mathrm{.}030\mathrm{.}981\mathrm{.}031\mathrm{.}031\mathrm{.}08$