#Commision
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a) 8 hours = 60×8 = 480 minutes
480/15 = 32 pots
32 = 10+14+8
$12×8+$4×10+$5×14+$6×8 = $254
b) time to make 1 pot = t minutes
6 hours = 60×6 = 360 minutes
(360/t) pots
12×6+4×10+5×14+6×((360/t)-24)
= 254
182+((2160/t)-144) = 254
(2160/t)+38 = 254
2160/t = 216
216t = 2160
t = 10 minutes
c) commission rate = $c/pot
8 hours = 60×8 = 480 minutes
480/10 = 48 pots
c×48 = 254
c = 254/48 = $5.292/pot