SOLUTION: A manufacturer company produces doors. The number of doors, d, produced per week is related to the number of hours of labour, h, required per week to produce them by the function d

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Question 272491: A manufacturer company produces doors. The number of doors, d, produced per week is related to the number of hours of labour, h, required per week to produce them by the function d(h)=1.8√h.
a) What is the inverse function?
b)How many hours of labour are needed each week to keep production at or above 25 doors a week?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The number of doors, d, produced per week is related to the number of hours of
labour, h, required per week to produce them by the function d(h)=1.8√h.
:
a) What is the inverse function?
write it
1.8sqrt%28h%29+=+d
divide both sides by 1.8
sqrt%28h%29 = d%2F1.8
Square both sides
h = %28d%2F1.8%29%5E2
:
b)How many hours of labour are needed each week to keep production at or above 25 doors a week?
Use the above equation substitute 25 for d, find h
h = %2825%2F1.8%29%5E2
:
h = 13.9%5E2
h = 192.9 hrs to make 25 doors