Need help with calculus word problem.

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ccooper5867

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An oil field contains 8 wells, which produce a total of 1600 barrels of oil per day. For each additional well that is drilled, the average production per well decreases by 10 barrels per day. How many additional wells should be drilled to obtain the maximum amount of oil per day?
 
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ccooper5867 said:
An oil field contains 8 wells, which produce a total of 1600 barrels of oil per day. For each additional well that is drilled, the average production per well decreases by 10 barrels per day. How many additional wells should be drilled to obtain the maximum amount of oil per day?
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Production/well now = 200

# of wells = 8

Total production before = 8*200 barrells

Assume that N additional wells are drilled.

total # of wells after that = 8 + N

production/well = 200 - N*10

Total production after = (8 + N) * (200 - N*10)

Now continue....
 
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