SOLUTION: In an oil field, as more wells are drilled each oil well pumps less oil; however, the total amount of oil pumped may increase. Suppose an oil field with 20 wells produces 10,000 ba

Question 199401: In an oil field, as more wells are drilled each oil well pumps less oil; however, the total amount of oil pumped may increase. Suppose an oil field with 20 wells produces 10,000 barrels of oil daily. For each additional well, the production capacity of every well decreases by 10 barrels per day. Express the total volume V of oil pumped per day in terms of x, where x is the number of wells added.
ISBN: 1-56577-146-X
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
In an oil field, as more wells are drilled each oil well pumps less oil;
however, the total amount of oil pumped may increase. Suppose an oil field
with 20 wells produces 10,000 barrels of oil daily. For each additional well,
the production capacity of every well decreases by 10 barrels per day.
Express the total volume V of oil pumped per day in terms of x, where x is the number of wells added.
:
When there are 20 wells producing 10000 barrels a day, then:
= 500 barrels a day from each well:
V = (20 + x)*(500 - 10x)
FOIL
V = 10000 - 200x + 500x - 10x^2
:
V = 10000 + 300x - 10x^2
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