An oil company discovered an oil reserve of 100 million barrels. For time , in years, the company's extraction plan is a linear declining function of time as follows:
q(t)a-bt
where qt is the rate of extraction of oil in millions of barrels per year at time t and b=.01 and a=14.
How long does it take to exhaust the entire reserve?
answer 7.335
The oil price is a constant 40 dollars per barrel, the extraction cost per barrel is a constant 16 dollars, and the market interest rate is 9 percent per year, compounded continuously. What is the present value of the company's profit?

Question

An oil company discovered an oil reserve of 100 million barrels. For time , in years, the company's extraction plan is a linear declining function of time as follows:
q(t)a-bt
where qt  is the rate of extraction of oil in millions of barrels per year at time t  and  b=.01 and  a=14.
 How long does it take to exhaust the entire reserve? 
answer 7.335
The oil price is a constant 40 dollars per barrel, the extraction cost per barrel is a constant 16 dollars, and the market interest rate is 9 percent per year, compounded continuously. What is the present value of the company's profit?

goformit100 · Answer

First of all for solving this question do you know the conception of : Profit and Loss

anonymous · Answer

Linear regression calculator

anonymous · Answer

for part b I tried using future continuous equation and find the antiderative my tutors couldn't figure it out