The Price of Crude Oil in the Past Can Be $P(t)=40-(t-4)^{2}$

question 76

Short Answer

The price of crude oil in the past can be approximated by $P(t)=40-(t-4)^{2}$ , where P(t)is measured in $US/barrel, and time t is measured in months, with t = 0 on July 1, 1990.In the same time period, Saudi Arabia produced oil at a rate approximated by $R(t)=160+30 \arctan (t-3)$ (measured in million barrels per month).Assume that the oil is sold continuously two months after its production.How many billions of dollars did Saudi Arabia get for the oil it produced in the last 6 months of 1990? Round to 1 decimal place.

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