Search for question
Question

An oil refinery produces oil at a variable rate given by the following equation, where t is measured in days and Q is measure in barrels. Q^{\prime}(t)=\left\{\begin{array}{ll}

800 & \text { if } 0 \leq t<30 \\

2500-60 t & \text { if } 30 \leq t<40 \\

400 & \text { if } t \geq 40

\end{array}\right. a. How many barrels are produced in the first 35 days? b. How many barrels are produced in the first 50 days? c. Without using calculus, determine the number of barrels produced over the interval [70,80].

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5