Solutions Calculus

Solution) A service station orders 100 cases of motor oil every 6 months. The number of cases of oil remaining

Question: A service station orders 100 cases of motor oil every 6 months. The number of cases of oil remaining t months after the order arrives is modeled by

\[f\left( t \right)=100{{e}^{-0.5t}}\]

(a) How many cases are there at the start of the six-month period? How many cases are left at the end of the 6-month period?

(b) Find the average number of cases in inventory over the six-month period

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