A retail store sells a certain product at the rate of g(t) units per week at time

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A retail store sells a certain product at the rate of g(t) units per week at time t, where g(t) = rt. At time t = 0, the store has Q units of the product in inventory.

(a) Find a formula f (t) for the amount of product in inventory at time t.

(b) Determine the value of r in part (a) such that the inventory is exhausted in A weeks.

(c) Using f (t), with r as in part (b), find the average inventory level during the period 0 ≤ t ≤ A.

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Calculus And Its Applications

ISBN: 9780134437774

14th Edition

Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar

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