Discussion
In the model \(S = Q - ut\), a stock out will occur when :
Answer: C
A stock-out occurs when \(t = Q/u\).
In \(S = Q - ut\), the stock starts at Q and is used at the constant rate \(u\). It runs out when \(S = 0\):
\[ Q - ut = 0 \Rightarrow t = \frac{Q}{u} \]
At \(t = 0\) the stock is full, \(u/Q\) inverts the ratio (it is the fraction of the order used per unit time), and \(Q = S\) holds only at \(t = 0\).
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